1 Introduction.- 2 Basic Finite-Difference Methods.- 3 Beyond the One-Way Wave Equation.- 4 Series-Expansion Methods.- 5 Finite Volume Methods.- 6 Semi-Lagrangian Methods.- 7 Physically Insignificant Fast Waves.- 8 Nonreflecting Boundary Conditions.- Appendix Numerical Miscellany.- A.1 Finite-Difference Operator Notation.- A.2 Tridiagonal Solvers.- A.2.1 Code for a Tridiagonal Solver.- A.2.2 Code for a Periodic Tridiagonal Solver.
Covering a wide range of techniques, this book describes methods for the solution of partial differential equations which govern wave propagation and are used in modeling atmospheric and oceanic flows. The presentation establishes a concrete link between theory and practice.