数学
波动方程
指数函数
积分器
数学分析
类型(生物学)
扩展(谓词逻辑)
领域(数学分析)
空格(标点符号)
班级(哲学)
应用数学
指数积分器
指数型
麦克斯韦方程组
微分方程
物理
计算机科学
微分代数方程
生态学
常微分方程
量子力学
电压
人工智能
生物
程序设计语言
操作系统
作者
Benjamin Dörich,Marlis Hochbruck
摘要
In this paper we propose two exponential integrators of first and second order applied to a class of quasilinear wave-type equations. The analytical framework is an extension of the classical Kato framework and covers quasilinear Maxwell's equations in full space and on a smooth domain as well as a class of quasilinear wave equations. In contrast to earlier works, we do not assume regularity of the solution but only on the data. From this we deduce a well-posedness result upon which we base our error analysis. Compared to existing results, our error bounds require less regularity in space and in time. We include numerical examples to confirm our theoretical findings.
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