Numerical Treatment and Analysis of Time-Fractional Evolution Equations
This book discusses numerical methods for solving time-fractional evolution equations. The approach is based on first discretizing in the spatial variables by the Galerkin finite element method, using piecewise linear trial functions, and then applying suitable time stepping schemes, of the type eit...
Αποθηκεύτηκε σε:
| Κύριοι συγγραφείς: | , |
|---|---|
| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | Αγγλικά |
| Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2023.
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| Έκδοση: | 1st ed. 2023. |
| Σειρά: | Applied Mathematical Sciences,
214 |
| Θέματα: | |
| Διαθέσιμο Online: | https://doi.org/10.1007/978-3-031-21050-1 |
| Ετικέτες: |
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Πίνακας περιεχομένων:
- Existence, Uniqueness, and Regularity of Solutions
- Semidiscrete Discretization
- Convolution Quadrature
- Finite Difference Methods: Construction and Implementation
- Finite Difference Methods on Uniform Meshes
- Finite Difference Methods on Graded Meshes
- Nonnegativity Preservation
- Discrete Fractional Maximal Regularity
- Subdiffusion with time-dependent coefficients
- Semilinear Subdiffusion Equations
- Time-Space Formulation and Finite Element Approximation
- A Spectral Petrov-Galerkin Method
- Incomplete Iterative Solution at the Time Levels
- Optimal Control with Subdiffusion Constraint
- Backward Subdiffusion Problems
- Appendix: Mathematical Preliminaries.