Numeric estimates of the principal eigenvalue of the p-Laplacian using interval arithmetic

IF 0.8 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2023-03-27 DOI:10.58997/ejde.sp.02.b3

Jirí Benedikt, J. Půlpán

引用次数: 0

Abstract

We present a numerical algorithm for computing rigorous upper and lower estimates of the principal eigenvalue of the p-Laplacian. To control all possible errors including the rounding errors of the computer arithmetic, we use the interval arithmetic. We implement our algorithm in the Julia programming language using IntervalArithmetic.jl package [12]. See also https://ejde.math.txstate.edu/special/02/b3/abstr.html

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用区间算法对p-拉普拉斯算子的主特征值进行数值估计

我们提出了一种计算p-Laplacian主特征值的严格上下估计的数值算法。为了控制所有可能的误差，包括计算机算法的舍入误差，我们使用区间算法。我们使用IntervalArithmetic.jl包[12]在Julia编程语言中实现了我们的算法。另请参阅https://ejde.math.txstate.edu/special/02/b3/abstr.html

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

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.