Finite Volume Methods for Hyperbolic Problems: Characteristics and Riemann Problems for Linear Hyperbolic Equations
Finite Volume Methods for Hyperbolic Problems: Characteristics and Riemann Problems for Linear Hyperbolic Equations
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DOI：
10.1017/cbo9780511791253.004
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发表时间：
2002-08
期刊：
影响因子：
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通讯作者：
R. LeVeque
中科院分区：
文献类型：
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作者：
R. LeVeque
前言1。介绍2。守恒定律与微分方程线性双曲型方程的特征与Riemann问题有限体积法CLAWPACK软件简介7.高分辨率方法边界条件和幽灵细胞8。收敛性、准确性和稳定性变系数线性方程其他实现高分辨率的方法。非线性标量守恒定律非线性标量守恒律的有限体积法守恒定律的非线性系统气体动力学和欧拉方程非线性系统的有限体积方法。一些非经典双曲问题源项与平衡定律多维双曲问题多维数值方法多维标量方程多维系统弹性波四边形网格的有限体积方法。
Preface 1. Introduction 2. Conservation laws and differential equations 3. Characteristics and Riemann problems for linear hyperbolic equations 4. Finite-volume methods 5. Introduction to the CLAWPACK software 6. High resolution methods 7. Boundary conditions and ghost cells 8. Convergence, accuracy, and stability 9. Variable-coefficient linear equations 10. Other approaches to high resolution 11. Nonlinear scalar conservation laws 12. Finite-volume methods for nonlinear scalar conservation laws 13. Nonlinear systems of conservation laws 14. Gas dynamics and the Euler equations 15. Finite-volume methods for nonlinear systems 16. Some nonclassical hyperbolic problems 17. Source terms and balance laws 18. Multidimensional hyperbolic problems 19. Multidimensional numerical methods 20. Multidimensional scalar equations 21. Multidimensional systems 22. Elastic waves 23. Finite-volume methods on quadrilateral grids Bibliography Index.