Numerical Treatment and Analysis of Time-Fractional Evolution Equations

AvBangti Jin,Zhi Zhou

Häftad, Engelska, 2024

Del 214 i serien Applied Mathematical Sciences

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Beskrivning

This book discusses numerical methods for solving time-fractional evolution equations.

Produktinformation

Utgivningsdatum:2024-03-01
Mått:155 x 235 x 24 mm
Vikt:668 g
Format:Häftad
Språk:Engelska
Serie:Applied Mathematical Sciences
Antal sidor:427
Förlag:Springer International Publishing AG
ISBN:9783031210525

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Innehållsförteckning

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.

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