ORDER CONDITIONS OF 2 KINDS OF CANONICAL DIFFERENCE-SCHEMES

被引：0

作者：

ZHU, WJ

QIN, MZ

机构：

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1993年 / 25卷 / 06期

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D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to develop and simplify the general conditions for an s-stage explicit canonical difference scheme to be of q(th) order while the simplified order conditions for canonical RKN methods, which are applied to special kinds of second order ordinary differential equations, are also obtained here.

引用

页码：61 / 74

页数：14

共 11 条

[1]

ABIA L, 1991 U VALL TECHN RE

[2]

[Anonymous], 1987, SOLVING ORDINARY DIF, DOI DOI 10.1007/978-3-662-12607-3

[3]

CALRO MP, 19911 U VALL TECHN R

[4] 4TH-ORDER SYMPLECTIC INTEGRATION [J].

FOREST, E ;

RUTH, RD .

PHYSICA D, 1990, 43 (01) :105-117

[5]

OKUNBER D, 1992, IN PRESS SIAM J NUME, V29

[6]

Qin M, 1991, J COMPUT MATH, V9, P211

[7] CANONICAL RUNGE-KUTTA-NYSTROM (RKN) METHODS FOR 2ND-ORDER ORDINARY DIFFERENTIAL-EQUATIONS [J].

QIN, MZ ;

ZHU, WJ .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1991, 22 (09) :85-95

[8] A CANONICAL INTEGRATION TECHNIQUE [J].

RUTH, RD .

IEEE TRANSACTIONS ON NUCLEAR SCIENCE, 1983, 30 (04) :2669-2671

[9]

SANZSERNA JM, 19901 U VALL TECHN R

[10] THE CANONICITY OF MAPPINGS GENERATED BY RUNGE-KUTTA TYPE METHODS WHEN INTEGRATING THE SYSTEMS X=-PRTLU/PRTLX [J].

SURIS, YB .

USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1989, 29 (01) :138-144

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