Practical Construction of Two-Step Collocation Runge-Kutta Methods for Ordinary Differential Equations

被引：0

作者：

Conte, Dajana ^{[1
]}

D'Ambrosio, Raffaele ^{[1
]}

Paternoster, Beatrice ^{[1
]}

Ferro, Maria

机构：

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

来源：

APPLIED AND INDUSTRIAL MATHEMATICS IN ITALY III | 2009年 / 82卷

关键词：

Ordinary differential equations; Collocation methods; Two-step Runge-Kutta methods; A-stability; NYSTROM METHODS; F X; Y'';

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is the purpose of this paper to analyse a new class of two-step collocation methods for the numerical solution of ordinary differential equations (ODEs), possessing higher order of convergence than classical one step collocation methods and A-stability, without any increase of the computational cost. These methods seem to be particularly promising for practical applications, e.g. efficient implementation, resolution of ODEs based problems belonging to models of evolutionary real life phenomena.

引用

页码：278 / 288

页数：11

共 23 条

[1]

BUTCHER J. C., 2016, Numerical Methods for Ordinary Differential Equations

[2] Numerical experiments with some explicit pseudo two-step RK methods on a shared memory computer [J].