NUMERIC ESTIMATES OF THE PRINCIPAL EIGENVALUE OF THE p-LAPLACIAN USING INTERVAL ARITHMETIC

被引：0
|
作者：
Benedikt, Jir I. [1 ]
Pulpan, Jan [1 ]
机构：
[1] Univ West Bohemia, Dept Math & NTIS, Fac Sci Appl, Univ 8, CZ-30100 Plzen, Czech Republic
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年
关键词：
Quasilinear equation; p-Laplacian; principal eigenvalue; interval arithmetic; 1ST EIGENPAIR;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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].
引用
收藏
页码：67 / 80
页数：14
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