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 [J].

GOURLAY, AR ;

MORRIS, JL .

MATHEMATICS OF COMPUTATION, 1968, 22 (104) :715-&

[4] FINITE-DIFFERENCE METHODS FOR NONLINEAR HYPERBOLIC SYSTEMS [J].

GOURLAY, AR ;

MORRIS, JL .

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 [J].

RUBIN, EL ;

PREISER, S .

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

← 1 →