THE NUMERICAL-SOLUTION OF THE AUTONOMOUS CAUCHY-PROBLEM WITH ALGEBRAIC CONSTRAINTS ON THE PHASE VARIABLES

被引：0

作者：

KULIKOV, GY

机构：

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 1993年 / 33卷 / 04期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two combined methods for the numerical solution of the autonomous Cauchy problem with algebraic constraints on the phase variables are presented. A theorem on the convergence and accuracy of the resulting approximate solutions is formulated and proved. Specific examples of calculations with the proposed algorithms are presented.

引用

页码：477 / 492

页数：16

共 50 条

[1] ON A WAY OF NUMERICAL SOLVING FOR AN AUTONOMOUS CAUCHY-PROBLEM WITH ALGEBRAIC RESTRICTION ON PHASE VARIABLES
KULIKOV, GY
[J]. VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1992, (01): : 14 - 19
[2] NUMERICAL-SOLUTION OF THE CAUCHY-PROBLEM FOR GENERALIZED AEROELASTICITY EQUATIONS
DENISENKO, NV
[J]. DOKLADY AKADEMII NAUK BELARUSI, 1984, 28 (08): : 684 - 687
[3] NUMERICAL-SOLUTION OF THE CAUCHY-PROBLEM BY THE HERMITE SPLINE COLLOCATION SCHEME
DEINEKO, VV
[J]. USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1986, 26 (06): : 100 - 101
[4] NUMERICAL-SOLUTION FOR THE CAUCHY-PROBLEM IN NONLINEAR 1-D-THERMOELASTICITY
JIANG, S
[J]. COMPUTING, 1990, 44 (02) : 147 - 158
[5] NUMERICAL-SOLUTION OF A TIME-LIKE CAUCHY-PROBLEM FOR THE WAVE-EQUATION
KLIBANOV, M
RAKESH
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1992, 15 (08) : 559 - 570
[6] A NUMERICAL-SOLUTION TO THE CAUCHY-PROBLEM FOR THE LAPLACE EQUATION USING THE FOURIER-CHEBYSHEV SERIES EXPANSION
KNIZHNERMAN, LA
[J]. IZVESTIYA AKADEMII NAUK SSSR FIZIKA ZEMLI, 1984, (10): : 76 - 81
[7] THE UNIQUENESS OF THE CAUCHY-PROBLEM SOLUTION
EGOROV, IV
[J]. DOKLADY AKADEMII NAUK SSSR, 1982, 264 (04): : 812 - 814
[8] ON THE UNIQUENESS OF THE CAUCHY-PROBLEM SOLUTION
ISAKOV, VM
[J]. DOKLADY AKADEMII NAUK SSSR, 1980, 255 (01): : 18 - 21
[9] CAUCHY-PROBLEM WITH 2 FUCHSIAN VARIABLES
MADI, NS
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1991, 43 (05): : 1036 - 1044
[10] COMPUTER-BASED NUMERICAL-SOLUTION OF THE CAUCHY-PROBLEM FOR DEGENERATING EQUATIONS THROUGH THE METHOD OF FINITE-DIFFERENCES
GAKHRAMANOV, PF
TAGIEV, FA
[J]. IZVESTIYA AKADEMII NAUK AZERBAIDZHANSKOI SSR SERIYA FIZIKO-TEKHNICHESKIKH I MATEMATICHESKIKH NAUK, 1981, (01): : 129 - 132

← 1 2 3 4 5 →