A nonstandard Euler scheme for y″+g(y)y′+f(y)y=0
作者：
Highlights：
•
摘要
We introduce a nonstandard Euler scheme for solving the differential equation y″+g(y)y′+f(y)y=0 which has the same linear stability properties as the differential equation and is conservative when g=0. The method is based on a physically motivated reduction of the equation to a system of two first-order equations and the use of Lie group integrators. The method is demonstrated on a few examples and compared to a standard MATLAB adaptive solver.
论文关键词：65L.06,34A.50,Euler method,Lie group method,Nonstandard finite difference scheme,Conservative method,Splitting
论文评审过程：Received 12 February 2002, Revised 3 July 2002, Available online 7 January 2003.
论文官网地址：https://doi.org/10.1016/S0377-0427(02)00753-7
