A PRACTICAL APPROACH FOR THE DERIVATION OF ALGEBRAICALLY STABLE TWO-STEP RUNGE-KUTTA METHODS-Reference-Cited by-同舟云学术

A PRACTICAL APPROACH FOR THE DERIVATION OF ALGEBRAICALLY STABLE TWO-STEP RUNGE-KUTTA METHODS

Published:2012-02-01 Issue:1 Volume:17 Page:65-77
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
language:
Short-container-title:

Author:

Conte Dajana¹,D'Ambrosio Raffaele¹,Jackiewicz Zdzislaw²,Paternoster Beatrice¹

Affiliation:

1. Universita degli Studi di Salerno Via ponte don Melillo, 84084 Fisciano (SA), Italy

2. Arizona State University AZ 85287 Tempe, United States; AGH University of Science and Techonology Krakow, Poland

Abstract

We describe an algorithm, based on a new strategy recently proposed by Hewitt and Hill in the context of general linear methods, for the construction of algebraically stable two-step Runge-Kutta methods. Using this algorithm we obtained a complete characterization of algebraically stable methods with one and two stages.

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

Reference23 articles.

1. Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses

2. High order algebraically stable Runge-Kutta methods

3. High Order Algebraically Stable Multistep Runge–Kutta Methods

4. Non-linear stability of a general class of differential equation methods

5. The equivalence of algebraic stability andAN-stability

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A class of two-step collocation methods for Volterra integro-differential equations;Applied Numerical Mathematics;2022-11

2. Regularized exponentially fitted methods for oscillatory problems;Journal of Physics: Conference Series;2020-06

3. Singly diagonally implicit multivalue collocation methods;2020 International Conference on Mathematics and Computers in Science and Engineering (MACISE);2020-01

4. User-Friendly Expressions of the Coefficients of Some Exponentially Fitted Methods;Computational Science and Its Applications – ICCSA 2020;2020

5. Strong stability preserving transformed DIMSIMs;Journal of Computational and Applied Mathematics;2018-12