ON UPSTREAM DIFFERENCING AND GODUNOV-TYPE SCHEMES FOR HYPERBOLIC CONSERVATION-LAWS

被引:2422
作者
HARTEN, A
LAX, PD
VAN LEER, B
机构
[1] NASA, LANGLEY RES CTR, ICASE, HAMPTON, VA 23665 USA
[2] NYU, COURANT INST MATH SCI, NEW YORK, NY 10012 USA
[3] LEIDEN STATE UNIV, INST COMP APPLICAT SCI & ENGN, 2312 AV LEIDEN, NETHERLANDS
关键词
D O I
10.1137/1025002
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:35 / 61
页数:27
相关论文
共 23 条
[1]   ON THE SOLUTION OF NONLINEAR HYPERBOLIC DIFFERENTIAL EQUATIONS BY FINITE DIFFERENCES [J].
COURANT, R ;
ISAACSON, E ;
REES, M .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1952, 5 (03) :243-255
[2]   MONOTONE-DIFFERENCE APPROXIMATIONS FOR SCALAR CONSERVATION-LAWS [J].
CRANDALL, MG ;
MAJDA, A .
MATHEMATICS OF COMPUTATION, 1980, 34 (149) :1-21
[4]  
Godunov S.K., 1959, MAT SBORNIK, V47, P271
[5]   A RANDOM CHOICE FINITE-DIFFERENCE SCHEME FOR HYPERBOLIC CONSERVATION-LAWS [J].
HARTEN, A ;
LAX, PD .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1981, 18 (02) :289-315
[6]   FINITE-DIFFERENCE APPROXIMATIONS AND ENTROPY CONDITIONS FOR SHOCKS [J].
HARTEN, A ;
HYMAN, JM ;
LAX, PD .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1976, 29 (03) :297-322
[7]  
HARTEN A, 1982, DOEER0307767 NEW YOR
[8]  
HARTEN A, 1981, LA9105 LOS AL NAT LA
[9]  
HARTEN A, 1981, ICASE8134 REP