Time Dependent Problems and Difference Methods

Bertil Gustafsson is a professor with the Department of Scientific Computing at Uppsala University, Sweden. Heinz--Otto Kreiss is a professor with the UCLA Department of Mathematics. He is the coauthor of Initial--Boundary Value Problems and the Navier--Stokes Equations. Joseph Oliger is a professor with the Department of Computer Science at Stanford University.

PROBLEMS WITH PERIODIC SOLUTIONS. Fourier Series and Trigonometric Interpolation. Model Equations. Higher Order Accuracy. Well--Posed Problems. Stability and Convergence for Numerical Approximations of Linear and Nonlinear Problems. Hyperbolic Equations and Numerical Methods. Parabolic Equations and Numerical Methods. Problems with Discontinuous Solutions. INITIAL--BOUNDARY--VALUE PROBLEMS. Initial--Boundary--Value Problems. The Laplace Transform Method for Initial--Boundary--Value Problems. The Energy Method for Difference Approximations. The Laplace Transform Method for Difference Approximations. The Laplace Transform Method for Fully Discrete Approximations: Normal Mode Analysis. Appendices. References. Index.