Numerical Methods for Wave Equations in Geophysical Fluid Dynamics

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.