Two-step diagonally-implicit collocation based methods for Volterra Integral Equations

被引：24
|
作者：
Conte, Dajana [1 ]
D'Ambrosio, Raffaele [1 ]
Paternoster, Beatrice [1 ]
机构：
[1] Univ Salerno, Dipartimento Matemat, I-84084 Fisciano, SA, Italy
来源：
APPLIED NUMERICAL MATHEMATICS | 2012年 / 62卷 / 10期
关键词：
Numerical methods for Volterra Integral Equations; Two-step collocation methods; Two-step Runge-Kutta methods; Diagonally-implicit methods; RUNGE-KUTTA METHODS; ORDINARY DIFFERENTIAL-EQUATIONS;
D O I：
10.1016/j.apnum.2012.06.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a family of diagonally-implicit continuous methods for the numerical integration of Volterra Integral Equations. The derived methods are characterized by a lower triangular or diagonal coefficient matrix of the nonlinear system for the computation of the stages which, as it is known, can be exploited to get an efficient implementation. The constructed methods have a high uniform order of convergence together with strong stability properties (e.g. A-stability). (C) 2012 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：1312 / 1324
页数：13
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