SYMPLECTIC SCHEMES FOR QUASILINEAR WAVE EQUATIONS OF KLEIN-GORDON AND SINE-GORDON TYPE

• 来源期刊: 计算数学(英文版)
• 学科: 数学
• 关键词: Symplectic integration Sine-Gordon equations Finite difference method.
• 年，卷（期）: 2001,（5）
• 页码范围: 475-488
• 页数: 14页
• 分类号: O1
• 语种: 英文

摘要

A class of finite difference methods of first- and second-order accuracy for the computa tion of solutions to the quasilinear wave equations is presented. These difference methods are constructed based on the symplectic schemes to the infinite-dimensional Hamiltonian system. Numerical experiments are presented to demonstrate the superior performance of these methods.