Stability of explicit and diagonal implicit Runge–Kutta methods for nonlinear Volterra functional differential equations in Banach spaces
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摘要
This paper is concerned with the stability properties of explicit and diagonal implicit Runge–Kutta methods when applied to initial value problems of nonlinear Volterra functional differential equations in Banach spaces. A series of new stability results of explicit and diagonal implicit Runge–Kutta methods are obtained.
论文关键词：Stability,Volterra functional differential equations,Explicit Runge–Kutta methods,Diagonal implicit Runge–Kutta methods,Banach space
论文评审过程：Available online 28 July 2006.
论文官网地址：https://doi.org/10.1016/j.amc.2006.06.026
