Finite difference schemes and pde

2nd ed.

John C. Strikwerda

Chapter 1. Hyperbolic Partial Differential Equations

The important concepts of convergence, consistency, and stability are presented and shown to be related by the Lax-Richtmyer equivalence theorem. The chapter concludes with a discussion of the Courant-Friedrichs-Lewy condition and related topics.

1.1 Overview of Hyperbolic Partial Differential Equations

1.2 Boundary Conditions

1.3 Introduction to Finite Difference Schemes

1.4 Convergence and Consistency

1.5 Stability

1.6 The Courant-Fridrichs-Lewy Condition