摘要
A class of RK methods consistent of order at least 2 is offered so that the unity of thetwo-stage Gauss, Radau and Lobatte formulae is achieved. Based on the class of axmethods exponentially fitted ax formulae of order 2 with two parameters and of order3 with one parameter are given, which are not only A-stable but also algebraicallystable, and therefore suitable for integration with a large stepsize for fast decayingcomponents of linear and nonlinear stiff systems.
A class of RK methods consistent of order at least 2 is offered so that the unity of thetwo-stage Gauss, Radau and Lobatte formulae is achieved. Based on the class of axmethods exponentially fitted ax formulae of order 2 with two parameters and of order3 with one parameter are given, which are not only A-stable but also algebraicallystable, and therefore suitable for integration with a large stepsize for fast decayingcomponents of linear and nonlinear stiff systems.
出处
《数值计算与计算机应用》
CSCD
北大核心
1999年第2期88-97,共10页
Journal on Numerical Methods and Computer Applications
基金
江西省自然科学基金
