Some new additive Runge–Kutta methods and their applications

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摘要

We propose some new additive Runge–Kutta methods of orders ranging from 2 to 4 that may be used for solving some nonlinear system of ODEs, especially for the temporal discretization of some nonlinear systems of PDEs with constraints. Only linear ODEs or PDEs need to be solved at each time step with these new methods.

论文关键词：Additive Runge–Kutta method,A-stability,Stiffly accurate,Constrained PDEs

论文评审过程：Received 4 November 2004, Revised 24 January 2005, Available online 31 May 2005.

论文官网地址：https://doi.org/10.1016/j.cam.2005.02.020