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Finite difference schemes and partial differential equations
Abstract
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.
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Cited by
Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
Ascher, U. M., Ruuth, S. J., & Wetton, B. T. R. (1995) · SIAM Journal on Numerical Analysis · doi:10.1137/0732037 · Cited by 1,020
Kim, J., Tchelepi, H. A., & Juanes, R. (2011) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2010.12.022 · Cited by 414
A Review of Geometric Transformations for Nonrigid Body Registration
Holden, M. (2008) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2007.904691 · Cited by 369
Discrete-time modelling of musical instruments
Välimäki, V., Pakarinen, J., Erkut, C., & Karjalainen, M. (2006) · Reports on Progress in Physics · doi:10.1088/0034-4885/69/1/r01 · Cited by 153
Stochastic Eulerian Lagrangian methods for fluid–structure interactions with thermal fluctuations
Atzberger, P. J. (2011) · Journal of Computational Physics · doi:10.1016/j.jcp.2010.12.028 · Cited by 94
Metadata
- Venue
- Choice Reviews Online
- Publisher
- American Library Association
- Published
- 1991-01-01
- Volume
- 28
- Issue
- 05
- Pages
- 28-2770-28-2770
- ISSN
- 0009-4978 (ISSN-L)
- 1523-8253
- OpenAlex
- W1968642437
- Cited by
- 1,889
- References
- 0
- Type
- book review
- Language
- en
- Open access
- closed
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