High Order Difference Methods for Time Dependent PDE

Description

The subject of this book is high order finite difference methods for time dependent PDE. The idea is to give an overview of the basic theory and construction principles by using model examples. The book also contains a general presentation of the techniques and results for well-posedness and stability, with inclusion of the three fundamental methods of analysis both for PDE in its original and discretized form: the Fourier transform, the eneregy method and the Laplace transform. Various types of wave propagation problems are treated in specific detail since high order methods are particularly effective for these problems.



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1. Ebooks list page : 2352
2. Time Dependent Problems and Difference Methods
3. Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems
4. Spectral Methods for Time-Dependent Problems
5. High Order Methods for Incompressible Fluid Flow
6. Discrete-Time High Order Neural Control: Trained with Kalman Filtering (Studies in Computational Intelligence)
7. Time-Dependent Density Functional Theory
8. Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures
9. Wave Scattering by Time-Dependent Perturbations: An Introduction
10. Generalized Difference Methods for Differential Equations: Numerical Analysis of Finite Volume Methods
11. Mathematical Theory of Reliability of Time Dependent Systems with Practical Applications
12. Generalized Difference Methods for Differential Equations: Numerical Analysis of Finite Volume Methods (Pure and Applied Mathem
13. "Optimization of Well Placement Under Time-Dependent Uncertainty" by Umut Özdoğan
14. The Finite Difference Time Domain Method for Electromagnetics
15. Parallel Finite-Difference Time-Domain Method
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