| Series Preface. Preface Preface to Part 1 Contents of Part 1 Stability of Initial-Boundary-Value Schemes 8.1 Introduction 8.2 Stability 8.2.1 Stability: An Easy Case 8.2.2 Stability: Another Easy Case 8.2.3 GKSO: General Theory 8.2.4 Left Quarter Plane Problems 8.3 Constructing Stable Difference Schemes 8.4 Consistency and Convergence 8.4.1 Norms and Consistency 8.4.2 Consistency of Numerical Boundary Conditions 8.4.3 Convergence Theorem: Gustafsson 8.5 Schemes Without Numerical Boundary Conditions 8.6 Parabolic Initial-Boundary-Value Problems 9 Conservation Laws 9.1 Introduction 9.2 Theory of Scalar Conservation Laws 9.3 Thepry of Sytems of Conservation Laws 9.4 Computational Interlude VI 9.5 Numercai Solution of Conservation Laws 9.6 Diffference Schemes for Conservation Laws 9.7 Difference Schemes for Scalar Conservation Laws 9.8 Difference Schemes for K-System Conservation Laws 9.9 Godunov Schemes 9.10 High Resolution Shcemes for Linear K-System 9.11 Implicit Schemes …… 10 Elliptic Equations 11 Irregular Regions and Grids References Index |
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