Exponentially fitted two-step Runge-Kutta methods: Construction and parameter selection

被引：31

作者：

D'Ambrosio, R. ^{[1
]}

Esposito, E. ^{[1
]}

Paternoster, B. ^{[1
]}

机构：

[1] Univ Salerno, Dipartimento Matemat & Informat, Fisciano, SA, Italy

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 14期

关键词：

Ordinary differential equations; Two-step Runge-Kutta methods; Exponential fitting; Parameter selection; ORDINARY DIFFERENTIAL-EQUATIONS; INITIAL-VALUE PROBLEMS; VARIABLE-COEFFICIENTS; COLLOCATION METHODS; ORDER CONDITIONS; STABILITY; DERIVATION;

D O I：

10.1016/j.amc.2012.01.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive exponentially fitted two-step Runge-Kutta methods for the numerical solution of y' = f(x,y), specially tuned to the behaviour of the solution. Such methods have nonconstant coefficients which depend on a parameter to be suitably estimated. The construction of the methods is shown and a strategy of parameter selection is presented. Some numerical experiments are provided to confirm the theoretical expectations. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：7468 / 7480

页数：13

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