A NOTE ON HIGH-ORDER SCHEMES FOR THE ONE-DIMENSIONAL WAVE-EQUATION

被引:5
作者
TUOMELA, J [1 ]
机构
[1] HELSINKI UNIV TECHNOL,INST MATH,SF-02150 ESPOO,FINLAND
来源
BIT | 1995年 / 35卷 / 03期
关键词
FINITE DIFFERENCES; WAVE EQUATION; MODIFIED EQUATION APPROACH;
D O I
10.1007/BF01732612
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
We construct in two ways stable schemes of arbitrarily high order for one dimensional wave equation. In both cases the stability limit is independent of the order. The other construction yields also automatically stable schemes for the heterogeneous case. In this case the estimated stability Limit decreases slightly with order.
引用
收藏
页码:394 / 405
页数:12
相关论文
共 9 条
[1]  
BOOLE G, 1960, TREATISE CALCULUS FI
[2]   4TH ORDER SCHEMES FOR THE HETEROGENEOUS ACOUSTICS EQUATION [J].
COHEN, G ;
JOLY, P .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1990, 80 (1-3) :397-407
[3]  
Dautray R, 1988, ANAL MATH CALCUL NUM
[4]  
Gradshteyn IS, 1980, TABLES INTEGRALS SUM
[5]  
RENAUTWILLIAMSO.RA, 1989, SIAM J NUMER ANAL, V26, P320
[6]  
RENAUTWILLIAMSO.RA, 1989, SIAM J NUMER ANAL, V26, P338
[7]   A MODIFIED EQUATION APPROACH TO CONSTRUCTING 4TH ORDER METHODS FOR ACOUSTIC-WAVE PROPAGATION [J].
SHUBIN, GR ;
BELL, JB .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1987, 8 (02) :135-151
[8]  
Tuomela J., 1994, NUMERICAL METHODS PD, V10, P33
[9]  
Wolfram S., 1991, MATH SYSTEM DOING MA