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020    3-031-21050-6
024 7  10.1007/978-3-031-21050-1 |2doi
035    (MiAaPQ)EBC7207079
035    (Au-PeEL)EBL7207079
035    (CKB)26183518800041
035    (DE-He213)978-3-031-21050-1
035    (PPN)268204993
035    (EXLCZ)9926183518800041
040    MiAaPQ |beng |erda |epn |cMiAaPQ |dMiAaPQ
050  4 QA377.3 |b.J563 2023
072  7 PBKS |2bicssc
072  7 MAT006000 |2bisacsh
072  7 PBKS |2thema
082 0  929.374 |223
100 1  Jin, Bangti, |eauthor.
245 10 Numerical treatment and analysis of time-fractional evolution equations / |cBangti Jin, Zhi Zhou.
250    1st ed. 2023.
264  1 Cham, Switzerland : |bSpringer, |c[2023]
264  4  |c©2023
300    1 online resource (428 pages)
336    text |btxt |2rdacontent
337    computer |bc |2rdamedia
338    online resource |bcr |2rdacarrier
490 1  Applied Mathematical Sciences, |x2196-968X ; |v214
505 0  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.
520    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 either convolution quadrature or finite difference. The main concern is on stability and error analysis of approximate solutions, efficient implementation and qualitative properties, under various regularity assumptions on the problem data, using tools from semigroup theory and Laplace transform. The book provides a comprehensive survey on the present ideas and methods of analysis, and it covers most important topics in this active area of research. It is recommended for graduate students and researchers in applied and computational mathematics, particularly numerical analysis.
588    Description based on print version record.
504    Includes bibliographical references and index.
650  0 Evolution equations.
650  7 Equacions d'evolució |2thub
655  7 Llibres electrònics |2thub
776 08  |iPrint version:Jin, Bangti |tNumerical Treatment and Analysis of Time-Fractional Evolution Equations |dCham : Springer International Publishing AG,c2023 |z9783031210495
700 1  Zhou, Zhi, |eauthor.
830  0 Applied Mathematical Sciences, |x2196-968X ; |v214
906    BOOK