Finite Difference Schemes and Partial Differential Equations
Finite Difference Schemes and Partial Differential Equations
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DOI：
10.2307/2008454
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发表时间：
1989-09
期刊：
影响因子：
--
通讯作者：
J. Strikwerda
中科院分区：
文献类型：
--
作者：
J. Strikwerda
第一版前言1.双曲偏微分方程2.有限差分格式分析3.差分格式的精度阶4.多步格式的稳定性5.耗散与色散6.抛物型偏微分方程组7.高维偏微分方程组8.二阶方程9.适定与稳定问题的分析10.初值问题的收敛估计11.适定与稳定的初边值问题12.椭圆型偏微分方程组与差分格式13.线性迭代法14.最陡下降法与共轭梯度法方法附录A矩阵和向量分析附录B实际分析调查附录C综合分析结果调查参考文献索引。
Preface to the second edition Preface to the first edition 1. Hyperbolic partial differential equations 2. Analysis of finite difference Schemes 3. Order of accuracy of finite difference schemes 4. Stability for multistep schemes 5. Dissipation and dispersion 6. Parabolic partial differential equations 7. Systems of partial differential equations in higher dimensions 8. Second-order equations 9. Analysis of well-posed and stable problems 10. Convergence estimates for initial value problems 11. Well-posed and stable initial-boundary value problems 12. Elliptic partial differential equations and difference schemes 13. Linear iterative methods 14. The method of steepest descent and the conjugate gradient method Appendix A. Matrix and vectoranalysis Appendix B. A survey of real analysis Appendix C. A Survey of results from complex analysis References Index.