CONJUGATE-SYMPLECTICITY OF LINEAR MULTISTEP METHODS

• 来源期刊: 计算数学（英文版）
• 关键词: Linear multistep method Underlying one-step method Conjugate-symplecticity Symmetry
• 年，卷（期）: 2008,（5）
• 页码范围: 657-659
• 页数: 3页
• 语种: 英文

摘要

For the numerical treatment of Hamiltonian differential equations, symplectic integra-tors are the most suitable choice, and methods that are conjugate to a symplectic integrator share the same good long-time behavior. This note characterizes linear multistep methods whose underlying one-step method is conjugate to a symplectic integrator. The bounded-hess of parasitic solution components is not addressed.