Rational Methods for Abstract, Linear, Nonhomogeneous Problems without Order Reduction

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Numerical Analysis Pub Date : 2025-02-24 DOI:10.1137/24m165942x

Carlos Arranz-Simón, César Palencia

引用次数: 0

Abstract

SIAM Journal on Numerical Analysis, Volume 63, Issue 1, Page 422-436, February 2025.
Abstract. Starting from an A-stable rational approximation to [math] of order [math], [math], families of stable methods are proposed to time discretize abstract IVPs of the type [math]. These numerical procedures turn out to be of order [math], thus overcoming the order reduction phenomenon, and only one evaluation of [math] per step is required.

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无阶约抽象、线性、非齐次问题的有理方法

SIAM数值分析杂志，第63卷，第1期，第422-436页，2025年2月。摘要。从阶[math]， [math]的[math]的a稳定有理逼近出发，提出了对类型[math]的抽象ivp进行时间离散的稳定方法族。这些数值过程被证明是有序的（数学），从而克服了降阶现象，并且每一步只需要对[数学]进行一次评估。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

SIAM Journal on Numerical Analysis 数学-应用数学

CiteScore

4.80

自引率

6.90%

发文量

110

审稿时长

4-8 weeks

期刊介绍： SIAM Journal on Numerical Analysis (SINUM) contains research articles on the development and analysis of numerical methods. Topics include the rigorous study of convergence of algorithms, their accuracy, their stability, and their computational complexity. Also included are results in mathematical analysis that contribute to algorithm analysis, and computational results that demonstrate algorithm behavior and applicability.