3

IAOeIIIAEUeIA AEAAeAIIss IAOE OE?A?IE

IINOEOOO EIAA?IAOEEE IIAII A.I. AEOOEIAA

Ia i?aaao ?oeiieno

Na?iaeiaa Aaeeia Ieaenaiae?iaia

OAeE 519.6

AEAI?EOII*II ANIAEOE IAOIAeO

NEII*AIEO AEAIAIOIA

01.01.07 – ia/enethaaeueia iaoaiaoeea

Aaoi?aoa?ao

aeena?oaoei? ia caeiaoooy a/aiiai nooiaiy

eaiaeeaeaoa oiceei-iaoaiaoe/ieo iaoe

Ee?a – 1998

Aeena?oaoeiy ? ?oeiien.

?iaioa aeeiiaia ia eaoaae?i /enaeueieo iaoiaeia

iaoaiaoe/ii? oiceee Ee?anueeiai oiiaa?neoaoo

?iaii Oa?ana Oaa/aiea.

Iaoeiaee ea??aiee: aeieoi? o?ceei-iaoaiaoe/ieo iaoe,

i?ioani? IAEA?IA Aieiaeeie? Eaii?aeiae/,
Ee?anueeee oi?aa?neoao ?iai? Oa?ana Oaa/aiea, oaeoeueoao
e?aa?iaoeee, caa?aeoaa/ eaoaae?ith /enaeueieo iaoiae?a
 iaoaiaoe/ii? o?ceee

Io?oe?ei? iiiiaioe: aeieoi? o?ceei-iaoaiaoe/ieo iaoe,

i?ioani? I?EEAC*EEIA A?eoi?
Aai?a?eiae/, 

Ee?anueeee oi?aa?neoao ?iai? Oa?ana Oaa/aiea,
oaeoeueoao e?aa?iaoeee, eaoaae?a ia/enethaaeueii?
iaoaiaoeee

eaiaeeaeao o?ceei-iaoaiaoe/ieo iaoe,

ssEIAE?A Ieoaeei Oaaei?iae/, noa?oee
iaoeiaee ni?a?ia?oiee ?inoeoooo e?aa?iaoeee ?iai?
A.I.Aeooeiaa IAI Oe?a?ie

I?ia?aeia onoaiiaa — Euea?anueeee aea?aeaaiee oi?aa?neoao ?iai? Iaaia
O?aiea,

oaeoeueoao i?eeeaaeii? iaoaiaoeee,

eaoaae?a ia/enethaaeueii? iaoaiaoeee

Caoeno aiaeaoaeaoueny “25” a?oaeiy 1998 ?. i 11 aiaeeii ia caniaeaiii
niaoeiaeiciaaii? a/aii? ?aaee Ae 26.194.01 i?e Iinoeoooi eiaa?iaoeee
iiaii A.I.Aeooeiaa IAI Oe?a?ie ca aae?anith: 252022, Ee?a-22, i?iniaeo
Aeaaeaiiea Aeooeiaa, 40.

C aeena?oaoei?th iiaeia iciaeiieoenue a iaoeiai-oaoii/iiio a?oiai
Iinoeoooo eiaa?iaoeee iiaii A.I. Aeooeiaa IAI Oe?a?ie.

Aaoi?aoa?ao ?icineaiee “25” eenoiiaaea 1998 ?.

A/aiee nae?aoa?

niaoeiaeiciaaii? a/aii? ?aaee II?NA?IEI A.A.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

AEOOAEUeIINOUe OAIE

Iaeiei ic iaeaieueo iioe?aieo iaoiaeia ?ica’ycoaaiiy caaea/
iaoaiaoe/ii? oiceee ? iaoiae neii/aiieo aeaiaioia. ?icaeoie oai?i?
oeueiai iaoiaeo ca’ycaiee c iiaiaie oaeeo aiaeiieo iaoaiaoeeia, ye ?.
Eo?aio, E. O?iae?ion, I.A. Naia?nueeie, A.No?aa, Aeae. Iaeai, I.
Aaaooea, A.I. Ia?/oe, N.A. Iioeii, TH.E. Aeai’yiiae/, I.Ceieaae/, A.A.
Ei?i??a oa aaaaoueio iioeo. ?acii c oei ?yae aeai?eoii/ieo aniaeoia
neii/aiiiaeaiaioieo iaoiaeia eeoeeeny aiaee?eoeie, oi/a aiie e
noaiiaeyoue cia/iee iioa?an aeey i?aeoeee. Na?aae ieo iniaeeao ?ieue
aiaeia?athoue ieoaiiy i?i aoaeoeaio ioeiieo noaeeo noieeinoi a ?icieo
ii?iao, ai aiae ieo caeaaeeoue aeai? no?aoaai? o?eaiaoeyoei? iaeanoi,
iaoiiaeaiinoue aiaeiiaiaeieo aeaaa?a?/ieo nenoai, a oaeiae aaee/eia
noaeeo, ui aoiaeyoue a ai?ii?ii ioeiiee oi/iinoi neii/aiiiaeaiaioieo
ai?ieneiaoeie. Cai?iiiiiaaia aeena?oaoeiy i i?enay/aia aeineiaeaeaiith
aeuaaeacaieo ieoaiue. E??i oeueiai, a iie iaa?oioiaaii eiiaiiiaaiee
iaoiae aeey ?ica’ycoaaiiy neii/aiiiaeaiaioii? ai?ieneiaoei? caaea/i i?i
caei ieanoei, yeee aaco?oueny ia ia?oiaiio iaoiaei oa iaoiaei aei/ii?
aa?oiuei? ?aeaenaoei?, c ioeiieith aeai?eoii/ii? neeaaeiinoi
(o?oaeiiinoeinoi), a oaeiae ciaeaeaii noaei a oai?aiao i?i i?iaeiaaeaiiy
eoneiai-iieiiiiiaeueieo ooieoeie. Ana oea iaoiiaeth? aeooaeueiinoue
aeena?oaoeieii? ?iaioe.

IAOITH ?IAIOE ?:

— aoaeoeaia aeai?eoii/ia ?aaeicaoeiy noai iaoiaeo neii/aiieo aeaiaioia
aeey caaea/ oai?i? i?oaeiinoi i ia?oaaiai iaoiaeo;

— iiaoaeiaa i?aaeiaoiiaethaa/a a ioa?aoeieieo iaoiaeao aeey
ciaoiaeaeaiiy ?ica’yceo nenoai neii/aiiiaeaiaioieo ?iaiyiue, ui
ai?ieneiothoue caaea/o Aei?ioea aeey ?iaiyiiy Ioanniia a iaeanoyo
neeaaeii? oi?ie;

— io?eiaiiy aoaeoeaieo ioeiiie noaeeo noieeinoi eo?aioianueeeo
ai?ieneiaoeie a iao?eeao i?inoi?ia L2, W21, a oaeiae aneiioioe/iiai
i?aaenoaaeaiiy noaeeo noieeinoi o aeiaaeeo ae?iaeaeaiiy o?eeooieeia;

— iiaoaeiaa aeecueei? aei iioeiaeueii? o?eaiaoeyoei? ( — o?eaiaoeyoei?)
aeey iaeanoae c a?aieoeath, ui iaeaaeeoue aei ?icieo eeania aeaaeeinoi
(iaia?a?aii-aeeoa?aioeeiaaia, eoneiai-aeaaeea a?aieoey c iaioeaaeie
eooaie, a oaeiae eoneiai-aeaaeea a?aieoey c aioo?ioiiie ioeueiaeie
eooaie noaiaiaaeo ii?yaeeia);

— aeiaaaeaiiy oai?aie i?i i?iaeiaaeaiiy eoneiai-eiiieieo nioeiaeo
ooieoeie.

CAAAEUeIA IAOIAeEEA AeINEIAeAEAIIss.

A ?iaioi canoiniaothoueny iaoiaee iaoaiaoe/ii? oiceee,
ooieoeiiiaeueiiai aiaeico i ia/enethaaeueii? iaoaiaoeee.

IAOEIAA IIAECIA

Cai?iiiiiaaia iiaa no?aoaaiy iiaoaeiae o?eaiaoeyoeie a caeaaeiinoi aiae
aeaaeeinoi a?aieoei, ciaeaeaii aoaeoeaii ioeiiee ia?aiao?ia
o?eaiaoeyoei? i aeanieo /enae eaaae?aoe/ieo oi?i o aeiaaeeo
eo?aioianueeeo neii/aieo aeaiaioia. Iaea?aeaii aoaeoeaii ioeiiee noaeeo
noieeinoi eo?aioianueeeo ai?ieneiaoeie a W21. Io?eiaii aneiioioe/ia
i?aaenoaaeaiiy noaeeo noieeinoi o aeiaaeeo ae?iaeaeaiiy o?eeooieeia.
Aeaii oai?aoe/ia iaa?oiooaaiiy ia?oaaiai iaoiaeo aeey ciaoiaeaeaiiy
?ica’yceo ?icieoeaai? noaie, ca’ycaii? c caaea/ath i?i caei ieanoeiee,
ciaeaeaii ioeiiee ia/enethaaeueii? neeaaeiinoi aiaeiiaiaeiiai aeai?eoio.

I?AEOE*IA OeIIIINOUe

?acoeueoaoe, io?eiaii a aeena?oaoei?, iiaeooue ciaeoe canoinoaaiiy a
oai?aoe/ieo aeineiaeaeaiiyo, iia’ycaieo c iaoiaeii neii/aieo aeaiaioia
aeey caaea/ iaoaiaoe/ii? oiceee, a oaeiae aeey i?aeoe/iiai ?ica’ycoaaiiy
aeayeeo caaea/ iaoaiiee oaa?aeiai aeaoi?iiaaiiai oiea.

AI?IAAOeIss ?IAIOE

?acoeueoaoe aeena?oaoei? iioaeieiaaii a 1 iiiia?aoi? oa 5 noaooyo, a
oaeiae aeiiiaiaeaeeny ia eaoaae?i /enaeueieo iaoiaeia iaoaiaoe/ii?
oiceee oaeoeueoaoo eiaa?iaoeee Ee?anueeiai oiiaa?neoaoo iiaii Oa?ana
Oaa/aiea i ia iaoeiaiio naiiia?i eaai?aoi?i? iaoiaeia ia/eneaiue
Iaoeiai-aeineiaeiiai iinoeoooo iaoaiaoeee i iaoaiiee iiaii aeaaeaiiea
A.I. Nii?iiaa Naieo-Iaoa?ao?anueeiai oiiaa?neoaoo.

IA’?I I NO?OEOO?A ?IAIOE

Aeena?oaoeiy neeaaea?oueny ic anooio, o?ueio aeaa, o?ueio aeiaeaoeia,
caeeth/aiiy oa nieneo eioa?aoo?e. Aeena?oaoeiy iaienaia ia 157 noi?iieao
iaoeiiieniiai oaenoo, iinoeoue 5 iaethieia i 12 oaaeeoeue.

CIINO ?IAIOE

A aeaai I ?icaeyiooee eiiaiiiaaiee iaoiae aeey ?ica’ycoaaiiy
neii/aiiaeaiaioii? ai?ieneiaoei? caaea/i i?i caei ieanoeiee, ui
aaco?oueny ia ia?oaaiio iaoiaei i iaoiaei aei/ii? aa?oiuei? ?aeaenaoei?
oa ? aieueo aoaeoeaiei o ii?iaiyiii c iioeie iaoiaeaie.

?icaeyiaii caaea/o caeia ieanoeee a i?yiieooieeo

u(0) = f(x)
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Aeey ?ica’ycaiiy oei?? caaea/i nei?enoo?iinue ianooiiith ?icieoeaaith
noaiith A.A.Ei?i??aa.

6/h3 [(2/h (-ui-1, j (0) + 2ui, j (0) — ui+1, j (0)) – (ui-1, j (1) +
ui+1, j (1)) +

2/h(-ui, j-1 (0) + 2ui, j (0) — ui, j+1 (0)) — ui, j-1 (2) + ui, j+1
(2))] = f(xi).

1/h2 [(6/h (ui-1, j (0) — ui+1, j (0)) + 2(ui-1, j (1) + 4ui, j (1) +
ui+1, j (1)) +

+ (-ui, j-1 (1) + 2ui, j (1) — ui, j+1 (1))] = 0.

1/h2 [(6/h (ui-1, j (0) — ui, j+1 (0)) + 2(ui, j-1 (2) + 4ui, j (2) +
ui, j+1 (2)) +

+ (-ui-1, j (2) + 2ui, j (2) — ui+1, j (2))] = 0.

Ooo uh(0), uh(1), uh (2) – nioeiai ooieoei?, yei aiaeiiaiaeathoue
cia/aiiyi uh(0), du(0)/do1, du(0)/do2, ui caaeaii a aoceao oi
i?yiieooii? nioee, i?e/iio ui = 0, yeui oi , i= (i1, i2, i3). Nenoaio
?icieoeaaeo ?iaiyiue caieoaii o aeaeyaei

My = f,

aea
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N = AO,

picscalex1000100090000036f0300000300170000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02200900291200000026060f001a00ffffffff00001000
0000c0ffffffbeffffffc0280000de0800000b00000026060f000c004d61746854797065
0000200209000000fa02000010000000000000002200040000002d010000050000001402
a9063303050000001302a90658140500000014024200ff02050000001302be08ff020500
0000140242007e14050000001302be087e14050000001402c106831a050000001302c106
e9260500000014025b004f1a050000001302a5084f1a0500000014025b000f2705000000
1302a5080f2717000000fb0220ff0000000000009001000000cc0402001054696d657320
4e657720526f6d616e2043797200cc7d040000002d01010008000000320ab70844280100
00006e0008000000320ab7084027010000006e0008000000320ad008b315010000006e00
08000000320ad008af14010000006e0008000000320a98073c1001000000540008000000
320a5d05f70601000000540008000000320a1d03040401000000540017000000fb0280fe
0000000000009001000000cc0402001054696d6573204e657720526f6d616e2043797200
cc7d040000002d01020004000000f001010008000000320a2b082f260100000053000800
0000320a2b08192401000000300008000000320a2b086922010000002e0008000000320a
2b08cb20010000002e0008000000320a2b08bb1e01000000300008000000320a2b08991c
01000000300008000000320a2b08771a01000000300008000000320a2106ad2601000000
2e0008000000320a21060f25010000002e0008000000320a2106ff220100000030000800
0000320a2106dd2001000000300008000000320a2106af1e01000000530008000000320a
2106991c01000000300008000000320a2106771a01000000300008000000320ae103ad26
010000002e0008000000320ae1030f25010000002e0008000000320ae103ff2201000000
300008000000320ae103dd2001000000300008000000320ae103bb1e0100000030000800
0000320ae1038d1c01000000530008000000320ae103771a01000000300008000000320a
a101ad26010000002e0008000000320aa1010f25010000002e0008000000320aa1012f23
010000002e0008000000320aa101dd2001000000300008000000320aa101bb1e01000000
300008000000320aa101991c01000000300008000000320aa1016b1a0100000053000800
0000320ae004ae1701000000420008000000320a4408581201000000440008000000320a
4408650f01000000460008000000320a44083d0d01000000300008000000320a44081b0b
01000000300008000000320a44086b09010000002e0008000000320a4408cd0701000000
2e0008000000320a44082f06010000002e0008000000320a44081f040100000030000800
0000320a09061c14010000002e0008000000320a09060c1201000000300008000000320a
0906ea0f01000000300008000000320a0906c80d01000000300008000000320a0906940b
01000000460008000000320a0906130901000000440008000000320a0906200601000000
460008000000320a0906270301000000300008000000320ac9031c14010000002e000800
0000320ac903fa11010000002e0008000000320ac903ea0f01000000300008000000320a
c903c80d01000000300008000000320ac9038e0b01000000300008000000320ac9031309
01000000460008000000320ac903200601000000440008000000320ac9032d0301000000
460008000000320a89011c14010000002e0008000000320a8901fa11010000002e000800
0000320a8901d80f010000002e0008000000320a8901c80d01000000300008000000320a
89018e0b01000000300008000000320a89010d0901000000300008000000320a89012006
01000000460008000000320a89012d0301000000440008000000320ae0043a0001000000
c00010000000fb0220ff0000000000009001000000020002001053796d626f6c00020400
00002d01010004000000f001020008000000320ab708bd2701000000b40008000000320a
d0082c1501000000b40010000000fb0280fe000000000000900100000002000200105379
6d626f6c0002040000002d01020004000000f001010008000000320ae0040a1901000000
3d0008000000320ae004831601000000d70008000000320ae004ba01010000003d000a00
000026060f000a00ffffffff01000000000010000000fb021000070000000000bc020000
00cc0102022253797374656d00cc040000002d01010004000000f0010200030000000000
0000

picscalex100010009000003830200000300170000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c024007c0231200000026060f001a00ffffffff00001000
0000c0ffffffb7ffffff80230000f70600000b00000026060f000c004d61746854797065
0000a00109000000fa02000010000000000000002200040000002d010000050000001402
49000803050000001302f70608030500000014024900ff10050000001302f706ff100500
000014024900db14050000001302f706db140500000014024900da22050000001302f706
da2210000000fb0280fe0000000000009001000000020002001053796d626f6c00020400
00002d01010008000000320a0004362301000000d70008000000320a0004911301000000
3d0008000000320a00045b1101000000d70008000000320a0004aa08010000002d000800
0000320a00043703010000002d0008000000320a0004be01010000003d0017000000fb02
20ff0000000000009001000000cc0402001054696d6573204e657720526f6d616e204379
7200ccbf040000002d01020004000000f001010008000000320a94053022010000003200
08000000320a5403301d01000000320008000000320a1401301801000000340008000000
320a9405551001000000320008000000320a5403330c01000000320008000000320a5403
b30601000000330008000000320a1401a10b01000000330008000000320a140172060100
0000340017000000fb0280fe0000000000009001000000cc0402001054696d6573204e65
7720526f6d616e2043797200ccbf040000002d01010004000000f001020008000000320a
4006542101000000680008000000320a4006b020010000002f0008000000320a4006041f
02000000313008000000320a4006971b01000000300008000000320a4006851601000000
300008000000320a0004972001000000300008000000320a0004541c0100000068000800
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00045801010000003d0017000000fb0220ff0000000000009001000000cc040200105469
6d6573204e657720526f6d616e2043797200cc9b040000002d01020004000000f0010100
08000000320a94051d1101000000320008000000320a9405130601000000330008000000
320a54032f0c01000000320008000000320a1401a91101000000330008000000320a1401
f00601000000340017000000fb0280fe0000000000009001000000cc0402001054696d65
73204e657720526f6d616e2043797200cc9b040000002d01010004000000f00102000800
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4006b10e01000000320008000000320a4006760a01000000300008000000320a40063e05
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010000002f0008000000320ac001440f01000000360008000000320ac001760a01000000
300008000000320ac001140601000000680008000000320ac0017005010000002f000800
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0f000a00ffffffff01000000000010000000fb021000070000000000bc02000000cc0102
022253797374656d00cc040000002d01020004000000f00101000300000000000000

picscalex100010009000003c30300000300170000000000050000000902000000000400
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dd04f002050000001302630df002050000001402dd04ba02050000001302630dba020500
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a104050000001402dd04da09050000001302630dda09050000001402dd04a40905000000
1302630da409050000001402dd04730b050000001302630d730b050000001402dd043d0b
050000001302630d3d0b05000000140244007313050000001302fc117313050000001402
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8009c019010000003d0008000000320a8009f311010000003d0008000000320a80095a08
010000003d0008000000320a80097001010000003d000a00000026060f000a00ffffffff
01000000000010000000fb021000070000000000bc02000000cc0102022253797374656d
00cc040000002d01020004000000f00101000300000000000000

Aaaaeaii ianooiia niiaenoai iao?eoeue:

?-1 = 0, ?0 = 1,

A ?k = A Pk-1 – C ?k-2, k = 1, …, n,

R-1 = 0, ?0 = 1,

C Ri = A Ri-1 – B Ri-2 i = 1, …, n,

picscalex100010009000003a6010000020017000000000005000000090200000000040
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000000b0200000000050000000c024004200c1200000026060f001a00ffffffff0000100
00000c0ffffffb1ffffffe00b0000f10300000b00000026060f000c004d6174685479706
50000e00010000000fb02c0fd0000000000009001000000020002001053796d626f6c000
2040000002d01000008000000320ad9020c0401000000e50010000000fb0220ff0000000
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008000000320aef039604010000003d0008000000320ae002890a010000002b000800000
0320ad401cb08010000002d0008000000320ae002e206010000002d0008000000320ad40
17001010000002b0010000000fb0280fe0000000000009001000000020002001053796d6
26f6c0002040000002d01000004000000f001010008000000320a8002d302010000003d0
017000000fb0220ff0000000000009001000000cc0402001054696d6573204e657720526
f6d616e2043797200cc83040000002d01010004000000f001000008000000320afa00b50
401000000690008000000320aef030c0501000000310008000000320aef0346040100000
06c0008000000320ae002030b01000000310008000000320ae002350a010000006900080
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ae0029c06010000006a0008000000320ad401ea0101000000310008000000320ad4012a0
1010000006a0008000000320ae0020f0101000000690017000000fb0280fe00000000000
09001000000cc0402001054696d6573204e657720526f6d616e2043797200cc830400000
02d01000004000000f001010008000000320a8002820b010000002c0008000000320a800
2a80901000000660008000000320a8002c50701000000420008000000320a8002d005010
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00000000010000000fb021000070000000000bc02000000cc0102022253797374656d00c
c040000002d01010004000000f001000003000000000000000000 (1)
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301000000690008000000320aee03420401000000310008000000320aee037e030100000
06c0008000000320ae002620b01000000310008000000320ae0029a0a010000006c00080
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1010000006b0008000000320ae002080101000000690017000000fb0280fe00000000000
09001000000cc0402001054696d6573204e657720526f6d616e2043797200cca20400000
02d01000004000000f001010008000000320a8002e00b010000002c0008000000320a800
2f20801000000660008000000320a80020d0701000000430008000000320a80022205010
00000500008000000320a800240000100000076000a00000026060f000a00ffffffff010
00000000010000000fb021000070000000000bc02000000cc0102022253797374656d00c
c040000002d01010004000000f001000003000000000000000000 (2)

picscalex100010009000003ce010000020017000000000005000000090200000000040
0000002010100050000000102ffffff00040000002e01180005000000310201000000050
000000b0200000000050000000c02800220161200000026060f001a00ffffffff0000100
00000c0ffffffb7ffffffe0150000370200000b00000026060f000c004d6174685479706
50000700017000000fb0220ff0000000000009001000000cc0402001054696d6573204e6
57720526f6d616e2043797200cc83040000002d01000008000000320af4006d150100000
0310008000000320a0002ca1301000000710008000000320a0002b512010000006b00080
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af400610a01000000310008000000320a0002d60801000000310008000000320a00021c0
8010000006a0008000000320a0002f30601000000710008000000320af40035020100000
0310008000000320af4007701010000006a0008000000320a00025f01010000007100170
00000fb0280fe0000000000009001000000cc0402001054696d6573204e657720526f6d6
16e2043797200cc83040000002d01010004000000f001000008000000320aa0016614010
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008000000320aa0010d1001000000420008000000320aa001ad0c0100000048000800000
0320aa001df0a010000002c0008000000320aa0015a0901000000290008000000320aa00
1d50501000000520008000000320aa0014b0501000000280008000000320aa0014a04010
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1000000020002001053796d626f6c0002040000002d01000004000000f00101000800000
0320af400f314010000002d0008000000320a00024013010000002d0008000000320af40
0e709010000002d0008000000320a00026108010000002d0008000000320a00027a07010
000002d0008000000320af400bc01010000002b0010000000fb0280fe000000000000900
1000000020002001053796d626f6c0002040000002d01010004000000f00100000800000
0320aa001d60e010000003d0008000000320aa0011903010000003d000a00000026060f0
00a00ffffffff01000000000010000000fb021000070000000000bc02000000cc0102022
253797374656d00cc040000002d01000004000000f001010003000000000000ffffff
(3)

picscalex100010009000003360200000200170000000000050000000902000000000400
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00000b0200000000050000000c028002001d1200000026060f001a00ffffffff00001000
0000c0ffffffb7ffffffc01c0000370200000b00000026060f000c004d61746854797065
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7720526f6d616e2043797200ccaf040000002d01000008000000320aa001c51b01000000
420008000000320aa0012e1801000000520008000000320aa0019e160100000029000800
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a001391001000000430008000000320aa0010b0d01000000500008000000320aa0017b0b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 (4)

Oai?aia 1. Iaoae o – ?ica’ycie nenoaie ?iaiyiue I y = f, oiaei aeey
aoaeue-yeeo j, q, k o?e aaeoi?e yj, yq, yk, 0 j < q k n. y0 = yn+1 = 0, caaeiaieueiythoue niiaaiaeiioaiith: -C (Rq-j-1)-1 yj + Qkj+1 (q) yq - B (Pk-q)-1 yk+1 = (5) = C (Rq-j-1)-1 Vqq-j + B (Pk-q)-1 uq+1 k-q Iaoae iniothoue oeiei iiceoeaii /enea s i p oaei, ui (p + 1) s = n + 1, aea n – aei/iee ii?yaeie iao?eoei I. Oiaei aeey iiaoaeiae ?aaeoeiaaii? nenoaie aeaa?aii iiaeaene j* neiaeoth/ei /eiii: j*=0, s, 2s, …, (p + 1) s. Aaaaeaii iicia/aiiy xl = ysl, 0 l p + 1, aea x0 = y0 = 0, xp+1, = yn+1 = 0. Aeei?enoiaoth/e oai?aio 1 c j = (l –1)S, q = ls, k = (l + 1)S = 1, iaea?aeo?ii ?aaeoeiaaio nenoaio aiaeiinii iaaiaeiieo o1,…o?: - Gl xl-1 + Ql xl - Hl xl+1 = F1, l= 1, …, p. (6) Io?eiaio nenoaio (6) aoaeaii ?ica’ycoaaoe aei/ieie ioa?aoeieieie iaoiaeaie (iaoiae sseiai aai aei/iee iaoiae aa?oiuei? ?aeaenaoei?). ?icaeyiaii aei/iee ioa?aoeieiee iaoiae: picscalex1000100090000035e0200000300170000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c026002801e1200000026060f001a00ffffffff00001000 0000c0ffffffb4ffffff401e0000140200000b00000026060f000c004d61746854797065 0000500009000000fa02000010000000000000002200040000002d010000050000001402 540049160500000013025400f81717000000fb0280fe0000000000009001000000cc0402 001054696d6573204e657720526f6d616e2043797200cc7d040000002d01010009000000 320ac001b91c040000002e2e2e2c08000000320ac001f91b01000000310008000000320a c001bd1b010000002c0008000000320ac001031b01000000300008000000320ac0010418 010000002c0008000000320ac001451701000000700008000000320ac001a31601000000 2c0008000000320ac0013d16010000006c0008000000320ac0014014010000006c000800 0000320ac0017812010000002c0008000000320ac001681101000000460008000000320a c001dd0d01000000780008000000320ac001660c01000000480008000000320ac001db08 01000000780008000000320ac0015f0701000000470008000000320ac001bd0201000000 780008000000320ac0014d0101000000510017000000fb0220ff00000000000090010000 00cc0402001054696d6573204e657720526f6d616e2043797200cc7d040000002d010200 04000000f001010008000000320a2002fa1101000000310008000000320a1401940f0100 0000290008000000320a1401b40e01000000280008000000320a20027c0f010000003100 08000000320a2002b40e010000006c0008000000320a20028b0d010000006c0008000000 320a1401920a01000000290008000000320a1401b20901000000280008000000320a2002 760a01000000310008000000320a2002b209010000006c0008000000320a200289080100 00006c0008000000320a14015c0501000000290008000000320a1401f104010000003100 08000000320a1401940301000000280008000000320a20029403010000006c0008000000 320a20026b02010000006c0010000000fb0280fe00000000000090010000000200020010 53796d626f6c0002040000002d01010004000000f001020008000000320ac001d2190100 00003d0008000000320ac001a018010000006e0008000000320ac0010c15010000003d00 08000000320ac0014810010000002b0008000000320ac001460b010000002b0008000000 320ac0012e06010000003d0008000000320ac0013a00010000002d0010000000fb0220ff 0000000000009001000000020002001053796d626f6c0002040000002d01020004000000 f001010008000000320a14010d0f010000006e0008000000320a2002030f010000002b00 08000000320a14010b0a010000006e0008000000320a2002010a010000002d0008000000 320a14017804010000002b0008000000320a1401ed03010000006e000a00000026060f00 0a00ffffffff01000000000010000000fb021000070000000000bc02000000cc01020222 53797374656d00cc040000002d01010004000000f001020003000000000000000000 (7) aea Gl = C (RS-1)-1 , Hl = B (PS-1)-1, picscalex100010009000003b50100000300170000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c028002c0111200000026060f001a00ffffffff00001000 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02000000536c08000000320a20023a0501000000530008000000320a2002000401000000 6c0008000000320a2002e100010000006c0010000000fb0280fe00000000000090010000 00020002001053796d626f6c0002040000002d01010004000000f001020008000000320a c001450e010000003d0008000000320ac0018d06010000002b0008000000320ac001a501 010000003d0010000000fb0220ff0000000000009001000000020002001053796d626f6c 0002040000002d01020004000000f001010008000000320a1401ba0a010000002b000800 0000320a2002750a010000002d000a00000026060f000a00ffffffff0100000000001000 0000fb021000070000000000bc02000000cc0102022253797374656d00cc040000002d01 010004000000f00102000300000000000000 picscalex100010009000003d60200000200170000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c024004a0211200000026060f001a00ffffffff00001000 0000c0ffffffb1ffffff60210000f10300000b00000026060f000c004d61746854797065 0000e00010000000fb02c0fd0000000000009001000000020002001053796d626f6c0002 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Ioa?aoeieiee i?ioean (7) aeey nenoaie I y = f caiaa?oueny. Aeey ioeiiee aeai?eoii/ii? neeaaeiinoi ia/eneaiue i?e ?ica’ycoaaiii aeaii? caaea/i a § 1.4 ?icaeyaea?oueny aeinoaoiuei caaaeueiee ioeiii/iee ooieoeiiiae, ui aeicaiey? io?eiaoe ioeiieo ?iciiiaiioieo oa?aeoa?enoee ia/enethaaeueiiai i?ioeano: /enea a?eoiaoe/ieo aeie, /enea iae?iiia?aoeie, ia’?io iaiaoiaeii? iai’yoi oiui. I?e iaaiie iioa?i?aoaoei? oeueiai ooieoeiiiaeo iiaeeeaa oaeiae ioeiiea iiieeie cae?oaeaiiy. Ca aeiiiiiaith oeueiai ooieoeiiiaeo ooo io?eiaii ioeiiee noieeinoi ia/eneaiue a ia?oaaiio iaoiaei ?ica’ycoaaiiy caaea/i i?i caei ieanoeiee. Io?eiaii ?acoeueoaoe iiaeooue aooe aeei?enoaii aeey ioeiiee /ano ia/eneaiue a ?aaeueieo neooaoeiyo a caeaaeiinoi aiae oeio i?ioeani?a i aiae aa?iaioo i?ia?aie, ui aeei?enoiao?oueny aeey ia/eneaiue. sseui a?aieoey iaeanoi ia? neeaaeio oi?io, aeieea? i?iaeaia iiaoaeiae iioeiaeueii? a aeayeiio naini, o?eaiaoeyoei?. Oi/a caaea/a i?i caei ieanoeiee ca’ycaia c ?iaiyiiyi 4 ii?yaeeo, ?? iiaeia ?icaeyaeaoe ye nenoaio aeaio ?iaiyiue Ioanniia. Oiio i?iaeaio iiaoaeiae iioeiaeueii? o?eaiaoeyoei? neiae ae?iooaaoe, aeoiaey/e c iia?aoi?a Eaieana. Caniaai iiaoaeiae o?eaiaoeyoei? i?enay/aia aaaaoi ?iaio, aea noaei caeeoathoueny a aieueoinoi aeiaaeeia iaia/eneaieie. Aa?o/e aei oaaae, ui aiae oeeo noaeeo caeaaeeoue aeai? no?aoaai? o?eaiaoeyoei? iaeanoi, iaoiiaeaiinoue aiaeiiaiaeieo aeaaa?a?/ieo nenoai, ioeiiee oaeaeeinoi caiaeiinoi, noieeinoi i /enea iia?aoeie ia/enethaaeueiiai aeai?eoio, noa? c?icoiiei, ui oei noaei i?aaenoaaeythoue aeinoaoiie iioa?an. A iaoiaei neii/aieo aeaiaioia ia aoaii, iia’ycaiiio c o?eaiaoeyoei?th iaeanoi. Cia/io ?ieue aiaeia?a? nooiiiue ae?iaeaeaiinoi o?eeooieeia. Oiio aaaeeeai cia/aiiy eooia oeeo o?eeooieeia aaanoe a /enei ia?aiao?ia eeano nioie, ui ?icaeyaeathoueny. A ie?aieo aeiaaeeao (aeey iaeanoae c eooaie oa caaino?aiiyie) iaiaoiaeii ?icoe?thaaoe eean oaeeo nioie, caiiithth/e caaaeaii ia?aiao?e aneiioioeeith iiaaaeiiee eooia a caeaaeiinoi aiae e?ieo. A aeaai II ?icaeyiooi noaei noieeinoi a iao?eeao i?inoi?ia L2 oa W21 a eeanao o?eeooieo nioie c ?iaiiii?ii iaiaaeaieie eooaie, a oaeiae c eooaie, ui i?yiothoue aei ioey. A § 2.1 aeacaia ?ieue noaeeo noieeinoi i iiaoaeiaaiee ia?aaeiaoiiaethaa/. Aii ia? i?inoo no?oeoo?o (aei/ii-o?ueioaeiaaiiaeueia iao?eoey) i eiai iiaeia aeiiiii/ii iaa?oaoe. A § 2.2 i § 2.3 aea/aii eeane nioie c ?iaiiii?ii iaiaaeaieie eooaie a iao?eeao i?inoi?ia L2, W21 aiaeiiaiaeii. A oeeo aeiaaeeao iaaaaeaii aeinoaoiuei oi/ii /enaeueii ioeiiee noaeeo. A § 2.4 aeacaii aneiioioeee iiaaaeiiee a?aieoeue aiaeiiaiaeieo eaaae?aoe/ieo oi?i i?e ae?iaeaeaii o?eeooieeia. Noi?ioeth?ii aeayei c aeiaaaeaieo a aeaai II oaa?aeaeaiue. Iaoae - aeayea iaeanoue a R2, ?icaeyiaii i?aaeeueii o?eaiaoeueiaaiee aaaaoieooiee picscalex100010009000003bf0000000200170000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c020002a0041200000026060f001a00ffffffff00001000 0000c0ffffffa8ffffff60040000a80100000b00000026060f000c004d61746854797065 0000200010000000fb0280fe0000000000009001000000020002001053796d626f6c0002 040000002d01000008000000320ac001360301000000570008000000320ac001be010100 0000cc0008000000320ac001340001000000570017000000fb0280fe0000000000009001 000000cc0402001054696d6573204e657720526f6d616e2043797200cc83040000002d01 010004000000f001000008000000320ad6005e00010000007e000a00000026060f000a00 ffffffff01000000000010000000fb021000070000000000bc02000000cc010202225379 7374656d00cc040000002d01000004000000f00101000300000000000000. Ia?aioia?o?ii ani aa?oeie iaoi? o?eaiaoeyoei? iaoo?aeueieie /eneaie. Iaoae j = (xj, yj) – j-a aa?oeia o?eaiaoeyoei?, j = 1, …, N. Iiiaeeio o?eeooieeia, o yeeo j-a aa?oeia caaaeueia, iacaaii aa?eoeaio?e/iith ci?eith i iicia/eii Zj. Ia Zj caaea?ii eoneiai-eiiieio i iaia?a?aio ooieoeith j(), ui eiiieia ia eiaeiiio o?eeooieeo, ia?aoai?th?oueny a 1 a aa?oeiao j i a 0 a iioeo aa?oeiao. A iaeanoi picscalex100010009000003e60000000200170000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c02a002e0031200000026060f001a00ffffffff00001000 0000c0ffffffa8ffffffa0030000480200000b00000026060f000c004d61746854797065 0000700017000000fb0220ff0000000000009001000000cc0402001054696d6573204e65 7720526f6d616e2043797200cca1040000002d01000008000000320a2002730301000000 6a0017000000fb0280fe0000000000009001000000cc0402001054696d6573204e657720 526f6d616e2043797200cca1040000002d01010004000000f001000008000000320ac001 6d02010000005a0008000000320ac001a701010000002f0008000000320ad6005d000100 00007e0010000000fb0280fe0000000000009001000000020002001053796d626f6c0002 040000002d01000004000000f001010008000000320ac00134000100000057000a000000 26060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000cc 0102022253797374656d00cc040000002d01010004000000f00100000300000000000000 6a00 aoaeaii aaaaeaoe oeth ooieoeith ?iaiith 0. ?icaeyiaii eiiieio eiiaiiaoeith eo?aioianueeeo ooieoeie picscalex100010009000003ae010000020017000000000005000000090200000000040 0000002010100050000000102ffffff00040000002e01180005000000310201000000050 000000b0200000000050000000c026004a0111200000026060f001a00ffffffff0000100 00000c0ffffffb1ffffff60110000110400000b00000026060f000c004d6174685479706 50000f00017000000fb0280fe0000000000009001000000cc0402001054696d6573204e6 57720526f6d616e2043797200cc83040000002d01000008000000320a80020e110100000 02e0008000000320a8002930f01000000520008000000320a8002730a02000000292c080 00000320a8002a10901000000780008000000320a8002120901000000280008000000320 a8002790201000000290008000000320a8002a70101000000780008000000320a8002180 101000000280008000000320a8002400001000000750008000000320aea013a000100000 07e0017000000fb0220ff0000000000009001000000cc0402001054696d6573204e65772 0526f6d616e2043797200cc83040000002d01010004000000f001000008000000320afa0 02105010000006e0008000000320aee03960501000000310008000000320aee03dc04010 000006a0008000000320ad4019c1001000000310008000000320ae002b30d010000006a0 008000000320ae002b808010000006a0008000000320ae0026307010000006a001000000 0fb02c0fd0000000000009001000000020002001053796d626f6c0002040000002d01000 004000000f001010008000000320ad802900401000000e50010000000fb0220ff0000000 000009001000000020002001053796d626f6c0002040000002d01010004000000f001000 008000000320aee032105010000003d0010000000fb0280fe00000000000090010000000 20002001053796d626f6c0002040000002d01000004000000f001010008000000320a800 2430e01000000ce0008000000320a8002bf0c01000000750008000000320a80029f07010 00000770008000000320a80026f0601000000750008000000320a80025c03010000003d0 00a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc0 2000000cc0102022253797374656d00cc040000002d01010004000000f00100000300000 0000000000000 I/aaeaeii picscalex100010009000003ea0100000300170000000000050000000902000000000400 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4002120a01000000690008000000320a4002b80802000000696a08000000320af800e901 01000000320008000000320a7802170401000000290008000000320af001740301000000 7e0008000000320a7802030301000000280008000000320a7802e901010000004c001700 0000fb0260ff0000000000009001000000cc0402001054696d6573204e657720526f6d61 6e2043797200ccc5040000002d01010004000000f001020008000000320ab00286020100 0000320010000000fb02c0fd0000000000009001000000020002001053796d626f6c0002 040000002d01020004000000f001010008000000320a38021d0601000000e50010000000 fb0280fe0000000000009001000000020002001053796d626f6c0002040000002d010100 04000000f001020008000000320ae001620a01000000750008000000320ae00139090100 0000750008000000320ae001e904010000003d0010000000fb0220ff0000000000009001 000000020002001053796d626f6c0002040000002d01020004000000f001010008000000 320a78025c030100000057000a00000026060f000a00ffffffff01000000000010000000 fb021000070000000000bc02000000cc0102022253797374656d00cc040000002d010100 04000000f001020003000000000000000000 aea picscalex1000100090000034e0100000200170000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c02c003c0081200000026060f001a00ffffffff00001000 0000c0ffffffbfffffff800800007f0300000b00000026060f000c004d61746854797065 0000000117000000fb0280fe0000000000009001000000cc0402001054696d6573204e65 7720526f6d616e2043797200cc6b040000002d01000008000000320ac001320801000000 2e0008000000320ac001b20602000000647808000000320ac00134000100000061001700 0000fb0220ff0000000000009001000000cc0402001054696d6573204e657720526f6d61 6e2043797200cc6b040000002d01010004000000f001000008000000320a200276060100 00006a0008000000320ae7023d03010000007e0008000000320a20021305010000006900 08000000320a2002f60002000000696a10000000fb0280fe000000000000900100000002 0002001053796d626f6c0002040000002d01000004000000f001010008000000320ac001 5d0501000000770008000000320ac001150401000000770008000000320ac001ef010100 00003d0010000000fb02c0fd0000000000009001000000020002001053796d626f6c0002 040000002d01010004000000f001000008000000320a4a022e0301000000f20010000000 fb0220ff0000000000009001000000020002001053796d626f6c0002040000002d010000 04000000f001010008000000320a6f0325030100000057000a00000026060f000a00ffff ffff01000000000010000000fb021000070000000000bc02000000cc0102022253797374 656d00cc040000002d01010004000000f001000003000000000000000000 Eaia 1. Ni?aaaaeeeai ia?iaiinoi picscalex100010009000003de0100000200170000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c02c00360181200000026060f001a00ffffffff00001000 0000c0ffffffbfffffff201800007f0300000b00000026060f000c004d61746854797065 0000000117000000fb0280fe0000000000009001000000cc0402001054696d6573204e65 7720526f6d616e2043797200cc6b040000002d01000008000000320ac001c01701000000 2c0008000000320ac001e313020000006d5a08000000320ac00147110100000038000800 0000320ac0019a10010000002f0008000000320ac001b00f01000000310008000000320a c001b70c02000000647808000000320ac0015f0b01000000750008000000320a2b01590b 010000007e0008000000320ac001f004020000006d5a08000000320ac0018f0102000000 313608000000320ac001fa00010000002f0008000000320ac00110000100000031001700 0000fb0220ff0000000000009001000000cc0402001054696d6573204e657720526f6d61 6e2043797200cc6b040000002d01010004000000f001000008000000320a2e03c2120100 00006a0008000000320a1401311701000000320008000000320a20024517010000006a00 08000000320a20020f16010000006a0008000000320ae7027b0a010000007e0008000000 320a1401400c01000000320008000000320a2e03cf03010000006a0008000000320a1401 3e0801000000320008000000320a20025208010000006a0008000000320a20021c070100 00006a0010000000fb02c0fd0000000000009001000000020002001053796d626f6c0002 040000002d01000004000000f001010008000000320a1802041201000000e50008000000 320a4a026c0a01000000f20008000000320a1802110301000000e50010000000fb0280fe 0000000000009001000000020002001053796d626f6c0002040000002d01010004000000 f001000008000000320ac001511601000000750008000000320ac001a30e01000000a300 08000000320ac0012d0901000000a30008000000320ac0015e0701000000750010000000 fb0220ff0000000000009001000000020002001053796d626f6c0002040000002d010000 04000000f001010008000000320a6f03630a0100000057000a00000026060f000a00ffff ffff01000000000010000000fb021000070000000000bc02000000cc0102022253797374 656d00cc040000002d01010004000000f001000003000000000000ffffff (8) aea mZj – ieiua aaaaoieooieea Zj. I?aaa ioeiiea a ia?iaiinoi (8) ? oi/iith. Aeey eiaeiiai o?eeooieea o?eaiaoeyoei? aaaaeaii iicia/aiiy: ST – ieiua o?eeooieeo, h1 – aenioa, i?iaaaeaia c i-i? aa?oeie ia i?ioeeaaeio noi?iio, n1 – iaeeie/ia ii?iaeue aei noi?iie, i?ioeeaaeiie aa?oeii i, ni = 1. zi – caoaeaiiy ooieoei? i ia o?eeooiee O, picscalex1000100090000034f020000020017000000000005000000090200000000040 0000002010100050000000102ffffff00040000002e01180005000000310201000000050 000000b0200000000050000000c02a00380231200000026060f001a00ffffffff0000100 00000c0ffffffc0ffffff40230000600300000b00000026060f000c004d6174685479706 50000f00010000000fb02c0fd0000000000009001000000020002001053796d626f6c000 2040000002d01000008000000320a4a02f30402000000f2f210000000fb0280fe0000000 000009001000000020002001053796d626f6c0002040000002d01010004000000f001000 008000000320ac0015a1f010000003d0008000000320ac0011a1801000000b6000800000 0320ac001691501000000b60008000000320ac0018b1301000000b60008000000320ac00 1e71001000000b60008000000320ac001ca0f010000002b0008000000320ac001f90d010 00000b60008000000320ac001480b01000000b60008000000320ac0015e0901000000b60 008000000320ac001ba0601000000b60008000000320ac001b103010000003d001700000 0fb0220ff0000000000009001000000cc0402001054696d6573204e657720526f6d616e2 043797200cc7d040000002d01000004000000f001010008000000320a600341050100000 0540008000000320a2002f516010000006a0008000000320a20025812010000006900080 00000320a2002d40c010000006a0008000000320a20022b0801000000690008000000320 a20028002010000006a0008000000320a20025d0101000000690017000000fb0280fe000 0000000009001000000cc0402001054696d6573204e657720526f6d616e2043797200cc7 d040000002d01010004000000f001000008000000320ac00188220100000032000800000 0320ac0012222010000002c0008000000320ac001862101000000310008000000320ac00 14a21010000002c0008000000320ac001902001000000300008000000320ac0019c1e010 000006a0008000000320ac001f21d010000002c0008000000320ac001861d01000000690 008000000320ac0010c1d010000002c0009000000320ac0010c1a0400000064786479080 00000320ac0019a19010000005d0008000000320ac001d41801000000790008000000320 ac0017c17010000002f0008000000320ac0012316010000007a0008000000320ac001451 401000000790008000000320ac001ed12010000002f0008000000320ac001a1110100000 07a0008000000320ac001b30e01000000780008000000320ac0015b0d010000002f00080 00000320ac001020c010000007a0008000000320ac001180a01000000780008000000320 ac001c008010000002f0008000000320ac0017407010000007a0008000000320ac001360 6010000005b0008000000320ac001db02010000005d0008000000320ac001ae010100000 07a0008000000320ac001a600010000007a0008000000320ac0011c00010000005b000a0 0000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000 000cc0102022253797374656d00cc040000002d01000004000000f001010003000000000 000ff (9) I?e aaaaeaieo aeua iicia/aiiyo iioaa?aee (9) ia/eneththoueny ca oi?ioeaie [zi, zi] = (ST cos (ni, nj)) / (hi, hj) (10) iicia/eii /a?ac 0 nioeiao ooieoeith, ui ?iaia 1 a onio ?icaeyaeoaaieo aoceao, 0(j) = 1, j=1, …, N. Iaoae V0 – iaeiiaeii?iee iiaei?inoi? nioeiaeo ooieoeie – noaeeo, V0 = C0: CR1. Eaia 2. Aeey nioeiaeo ooieoeie , ui ? i?oiaiiaeueii iiaei?inoi?o V0, ni?aaaaeeeai ia?iaiinoi picscalex100010009000003110200000300170000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c02800460121200000026060f001a00ffffffff00001000 0000c0ffffffb1ffffff20120000310400000b00000026060f000c004d61746854797065 0000000109000000fa02000010000000000000002200040000002d010000050000001402 3301400005000000130233011701050000001402ba00b80d050000001302ba00780e0500 00001402ea00b80d050000001302ea00780e17000000fb0280fe00000000000090010000 00cc0402001054696d6573204e657720526f6d616e2043797200cc7d040000002d010100 08000000320a8002cf11010000002e0008000000320a80028f0a02000000647808000000 320a80026e0901000000290008000000320a8002960801000000750008000000320aea01 9008010000007e0008000000320a8002000701000000280017000000fb0220ff00000000 00009001000000cc0402001054696d6573204e657720526f6d616e2043797200cc7d0400 00002d01020004000000f001010008000000320afa000a0f010000004e0008000000320a ee03930f01000000310008000000320aee03d90e010000006a0008000000320ad4014c11 01000000320008000000320ae0026011010000006a0008000000320afa00a90101000000 4e0008000000320aee03320201000000310008000000320aee037801010000006a000800 0000320aa7032806010000007e0008000000320ad401fa0901000000320008000000320a d401eb0301000000320008000000320ae002ff03010000006a0010000000fb02c0fd0000 000000009001000000020002001053796d626f6c0002040000002d01010004000000f001 020008000000320ad8028d0e01000000e50008000000320ad8022c0101000000e5000800 0000320a0a03190601000000f20010000000fb0220ff0000000000009001000000020002 001053796d626f6c0002040000002d01020004000000f001010008000000320aee031e0f 010000003d0008000000320aee03bd01010000003d0008000000320a2f04100601000000 570010000000fb0280fe0000000000009001000000020002001053796d626f6c00020400 00002d01010004000000f001020008000000320a80026c1001000000750008000000320a 8002ac0d010000006c0008000000320a80027b0c01000000a30008000000320a80027d07 01000000d10008000000320a8002da0401000000a30008000000320a80020b0301000000 750008000000320a80023f00010000006c000a00000026060f000a00ffffffff01000000 000010000000fb021000070000000000bc02000000cc0102022253797374656d00cc0400 00002d01020004000000f00101000300000000000000 (11) aea picscalex100010009000003b3010000030017000000000005000000090200000000040 0000002010100050000000102ffffff00040000002e01180005000000310201000000050 000000b0200000000050000000c026003a00f1200000026060f001a00ffffffff0000100 00000c0ffffffaeffffff600f00000e0300000b00000026060f000c004d6174685479706 50000a00009000000fa02000010000000000000002200040000002d01000005000000140 2d3004000050000001302d30017010500000014025a0094080500000013025a005409050 0000014028a0094080500000013028a00540917000000fb0280fe0000000000009001000 000cc0402001054696d6573204e657720526f6d616e2043797200ccae040000002d01010 008000000320a2002060f010000002e0009000000320a2002fd0a030000006d696e00080 00000320a2002c006010000002c0009000000320a2002c002030000006d696e001700000 0fb0220ff0000000000009001000000cc0402001054696d6573204e657720526f6d616e2 043797200ccae040000002d01020004000000f001010008000000320a74014f0e0100000 0540008000000320a8002830e01000000320008000000320a8702900c010000007e00080 00000320a0f032d0b01000000540008000000320a7401120601000000540008000000320 a80022d0601000000310008000000320a87025304010000007e0008000000320a0f03f00 201000000540010000000fb0280fe0000000000009001000000020002001053796d626f6 c0002040000002d01010004000000f001020008000000320a20029c0d010000006c00080 00000320a2002c609010000003d0008000000320a20028808010000006c0008000000320 a20025f05010000006c0008000000320a20028901010000003d0008000000320a20023f0 0010000006c0010000000fb0220ff0000000000009001000000020002001053796d626f6 c0002040000002d01020004000000f001010008000000320a0f03780c010000005700080 00000320a0f03c80b01000000cc0008000000320a0f033b0401000000570008000000320 a0f038b0301000000cc000a00000026060f000a00ffffffff01000000000010000000fb0 21000070000000000bc02000000cc0102022253797374656d00cc040000002d010100040 00000f00102000300000000000000 (12) picscalex100010009000003c50200000300170000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c02000360291200000026060f001a00ffffffff00001000 0000c0ffffffaeffffff20290000ae0200000b00000026060f000c004d61746854797065 0000700009000000fa02000008000000000000002200040000002d010000050000001402 5200aa28050000001302a801b62717000000fb0280fe0000000000009001000000cc0402 001054696d6573204e657720526f6d616e2043797200cca6040000002d01010008000000 320a2002cd28010000002e0008000000320a2002212701000000290008000000320a2002 6d2601000000330008000000320a2002f32301000000290008000000320a200281220100 0000680008000000320a2002dd21010000002f0008000000320a20020f21010000003100 08000000320a20025f1e01000000680008000000320a2002bb1d010000002f0008000000 320a2002ed1c01000000310008000000320a20023d1a01000000680008000000320a2002 9919010000002f0008000000320a2002cb1801000000310008000000320a20026b180100 0000280008000000320a2002e31601000000530008000000320a20026b16010000002800 08000000320a2002ab1501000000320008000000320a20020715010000002f0008000000 320a2002391401000000310008000000320a2002771201000000290008000000320a2002 051101000000680008000000320a20026110010000002f0008000000320a2002930f0100 0000310008000000320a2002e30c01000000680008000000320a20023f0c010000002f00 08000000320a2002710b01000000310008000000320a2002c10801000000680008000000 320a20021d08010000002f0008000000320a20024f0701000000310008000000320a2002 ef0601000000280008000000320a20022f0601000000320008000000320a20028b050100 00002f0008000000320a2002d70301000000530017000000fb0220ff0000000000009001 000000cc0402001054696d6573204e657720526f6d616e2043797200cca6040000002d01 020004000000f001010008000000320aa801422801000000320008000000320afd00c727 01000000310008000000320a7401812401000000320008000000320a74015d2301000000 320008000000320a80025d2301000000320008000000320a74013b1f0100000032000800 0000320a8002221f01000000310008000000320a7401191b01000000320008000000320a 8002151b01000000300008000000320a8002b51701000000540008000000320a7401e111 01000000320008000000320a8002e11101000000320008000000320a7401bf0d01000000 320008000000320a8002a60d01000000310008000000320a74019d090100000032000800 0000320a8002990901000000300008000000320a8002a90401000000540008000000320a 7401e80001000000540008000000320a8002c40101000000310008000000320a80029501 010000002c0008000000320a80021c0101000000320010000000fb0280fe000000000000 9001000000020002001053796d626f6c0002040000002d01010004000000f00102000800 0000320a20025c25010000002d0008000000320a20021620010000002b0008000000320a 2002f41b010000002b0008000000320a2002401301000000b10008000000320a20029a0e 010000002b0008000000320a2002780a010000002b0008000000320a2002ad0201000000 3d0008000000320a20023400010000006c000a00000026060f000a00ffffffff01000000 000010000000fb021000070000000000bc02000000cc0102022253797374656d00cc0400 00002d01020004000000f00101000300000000000000 (13) Eaia 3. Aeey aeiaieueieo nioeiaeo ooieoeie ni?aaaaeeeai ia?iaiinoi picscalex100010009000003910200000300170000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c022004e0201200000026060f001a00ffffffff00001000 0000c0ffffffaeffffffa0200000ce0300000b00000026060f000c004d61746854797065 0000000109000000fa02000010000000000000002200040000002d010000050000001402 d3001003050000001302d300e7030500000014025a003d180500000013025a00fd180500 000014028a003d180500000013028a00fd1817000000fb0280fe00000000000090010000 00cc0402001054696d6573204e657720526f6d616e2043797200cc7d040000002d010100 08000000320a20025e20010000002e0008000000320a2002921f02000000292c08000000 320a2002eb1a01000000280008000000320a20027e1701000000330008000000320a2002 ca16010000002f0008000000320a2002c21501000000340008000000320a20029f120200 0000647808000000320a20027e1101000000290008000000320a2002a610010000007500 08000000320a8a01a010010000007e0008000000320a2002100f01000000280008000000 320a20020d0c01000000290008000000320a2002660701000000280008000000320a2002 440201000000390008000000320a20029001010000002f0008000000320a2002fa000100 00002e0008000000320a20023a0001000000340017000000fb0220ff0000000000009001 000000cc0402001054696d6573204e657720526f6d616e2043797200cc7d040000002d01 020004000000f001010008000000320a8e03161a010000006a0008000000320a8e03ba19 010000002c0008000000320a8e036e1901000000690008000000320a7401fd1e01000000 320008000000320a8002111f010000006a0008000000320a8002681c010000006a000800 0000320a8e039106010000006a0008000000320a8e033506010000002c0008000000320a 8e03e90501000000690008000000320a4703380e010000007e0008000000320a74010a12 01000000320008000000320a7401780b01000000320008000000320a80028c0b01000000 6a0008000000320a8002e308010000006a0010000000fb02c0fd00000000000090010000 00020002001053796d626f6c0002040000002d01010004000000f001020008000000320a 7802121901000000e50008000000320a78028d0501000000e50008000000320aaa02290e 01000000f20010000000fb0280fe0000000000009001000000020002001053796d626f6c 0002040000002d01020004000000f001010008000000320a20021d1e0100000075000800 0000320a2002041d010000002d0008000000320a2002741b01000000750008000000320a 20023118010000006c0008000000320a20028b1401000000a30008000000320a20028d0f 01000000d10008000000320a2002ea0c01000000a30008000000320a2002980a01000000 750008000000320a20027f09010000002d0008000000320a2002ef070100000075000800 0000320a20025904010000003d0008000000320a20020f03010000006c0010000000fb02 20ff0000000000009001000000020002001053796d626f6c0002040000002d0101000400 0000f001020008000000320acf03200e0100000057000a00000026060f000a00ffffffff 01000000000010000000fb021000070000000000bc02000000cc0102022253797374656d 00cc040000002d01020004000000f00101000300000000000072 (14) aea picscalex100010009000003e20000000300170000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c02c002e0021200000026060f001a00ffffffff00001000 0000c0ffffffb2ffffffa0020000720200000b00000026060f000c004d61746854797065 0000500009000000fa02000010000000000000002200040000002d010000050000001402 b3004000050000001302b30000010500000014025600d601050000001302560096020500 000014028600d6010500000013028600960210000000fb0280fe00000000000090010000 00020002001053796d626f6c0002040000002d01010008000000320a2002ca0101000000 6c0008000000320a20023400010000006c0017000000fb0280fe00000000000090010000 00cc0402001054696d6573204e657720526f6d616e2043797200cc9f040000002d010200 04000000f001010008000000320a20020c01010000002c000a00000026060f000a00ffff ffff01000000000010000000fb021000070000000000bc02000000cc0102022253797374 656d00cc040000002d01010004000000f001020003000000000000006d00 - oi ae noaei, ui i a eaii 2, a noia picscalex100010009000003bf0000000200170000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c028003e0021200000026060f001a00ffffffff00001000 0000c0ffffffaeffffffa00200002e0300000b00000026060f000c004d61746854797065 0000f00010000000fb02c0fd0000000000009001000000020002001053796d626f6c0002 040000002d01000008000000320af901370001000000e50017000000fb0220ff00000000 00009001000000cc0402001054696d6573204e657720526f6d616e2043797200cc830400 00002d01010004000000f001000008000000320a0f033c01010000006a0008000000320a 0f03df00010000002c0008000000320a0f0393000100000069000a00000026060f000a00 ffffffff01000000000010000000fb021000070000000000bc02000000cc010202225379 7374656d00cc040000002d01000004000000f00101000300000000000000icia/a? iiaenoiiaoaaiiy ii anix ?aa?ax li,j o?eaiaoeyoei? c eiioeyie o aa?oeiao i, j. Eaia 4. Iaoae picscalex100010009000003f60000000200170000000000050000000902000000000400 000002010100050000000102ffffff00040000002e011800050000003102010000000500 00000b0200000000050000000c02400260041200000026060f001a00ffffffff00001000 0000c0ffffffb7ffffff20040000f70100000b00000026060f000c004d61746854797065 0000500017000000fb0220ff0000000000009001000000cc0402001054696d6573204e65 7720526f6d616e2043797200cc83040000002d01000008000000320af4007a0301000000 d20008000000320a0002ae0301000000320008000000320af400e80001000000d2000800 0000320a0002030101000000310017000000fb0280fe0000000000009001000000cc0402 001054696d6573204e657720526f6d616e2043797200cc83040000002d01010004000000 f001000008000000320aa001f60101000000b30010000000fb0280fe0000000000009001 000000020002001053796d626f6c0002040000002d01000004000000f001010008000000 320aa001c602010000006c0008000000320aa0013400010000006c000a00000026060f00 0a00ffffffff01000000000010000000fb021000070000000000bc02000000cc01020222 53797374656d00cc040000002d01010004000000f001000003000000000000000000 aecia/athoueny oi?ioeith (13), , , - eooe o?eeooieea O. 1) sseui 0, 0, 0, 0 + 0 = 0 > 0 0 > 0, oi aeey aeanieo /enae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?aaaaeeeai aneiioioe/ii i?aaenoaaeaiiy:
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 3/4 + 0(3), 2O = 1/ + 0(). (15)

2) sseui = c, 0, c = const > 0, , oi aeey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?ii aneiioioe/ii i?aaenoaaeaiiy:
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 3/4 n(n + 1)/(n2 + n+1) + 0(3),

(16)
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 (n2 + n + 1)/(n(n + 1)) 1/ + 0().

A aeaai III cai?iiiiiaaii ?icii niiniae iiaoaeiae o?eaiaoeyoei? a
caeaaeiinoi aiae aeaaeeinoi a?aieoei. Ia iiaenoaai ?acoeueoaoia ae?oai?
aeaae ooo io?eiaii aoaeoeaii ioeiiee noaeeo noieeinoi aeey caaaeaieo
niiniaia o?eaiaoeyoei?.

Ia ieiueii R2 aaiaeeoueny o?eaiaoeueiaaia eaaae?aoia aai i?yiieooia
nioea i aoaeo?oueny o?eaiaoeyoeiy a i?ea?aie/iie nioci a caeaaeiinoi
aiae aeaaeeinoi a?aieoei. § 3.1 i § 3.2 aeaia aoaeoeaia ioeiiea cieco
noaeeo i?e cai?iiiiiaaiiio niiniai o?eaiaoeyoei? a caeaaeiinoi aiae
oe?eie aea?aii? i?ea?aie/ii? nioae aeey aeai/i
iaia?a?aii-aeeoa?aioeieiaaii? a?aieoei i aiae eooo , ui iinoeoue
eoneiai-aeaaeeo a?aieoeth. *enaeueii ?acoeueoaoe iaaaaeaii a oaaeeoeyo
1-12 aeiaeaoeo 2. A § 3.3 i?iiiiothoueny niiniae iiaoaeiae o?eaiaoeyoei?
aeey eoneiai-aeaaeei? a?aieoei c aioo?ioiiie ioeueiaeie eooaie
noaiaiaaeo ii?yaeeia. A § 3.4 cai?iiiiiaaiee aeai?eoi iiaoaeiae —
o?eaiaoeyoei?, a aeayeiio naini aeecueei? aei iioeiaeueii?.

Icia/aiiy. Na?aae anieyeeo o?eaiaoeyoeie, iiaoaeiaaieo aeey caaeaii?
iaeanoi, -o?eaiaoeyoei?th iacaaii oaeo, aeey yei? aiaeiioaiiy max1,2/
min1,2 ? iiiiiaeueiei.

Noi?ioeth?ii aeayei c aeiaaaeaieo a aeaai III oaa?aeaeaiue.

sse i ?aiioa, iaoae V0 – iaeiiii?iee iiaei?inoi? nioeiaeo
ooieoeie-noaeeo,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 —
i?aaeeueii o?eaiaoeueiaaiee aaaaoieooiee.

Oai?aia 3. (Aeiaaeie aeai/i iaia?a?aii aeeoa?aioeieiaaii? a?aieoei).
Iaoae A N2. Oiaei aeey nioeiaeo ooieoeie , i?oiaiiaeueieo aei
iiaei?inoi?o V0, ni?aaaaeeeai ia?iaiinoi.
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 (17)

aea (i), i = 1, …, 8 – noaei noieeinoi, ui ia/eneai? a aeena?oaoei?
(aeea. ae. III, § 3.1), a oaeiae a oaaeeoeyo 1-4 aeiaeaoeo ??.

Oai?aia 4. (Eoneiai-aeaaeea a?aieoey c iaioeueiaei eooii).

Iaoae A iaeaaeeoue aei eoneiai-aeaaeei? a?aieoei c iaioeueiaei eooii,
oiaei aeey nioeiaeo ooieoeie , ui i?oiaiiaeueii iiaei?inoi?o V0,
ni?aaaaeeeai ia?iaiinoi
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 (18)

aea (i)1,2, i = 1, …., 8 – noaei noieeinoi, ui iaaaaeaii a aeaai III, §
3.2, a oaeiae a oaaeeoeyo 5-12 aeiaeaoeo 2. Aeaei ?icaeyaea?oueny
a?aieoey c ioeueiaei eooii – ci nooiaiaaeie caaino?aiiyie aeaeyaeo y =
oa, a > 1.

Eaia 5. Oaeaeeinoue ciaioaiiy eooia ii?iaeueii? o?eaiaoeyoei? a ieiei
ioeueiaiai eooa nooiaiy a oa?aeoa?eco?oueny aneiioioeeith

= n h 1-1/ a + …, (19)

aea

2 a n01-1/ a n 2 a n11-1/ a ,

n0, n1 — aeayei noaei.

Eaia 6. Iaoae A – eoneiai-aeaaeea a?aieoey c ioeueiaei eooii, oiaei
ni?aaaaeeeai ia?iaiinoi
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1(h) = 3/4 n h 1-1/ a + 0( h 1-1/ a),

2(h) = 1/c h –(1-1/ a) — 3/4 n h 1-1/ a + 0( h 1-1/ a).

Oai?aia 5. (Eoneiai-aeaaeea a?aieoey c ioeueiaei eooii). Aeey nioeiaeo
ooieoeie , ui i?oiaiiaeueii iiaei?inoi?o V0, ni?aaaaeeeai ia?iaiinoi
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 (20)

Aeiaeaoie ? i?enay/aiee aeineiaeaeaiith neiaeia eoneiai-eiieieo nioeiaeo
ooieoeie i ?o i?iaeiaaeaiue, caaeaiee ia o?eaiaoeyoeiyo
eoneiai-aeaaeeeo iaeanoae. ?yae aiaeiieo oai?ai i?i i?iaeiaaeaiiy
nioeiaeo eoneiai-iieiiiiiaeueieo ooieoeie anoaiiaeaii a ca’yceo c
iiaoaeiaith i aeineiaeaeaiiyi ioa?aoeieieo i?ioeania iaoiaeo neii/aieo
aeaiaioia. Iaoa aeaiiai aeiaeaoeo – ni?inoeoe aeiaaaeaiiy oeeo oai?ai i
yaii ia/eneeoe noaei, ui cono?i/athoueny oai.

Aeiaeaoie ?? iinoeoue oaaeeoei noaeeo noieeinoi, io?eiaieo a ?iaioi, oa
iaethiee. Iaaiai?aiiy /enaeueieo ?acoeueoaoia i no?oeoo?e oaaeeoeue
iinoeoueny a § 3.1, § 3.2 aeaae III.

Aeiaeaoie ??? iinoeoue aaaeaiiy aeieniinoi aeanieo /enae eaaae?aoe/ieo
oi?i, ui cono?i/athoueny a aeaai III.

INIIAII ?ACOEUeOAOE

A aeena?oaoei? io?eiaii ianooiii iniiaii ?acoeueoaoe:

— aoaeoeaia aeai?eoii/ia ?aaeicaoeiy noai iaoiaeo neii/aieo aeaiaioia
aeey caaea/ oai?i? i?oaeiinoi i ia?oaaiai iaoiaeo;

— iiaoaeiaa ia?aaeiaoiiaethaa/a a ioa?aoeieieo iaoiaeao aeey
ciaoiaeaeaiiy ?ica’yceo nenoai neii/aiiaeaiaoieo ?iaiyiue, ui
ai?ieneiothoue caaea/o Aei?ioea aeey ?iaiyiiy Ioanniia a iaeanoyo
neeaaeii? oi?ie;

— aoaeoeaii ioeiiee noaeeo noieeinoi eo?aioianueeeo ai?ieneiaoeie a
iao?eeao i?inoi?ia L2, W21;

— aneiioioe/ia i?aaenoaaeaiiy aeacaieo noaeeo noieeinoi o aeiaaeeo
ae?iaeaeaiiy o?eeooieeia;

— iaoiae iiaoaeiae -o?eaiaoeyoei?, a iaaiiio naini aeecueei? aei
iioeiaeueii?, aeey iaeanoae c a?aieoeath, ui iaeaaeeoue aei ?icieo
eeania aeaaeeinoi (iaia?a?aii aeeoa?aioeieiaaia, eoneiai-aeaaeea
a?aieoey c iaioeueiaeie eooaie, a oaeiae eoneiai-aeaaeea a?aieoey c
aioo?ioiiie ioeueiaeie eooaie nooiaiaaeo ii?yaeeia);

— aaaeaiiy oai?aie i?i i?iaeiaaeaiiy eoneiai-eiiieieo nioeiaeo ooieoeie.

INIIAII IOAEIEAOeI? II OAII AeENA?OAOeI?:

1. Na?iaeiaa A.A. Aeai?eoie/aneea aniaeou iaeioi?uo eiia/ii-yeaiaioiuo
iaoiaeia. – E., 1997. – 155 n.

2. Na?iaeiaa A.A. Ia?oaaue iaoiae aeey naoi/iie caaea/e ecaeaa ieanoeiee
a i?yiioaieueieea // Aanoiee NIaAO, na?ey iaoaiaoeea, iaoaieea,
ano?iiiey. Naieo-Iaoa?ao?a: 1992 , aeai. AEIEOE, ? 32343-A92.

3. Na?iaeiaa A.A. Oai?aia i i?iaeieaeaiee naoi/iuo ooieoeee // Aanoiee
NIaAO, na?ey iaoaiaoeea, iaoaieea, ano?iiiiey. Naieo-Iaoa?ao?a: 1994,
aeai. AEIEOE, ? 446-A94.

4. Na?iaeiaa A.A. I o?oaeiaieinoe au/eneaiee i?e i?eaeeaeaiiii ?aoaiee
caaea/e ia ecaeaa ieanoeiee // Aanoiee NIaAO, na?ey iaoaiaoeea,
iaoaieea, ano?iiiiey. Naieo-Iaoa?ao?a: 1994, aeai. AEIEOE, ? 1069-A9.

5. Iaea?ia A.E., Na?iaeiaa A.A. Eiinoaiou onoie/eainoe aii?ieneiaoeee
Eo?aioa // Au/eneeoaeueiay e i?eeeaaeiay iaoaiaoeea. – 1998. – N 82. –
N. 168-192.

6. Iaea?ia A.E., Na?iaeiaa A.I. Ioe?iee noaeeo no?eeino? aiao?eeao
i?inoi??a L2, W12 // A?niee Aea?aeaaiiai oi?aa?neoaoo “Euea?anueea
iie?oaoi?ea”, 1998. – N 337. – N. 350-353.

Na?iaeiaa A.I. Aeai?eoi?/i? aniaeoe iaoiaeo ne?i/aiieo aeaiaio?a. —
?oeiien.

Aeena?oaoe?y ia caeiaoooy a/aiiai nooiaiy eaiaeeaeaoa
o?ceei-iaoaiaoe/ieo iaoe ca niaoe?aeuei?noth 01.01.07 – ia/enethaaeueia
iaoaiaoeea. – Ee?anueeee oi?aa?neoao ?iai? Oa?ana Oaa/aiea, Ee?a, 1998.

Caoeua?oueny aeai?eoi?/ia ?aae?caoe?y noai iaoiaeo ne?i/aiieo aeaiaio?a
aeey caaea/ iaoaiaoe/ii? o?ceee, ca’ycaieo c iia?aoi?ii Eaieana.
Iiaoaeiaaiee ia?aaeiaoiiaethaa/ a ?oa?aoe?eieo iaoiaeao aeey
ciaoiaeaeaiiy ??oaiiy nenoai ne?i/aiii-aeaiaioieo ??aiyiue,
ai?ieneioth/eo caaea/o Aee?eoea aeey ??aiyiiy Ioanniia a iaeanoyo
neeaaeii? oi?ie. Io?eiai? aoaeoeai? ioe?iee eiinoaio o?eaaeino?
eo?aioianueeeo ai?ieneiaoe?e a iao?eeao i?inoi??a L1, L12, a oaeiae
aneiioioe/ia iiaeaiiy icia/aieo eiinoaio o?eaaeino? o aeiaaeeo
ae?iaeaeaiiy o?eeooiee?a. Iiaoaeiaaia aeecueea aei iioeiaeueii?
o?eaiaoeyoe?? (-o?eaiaoeyoe?y) aeey iaeanoae c ei?aeiiii, ui iaeaaeeoue
aei ??cieo eean?a aeaaeeino?. Aeiaaaeaia oai?aia i?i i?iaeiaaeaiiy
eoneiai-e?i?eieo n?oeiaeo ooieoe?e.

Eeth/ia? neiaa: eiinoaioa o?eaaeino?, eo?aioianueea ai?ieneiaoe?y,
o?eaiaoeyoe?y, ia?aaeiaoiiaethaa/.

Na?iaeiaa A.A. Aeai?eoie/aneea aniaeou iaoiaea eiia/iuo yeaiaioia. –
?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa
oeceei-iaoaiaoe/aneeo iaoe ni niaoeeaeueiinoe 01.01.07 – au/eneeoaeueiay
iaoaiaoeea, Eeaaneee oieaa?neoao eiaie Oa?ana Oaa/aiei, Eeaa, 1998 a.

Caueuaaony aeai?eoie/aneay ?aaeecaoeey noai iaoiaea eiia/iuo yeaiaioia
aeey caaea/ iaoaiaoe/aneie oeceee, naycaiiuo n iia?aoi?ii Eaieana.
Iino?iai i?aaeiaoneaaeeaaoaeue a eoa?aoeeiiiuo iaoiaeao aeey
iaoiaeaeaiey ?aoaiey nenoai eiia/iiyeaiaioiuo o?aaiaiee,
aii?ieneie?othueo caaea/o Aee?eoea aeey o?aaiaiey Ioanniia a iaeanoyo
neiaeiie oi?iu. Iieo/aiu yooaeoeaiua ioeaiee eiinoaio onoie/eainoe
eo?aioianeeo aii?ieneiaoeee a iao?eeao i?ino?ainoa L1, L12, a oaeaea
aneiioioe/aneia i?aaenoaaeaiea oeacaiiuo eiinoaio onoie/eainoe a neo/aa
au?iaeaeaiey o?aoaieueieeia. Iino?iaia aeeceay e iioeiaeueiie
o?eaiaoeyoeey (-o?eaiaoeyoeey) aeey iaeanoae n a?aieoeae,
i?eiaaeeaaeauae e ?aciui eeannai aeaaeeinoe. Aeieacaia oai?aia i
i?iaeieaeaiee eoni/ii-eeiaeiuo naoi/iuo ooieoeee.

Eeth/aaua neiaa: eiinoaioa onoie/eainoe, eo?aioianeay aii?ieneiaoeey,
o?eaiaoeyoeey, i?aaeiaoneaaeeaaoaeue.

Sbrodova G.A. The algorithmic aspects of the method of finite elements.
— Manuscript.

Thesis for the scientific degree of the candidate of
physico-mathematical sciences on the speciality 01.01.07- calculus
mathematics. Taras Shevchenko Kiev University, Kiev, 1998.

The algorithmic realization of schemes of the method of finite elements
for problems of the mathematical physics connected with the Laplace
operator is presented. The predefinder in iterative methods for the
determination of a solution for systems of finite-elements equations is
proposed which approximates the Dirichlet problem for the Poisson
equation in areas of the complicated form. The effective valuations of
the stability constants for the Curant approximations in the metrics of
spaces L2, L12 as well as the asymptotic representation of the indicated
constants of stability in the case of the degeneration of triangles are
obtained. The triangulation close to an optimum (-triangulation) is
constructed for areas with the boundaries belong to different classes of
smoothness. The theorem of the prolongation of piecewise linear grid
functions is proved.

Key words: constant of stability, Curant approximation, triangulation,
predefinder.

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