CONSTRUCTION OF EFFICIENT GENERAL LINEAR METHODS FOR NON-STIFF DIFFERENTIAL SYSTEMS-Reference-Cited by-同舟云学术

CONSTRUCTION OF EFFICIENT GENERAL LINEAR METHODS FOR NON-STIFF DIFFERENTIAL SYSTEMS

Published:2012-04-01 Issue:2 Volume:17 Page:171-189
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Bra´s Michal¹,Cardone Angelamaria²

Affiliation:

1. Faculty of Applied Mathematics, AGH University of Science and Technology al. Mickiewicza 30, 30-059 Krakow, Poland, and Faculty of Mathematics and Computer Science, Jagiellonian University

2. Dipartimento di Matematica, Universit`a degli Studi di Salerno via Ponte Don Melillo, I-84084 Fisciano (SA), Italy

Abstract

This paper describes the construction of explicit general linear methods in Nordsieck form with inherent quadratic stability and large areas of the stability region. After satisfying order and inherent quadratic stability conditions, the remaining free parameters are used to find the methods with large area of region of absolute stability. Examples of methods with p = q + 1 = s = r and p = q = s = r - 1 up to order 6 are given.

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

Reference17 articles.

1. Nordsieck representation of two-step Runge–Kutta methods for ordinary differential equations

2. NORDSIECK METHODS WITH INHERENT QUADRATIC STABILITY

3. Nordsieck methods with computationally verified algebraic stability

4. Numerical Methods for Ordinary Differential Equations

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