Time Dependent Problems and Difference Methods
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More About This Title Time Dependent Problems and Difference Methods
English
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.
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.
English
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.
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.
