ON THE ZERO STABILITY OF THE VARIABLE ORDER VARIABLE STEPSIZE BDF-FORMULAS

被引:22
作者
CALVO, M
GRANDE, T
GRIGORIEFF, RD
机构
[1] UNIV ZARAGOZA,DEPT MATEMAT APLICADA,E-50009 ZARAGOZA,SPAIN
[2] TECH UNIV BERLIN,FACHBEREICH MATH,W-1000 BERLIN 12,GERMANY
关键词
Subject Classifications: AMS(MOS): 65L05; CR:; G; 1.7;
D O I
10.1007/BF01386395
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper contains bounds for the mesh-size ratios hj+1/hj of nonequidistant grids such that any combination of the widely used backward differentiation formulas with orders l, 1≦l≦m, m=3,4,5, performs zerostable. © 1990 Springer-Verlag.
引用
收藏
页码:39 / 50
页数:12
相关论文
共 9 条
[1]  
Byrne G. D., 1975, ACM T MATH SOFTWARE, V1, P71, DOI DOI 10.1145/355626.355636
[2]   DIFSUB FOR SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS [D2] [J].
GEAR, CW .
COMMUNICATIONS OF THE ACM, 1971, 14 (03) :185-&
[3]   STABILITY OF MULTISTEP-METHODS ON VARIABLE GRIDS [J].
GRIGORIEFF, RD .
NUMERISCHE MATHEMATIK, 1983, 42 (03) :359-377
[4]   ON THE ZERO-STABILITY OF THE 3-STEP BDF-FORMULA ON NONUNIFORM GRIDS [J].
GRIGORIEFF, RD ;
PAESLEME, PJ .
BIT, 1984, 24 (01) :85-91
[5]  
HINDMARSH AC, 1975, UCID30112 LAWR LIV L
[6]  
HINDMARSH AC, 1980, ACM SIGNUM NEWSLETTE, V15, P10, DOI DOI 10.1145/1218052.1218054
[7]  
MARZ R, 1981, 7 HUMB U PREPR
[8]  
PHILIPPE B, 1982, CR ACAD SCI I-MATH, V294, P435
[9]   ZERO-STABILITY PROPERTIES OF THE 3-ORDINATE VARIABLE STEPSIZE VARIABLE FORMULA METHODS [J].
ZLATEV, Z .
NUMERISCHE MATHEMATIK, 1981, 37 (02) :157-166