FURTHER REDUCTION IN THE NUMBER OF INDEPENDENT ORDER CONDITIONS FOR SYMPLECTIC, EXPLICIT PARTITIONED RUNGE-KUTTA AND RUNGE-KUTTA-NYSTROM METHODS

被引：9

作者：

CALVO, MP ^{[1
]}

HAIRER, E ^{[1
]}

机构：

[1] UNIV GENEVA,DEPT MATH,CH-1211 GENEVA 24,SWITZERLAND

来源：

APPLIED NUMERICAL MATHEMATICS | 1995年 / 18卷 / 1-3期

关键词：

D O I：

10.1016/0168-9274(95)00047-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with symplectic Partitioned Runge-Kutta and Runge-Kutta-Nystrom methods for the numerical integration of Hamiltonian systems of ordinary differential equations. We show that for these methods, explicitness operates as a simplifying assumption for the study of the order conditions.

引用

页码：107 / 114

页数：8

共 8 条

[1]

ABIA L, 1993, MATH COMPUT, V60, P617, DOI 10.1090/S0025-5718-1993-1181328-1

[2]

BUTCHER JC, 1982, NUMERICAL ANAL ORDIN

[3] ORDER CONDITIONS FOR CANONICAL RUNGE-KUTTA-NYSTROM METHODS [J].

CALVO, MP ;

SANZSERNA, JM .

BIT, 1992, 32 (01) :131-142

[4] THE DEVELOPMENT OF VARIABLE-STEP SYMPLECTIC INTEGRATORS, WITH APPLICATION TO THE 2-BODY PROBLEM [J].

CALVO, MP ;

SANZSERNA, JM .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1993, 14 (04) :936-952

[5]

Hairer E., 1993, SOLVING ORDINARY DIF, V2nd

[6]

MCLACHLAN RI, IN PRESS SIAM J SCI

[7] EXPLICIT CANONICAL METHODS FOR HAMILTONIAN-SYSTEMS [J].

OKUNBOR, D ;

SKEEL, RD .

MATHEMATICS OF COMPUTATION, 1992, 59 (200) :439-455

[8]

Sanz-Serna J., 1994, NUMERICAL HAMILTONIA

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