CONSERVATION OF INTEGRALS AND SYMPLECTIC STRUCTURE IN THE INTEGRATION OF DIFFERENTIAL-EQUATIONS BY MULTISTEP METHODS

被引：30

作者：

EIROLA, T ^{[1
]}

SANZSERNA, JM ^{[1
]}

机构：

[1] HELSINKI UNIV TECHNOL,INST MATH,SF-02150 ESPOO 15,FINLAND

来源：

NUMERISCHE MATHEMATIK | 1992年 / 61卷 / 03期

关键词：

D O I：

10.1007/BF01385510

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the question of whether multistep methods inherit in some sense quadratic first integrals possessed by the differential system being integrated. We also investigate whether, in the integration of Hamiltonian systems, multistep methods conserve the symplectic structure of the phase space.

引用

页码：281 / 290

页数：10

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