On long time integration of the heat equation

被引：5

作者：

Andreev, Roman ^{[1
]}

机构：

[1] RICAM, Altenberger Str 69, A-4040 Linz, Austria

来源：

CALCOLO | 2016年 / 53卷 / 01期

关键词：

Heat equation; Long-time; Laguerre polynomials; Stability; STABILITY;

D O I：

10.1007/s10092-014-0133-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct space-time Petrov-Galerkin discretizations of the heat equation on an unbounded temporal interval, either right-unbounded or left-unbounded. The discrete trial and test spaces are defined using Laguerre polynomials in time and are shown to satisfy the discrete inf-sup condition. Numerical examples are provided.

引用

收藏

页码：19 / 34

页数：16

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