Partial Differential Equations: Modeling, Analysis, Computation
Partial Differential Equations: Modeling, Analysis, Computation
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偏微分方程：建模、分析、计算
DOI：
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发表时间：
1987
期刊：
影响因子：
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通讯作者：
J. T. T. Boonkkamp
中科院分区：
文献类型：
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作者：
R. Mattheij;S. Rienstra;J. T. T. Boonkkamp
图表表表注序微分与差分方程表征与分类傅里叶理论分布和基本解决方案有限差分近似法连续介质力学与电磁学方程造型的艺术椭圆方程的分析椭圆型方程的数值方法[j]。抛物方程的分析抛物型方程的数值方法双曲方程的分析标量双曲方程的数值解法双曲型系统的数值方法微扰法从实践中建模、分析和模拟问题。有用的定义和属性书目索引。
List of Figures List of Tables Notation Preface 1. Differential and difference equations 2. Characterization and classification 3. Fourier theory 4. Distributions and fundamental solutions 5. Approximation by finite differences 6. The Equations of continuum mechanics and electromagnetics 7. The art of modeling 8. The analysis of elliptic equations 9. Numerical methods for elliptic equations 10. Analysis of parabolic equations 11. Numerical methods for parabolic equations 12. Analysis of hyperbolic equations 13. Numerical methods for scalar hyperbolic equations 14. Numerical methods for hyperbolic systems 15. Perturbation methods 16. Modeling, analyzing, and simulating problems from practice Appendices. Useful definitions and properties Bibliography Index.