Numerical Partial Differential Equations Conservation Laws and Ellip
Of the many different approaches to solving partial differential equations numerically, this book studies difference methods. Written for the beginning graduate student in applied mathematics and engineering, this text offers a means of coming out of a co
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Editors J.E. Marsden L. Sirovich M. Golubitsky
W.Jager Advisor G. Iooss
Springer Science+Business Media, LLC
Texts in Applied Mathematics 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33.
Sirovich: Introduction to Applied Mathematics. Wiggins: Introduction to Applied Nonlinear Dynamical Systems and Chaos. Hale/Ko9ak: Dynamics and Bifurcations. Chorin/Marsden: A Mathematical Introduction to Fluid Mechanics, 3rd ed. Hubbard/West: Differential Equations: A Dyitamical Systems Approach: Ordinary Differential Equations. Sontag: Mathematical Control Theory: Deterministic Finite Dimensional Systems, 2nd ed. Perko: Differential Equations and Dynamical Systems, 2nd ed. Seaborn: Hypergeometric Functions and Their Applications. Pipkin: A Course on Integral Equations. Hoppensteadt/Peskin: Mathematics in Medicine and the Life Sciences. Braun: Differential Equations and Their Applications, 4th ed. Stoer!Bulirsch: Introduction to Numerical Analysis, 2nd ed. Renardy!Rogers: A First Graduate Course in Partial Differential Equations. Banks: Growth and Diffusion Phenomena: Mathematical Frameworks and Applications. Brenner/Scott: The Mathematical Theory of Finite Element Methods. Van de Velde: Concurrent Scientific Computing. Marsden/Ratiu: Introduction to Mechanics and Symmetry, 2nd ed. Hubbard/West: Differential Equations: A Dynamical Systems Approach: Higher-Dimensional Systems. Kaplan/Glass: Understanding Nonlinear Dynamics. Holmes: Introduction to Perturbation Methods. Curtain/Zwart: An Introduction to Infinite-Dimensional Linear Systems Theory. Thomas: Numerical Partial Differential Equations: Finite Difference Methods. Taylor: Partial Differential Equations: Basic Theory. Merkin: Introduction to the Theory of Stability of Motion. Naber: Topology, Geometry, and Gauge Fields: Foundations. Po/derman/Willems: Introduction to Mathematical Systems Theory: A Behavioral Approach. Reddy: Introductory Functional Analysis with Applications to BoundaryValue Problems and Finite Elements. Gustafson/Wilcox: Analytical and Computational Methods of Advanced Engineering Mathematics. Tveito!Winther: Introduction to Partial Differential Equations: A Computational Approach. Gasquet/Witomski: Fourier Analysis and Applications: Filtering, Numerical Computation, Wavelets. Bremaud: Markov Chains: Gibbs Fields, Monte Carlo Simulation, and Queues. Durran: Numerical Methods for Wave Equations in Geophysical Fluid Dynamics. Thomas: Numerical Partial Differential Equations: Conservation Laws and Elliptic Equations.
J.W. Thomas
Numerical Partial Differential Equations Conservation Laws and Elliptic Equations
With 99 Illustrations
i
Springer
J.W. Thomas Department of Mathematics Colorado State University Fort Collins, CO 80543 USA
Series Editurs J.E. Marsden Control and Dynamical Systems 107-81 California Institute of Technology Pasadena, CA 91125 USA
L. Sirovich
M. Golubitsky Department of Mathematics University of Houston Houston, TX 77204-3476 USA
W.Jiiger Departme
