Exponential Integrators for Second-Order in Time Partial Differential Equations

被引：4
|
作者：
Phan, Duy [1 ]
Ostermann, Alexander [1 ]
机构：
[1] Univ Innsbruck, Inst Math, Tech Str 13, A-6020 Innsbruck, Austria
来源：
JOURNAL OF SCIENTIFIC COMPUTING | 2022年 / 93卷 / 02期
关键词：
Semilinear wave equations; Semilinear beam equations; Exponential integrators; Computation of matrix functions; RUNGE-KUTTA METHODS; EULER-BERNOULLI BEAM; WAVE-EQUATIONS; ATTRACTORS;
D O I：
10.1007/s10915-022-02018-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Two types of second-order in time partial differential equations, namely semilinear wave equations and semilinear beam equations are considered. To solve these equations with exponential integrators, we present an approach to compute efficiently the action of the matrix exponential as well as those of related matrix functions. Various numerical simulations are presented that illustrate this approach.
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页数：26
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