東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Numerical treatment and analysis of ...

Jin, Bangti.

Linked to FindBook

Google Book

Amazon

博客來

Numerical treatment and analysis of time-fractional evolution equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Numerical treatment and analysis of time-fractional evolution equations/ by Bangti Jin, Zhi Zhou.
Author:	Jin, Bangti.
other author:	Zhou, Zhi.
Published:	Cham :Springer International Publishing : : 2023.,
Description:	xiii, 427 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Evolution equations. -
Online resource:	https://doi.org/10.1007/978-3-031-21050-1
ISBN:	9783031210501

Numerical treatment and analysis of time-fractional evolution equations
Jin, Bangti.

Numerical treatment and analysis of time-fractional evolution equations[electronic resource] /by Bangti Jin, Zhi Zhou. - Cham :Springer International Publishing :2023. - xiii, 427 p. :ill., digital ;24 cm. - Applied mathematical sciences,v. 2142196-968X ;. - Applied mathematical sciences ;v. 214..

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.

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.

ISBN: 9783031210501

Standard No.: 10.1007/978-3-031-21050-1doiSubjects--Topical Terms:

663081
Evolution equations.

LC Class. No.: QA1

Dewey Class. No.: 515.353

Numerical treatment and analysis of time-fractional evolution equations
LDR:02630nmm a2200337 a 4500 001 2316266
003 DE-He213
005 20230226230315.0
006 m d
007 cr nn 008maaau
008 230902s2023 sz s 0 eng d
020 $a 9783031210501 $q (electronic bk.)
020 $a 9783031210495 $q (paper)
024 7 $a 10.1007/978-3-031-21050-1 $2 doi
035 $a 978-3-031-21050-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA1
072 7 $a PBKS $2 bicssc
072 7 $a MAT006000 $2 bisacsh
072 7 $a PBKS $2 thema
082 0 4 $a 515.353 $2 23
090 $a QA1 $b .J61 2023
100 1 $a Jin, Bangti. $3 2196812
245 1 0 $a Numerical treatment and analysis of time-fractional evolution equations $h [electronic resource] / $c by Bangti Jin, Zhi Zhou.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2023.
300 $a xiii, 427 p. : $b ill., digital ; $c 24 cm.
490 1 $a Applied mathematical sciences, $x 2196-968X ; $v v. 214
505 0 $a 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 $a 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.
650 0 $a Evolution equations. $3 663081
650 0 $a Fractional differential equations. $3 2184872
650 1 4 $a Computational Mathematics and Numerical Analysis. $3 891040
650 2 4 $a Differential Equations. $3 907890
700 1 $a Zhou, Zhi. $3 1672693
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Applied mathematical sciences ; $v v. 214. $3 3629410
856 4 0 $u https://doi.org/10.1007/978-3-031-21050-1
950 $a Mathematics and Statistics (SpringerNature-11649)