THE NONEXISTENCE OF SYMPLECTIC MULTI-DERIVATIVE RUNGE-KUTTA METHODS

被引：10

作者：

HAIRER, E

MURUA, A

SANZSERNA, JM

机构：

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

[2] EUSKAL HERRIKO UNIB,FAK INFORMAT,E-20080 SAN SEBASTIAN,SPAIN

[3] UNIV VALLADOLID,FAC CIENCIAS,DEPT MATEMAT APLICADA & COMPUTAC,VALLADOLID,SPAIN

来源：

BIT | 1994年 / 34卷 / 01期

关键词：

MULTI-DERIVATIVE RUNGE-KUTTA METHODS; SYMPLECTIC METHODS; IRREDUCIBLE METHODS;

D O I：

10.1007/BF01935017

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

A sufficient condition for the symplecticness of q-derivative Runge-Kutta methods has been derived by F. M. Lasagni. In the present note we prove that this condition can only be satisfied for methods with q less-than-or-equal-to 1, i.e., for standard Runge-Kutta methods. We further show that the conditions of Lasagni are also necessary for symplecticness so that no symplectic multi-derivative Runge-Kutta method can exist.

引用

页码：80 / 87

页数：8