STRANG-TYPE DIFFERENCE SCHEMES FOR MULTIDIMENSIONAL PROBLEMS

被引：26

作者：

GOTTLIEB, D ^{[1
]}

机构：

[1] TEL AVIV UNIV,DEPT MATH SCI,TEL AVIV,ISRAEL

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1972年 / 9卷 / 04期

关键词：

D O I：

10.1137/0709054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using Strang's idea, explicit difference schemes of second order accuracy and of optimal stability are obtained for solving partial differential equations in d dimensions.

引用

页码：650 / 661

页数：12

共 10 条

[1] BURSTEIN SZ, 1967, NONLINEAR PARTIAL DI, P279
[2] Gourlay A. R., 1970, Journal of Computational Physics, V5, P229, DOI 10.1016/0021-9991(70)90061-6
[3] A MULTISTEP FORMULATION OF OPTIMIZED LAX-WENDROFF METHOD FOR NONLINEAR HYPERBOLIC SYSTEMS IN 2 SPACE VARIABLES
GOURLAY, AR
MORRIS, JL
[J]. MATHEMATICS OF COMPUTATION, 1968, 22 (104) : 715 - &
[4] FINITE-DIFFERENCE METHODS FOR NONLINEAR HYPERBOLIC SYSTEMS
GOURLAY, AR
MORRIS, JL
[J]. MATHEMATICS OF COMPUTATION, 1968, 22 (101) : 28 - &
[5] MARCHUK GI, 1970, 2 P S NUM SOL PART D
[6] 3-DIMENSIONAL SECOND-ORDER ACCURATE DIFFERENCE SCHEMES FOR DISCONTINUOUS HYDRODYNAMIC FLOWS
RUBIN, EL
PREISER, S
[J]. MATHEMATICS OF COMPUTATION, 1970, 24 (109) : 57 - &
[7] Strang W.G., 1968, SIAM J NUMER ANAL, V5, P506
[8] STRANG WG, 1963, ARCH RATIONAL MECH A, V12, P392
[9] STRANG WG, 1964, NUMER MATH, V13, P37
[10] ZWAS G, TO BE PUBLISHED

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