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General Applied Mathematics
 
Time Dependent Problems and Difference Methods
ISBN: 978-0-471-50734-5
Hardcover
656 pages
February 1996, ©1996
US $199.95
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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.
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