Cover; Half-title; Series-title; Title; Copyright; Contents; Preface to the second edition; Preface to the first edition; Flowchart of contents; PART I Ordinary differential equations; 1 Euler's method and beyond; 2 Multistep methods; 3 Runge-Kutta methods; 4 Stiff equations; 5 Geometric numerical integration; 6 Error control; 7 Nonlinear algebraic systems; PART II The Poisson equation; 8 Finite difference schemes; 9 The finite element method; 10 Spectral methods; 11 Gaussian elimination for sparse linear equations; 12 Classical iterative methods for sparse linear equations
13 Multigrid techniques14 Conjugate gradients; 15 Fast Poisson solvers; 16 The difiusion equation; 17 Hyperbolic equations; Appendix Bluffer's guide to useful mathematics; A.1 Linear algebra; A.2 Analysis; Bibliography; Index
Summary
Extensively updated new edition including new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients
