Finite Difference Schemes and Partial Differential Equations 2/e

John Strikwerda is Professor in the Department of Computer Sciences at the University of Wisconsin, Madison.

Preface to the Second Edition Preface to the First Edition Chapter 1: Hyperbolic Partial Differential Equations Chapter 2: Analysis of Finite Difference Schemes Chapter 3: Order of Accuracy of Finite Difference Schemes Chapter 4: Stability for Multistep Schemes Chapter 5: Dissipation and Dispersion Chapter 6: Parabolic Partial Differential Equations Chapter 7: Systems of Partial Differential Equations in Higher Dimensions Chapter 8: Second-Order Equations Chapter 9: Analysis of Well-Posed and Stable Problems Chapter 10: Convergence Estimates for Initial Value Problems Chapter 11: Well-Posed and Stable Initial-Boundary Value Problems Chapter 12: Elliptic Partial Differential Equations and Difference Schemes Chapter 13: Linear Iterative Methods Chapter 14: The Method of Steepest Descent and the Conjugate Gradient Method Appendix A: Matrix and Vector Analysis Appendix B: A Survey of Real Analysis Appendix C: A Survey of Results from Complex Anaylsis References Index.