Parallelization, initialization, and boundary treatments for the diamond scheme

Marsland Stephen; McLachlan Robert I; Wilkins Matthew C.

首页> 外文期刊>Microbiology and molecular biology reviews >Parallelization, initialization, and boundary treatments for the diamond scheme

【24h】

Parallelization, initialization, and boundary treatments for the diamond scheme

机译：Parallelization, initialization, and boundary treatments for the diamond scheme

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相关主题

摘要

We study a class of general purpose linear multisymplectic integrators for Hamiltonian wave equations based on a diamond-shaped mesh. On each diamond, the PDE is discretized by a symplectic Runge-Kutta method. The scheme advances in time by filling in each diamond locally. We demonstrate that this leads to greater efficiency and parallelization and easier treatment of boundary conditions compared with methods based on rectangular meshes. We develop a variety of initial and boundary value treatments and present numerical evidence of their performance. In all cases, the observed order of convergence is equal to or greater than the number of stages of the underlying Runge-Kutta method.

著录项

来源
《Microbiology and molecular biology reviews》 |2020年第2期|761-779|共19页
作者
Marsland Stephen; McLachlan Robert I; Wilkins Matthew C.;
展开▼
作者单位

Victoria Univ Wellington, Sch Math & Stat, Wellington, New Zealand;

Massey Univ, Sch Fundamental Sci, Palmerston North, New Zealand;

展开▼
收录信息
原文格式 PDF
正文语种英语
中图分类微生物学;分子生物学;
关键词
Multisymplectic integrators; Multi-Hamiltonian PDE; Geometric numerical integration;

Parallelization, initialization, and boundary treatments for the diamond scheme

摘要

著录项

相关主题

期刊订阅