非经典边界值问题的数值求解

IF 1.7 3区数学 Q2 MATHEMATICS, APPLIED

Numerical Algorithms Pub Date : 2024-09-19 DOI:10.1007/s11075-024-01946-1

Paola Boito, Yuli Eidelman, Luca Gemignani

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引用次数: 0

摘要

我们提供了一种新方法，用于获取巴拿赫空间中线性微分问题的解，并配有非局部边界条件。根据这种方法，我们推导出了一系列用于近似求解的数值方案。我们通过数值测试表明，这些方案具有数值稳健性和计算效率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Numerical solution of nonclassical boundary value problems

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Numerical solution of nonclassical boundary value problems

We provide a new approach to obtain solutions of linear differential problems set in a Banach space and equipped with nonlocal boundary conditions. From this approach we derive a family of numerical schemes for the approximation of the solutions. We show by numerical tests that these schemes are numerically robust and computationally efficient.

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来源期刊

Numerical Algorithms 数学-应用数学

CiteScore

4.00

自引率

9.50%

发文量

201

审稿时长

9 months

期刊介绍： The journal Numerical Algorithms is devoted to numerical algorithms. It publishes original and review papers on all the aspects of numerical algorithms: new algorithms, theoretical results, implementation, numerical stability, complexity, parallel computing, subroutines, and applications. Papers on computer algebra related to obtaining numerical results will also be considered. It is intended to publish only high quality papers containing material not published elsewhere.