Artículos relacionados a Numerical Integration of Space Fractional Partial Differenti...
Numerical Integration of Space Fractional Partial Differential Equations: Vol 2 - Applications from Classical Integer PDEs (Synthesis Lectures on Mathematics & Statistics) - Tapa blanda
Sinopsis
Partial differential equations (PDEs) are one of the most used widely forms of mathematics in science and engineering. PDEs can have partial derivatives with respect to (1) an initial value variable, typically time, and (2) boundary value variables, typically spatial variables. Therefore, two fractional PDEs can be considered, (1) fractional in time (TFPDEs), and (2) fractional in space (SFPDEs). The two volumes are directed to the development and use of SFPDEs, with the discussion divided as:
- Vol 1: Introduction to Algorithms and Computer Coding in R
- Vol 2: Applications from Classical Integer PDEs.
Various definitions of space fractional derivatives have been proposed. We focus on the Caputo derivative, with occasional reference to the Riemann-Liouville derivative.
In the second volume, the emphasis is on applications of SFPDEs developed mainly through the extension of classical integer PDEs to SFPDEs. The example applications are:
- Fractional diffusion equation with Dirichlet, Neumann and Robin boundary conditions
- Fisher-Kolmogorov SFPDE
- Burgers SFPDE
- Fokker-Planck SFPDE
- Burgers-Huxley SFPDE
- Fitzhugh-Nagumo SFPDE
These SFPDEs were selected because they are integer first order in time and integer second order in space. The variation in the spatial derivative from order two (parabolic) to order one (first order hyperbolic) demonstrates the effect of the spatial fractional order ���� with 1 ≤ ���� ≤ 2. All of the example SFPDEs are one dimensional in Cartesian coordinates. Extensions to higher dimensions and other coordinate systems, in principle, follow from the examples in this second volume.
The examples start with a statement of the integer PDEs that are then extended to SFPDEs. The format of each chapter is the same as in the first volume.
The R routines can be downloaded and executed on a modest computer (R is readily available from the Internet).
"Sinopsis" puede pertenecer a otra edición de este libro.
Acerca del autor
My research focus is applied mathematics broadly. This includes numerical linear algebra, optimization and solving differential equations. My primary research interest concerns the areas of numerical analysis, scientific computing and high performance computing with particular emphasis on the numerical solution of ordinary differential equations (ODEs) and partial differential equations (PDEs). One focus of my work is programming efficient numerical methods for ODEs and PDEs. I have extensive experience in MATLAB, Maple, Mathematica and R programming of transportable numerical method routines, but I am also experienced in programming in C, C++ and C#, and could readily apply these programming systems to numerical ODE/PDEs. Recently, I have become interested in fractional differential equations (FDEs), especially the numerical solution of fractional initial value problems (FIVPs) and space fractional differential equations (SFPDEs).William E. Schiesser is Emeritus McCann Professor of Computational Biomedical Engineering and Chemical and Biomolecular Engineering, and Professor of Mathematics at Lehigh University. His research is directed toward numerical methods and associated software for ordinary, differential-algebraic and partial differential equations (ODE/DAE/PDEs). He is the author, coauthor or coeditor of 18 books, and his ODE/DAE/PDE computer routines have been accessed by some 5,000 colleges and universities, corporations and government agencies.
"Sobre este título" puede pertenecer a otra edición de este libro.
Comprar nuevo
Ver este artículo
EUR 64,19
EUR 11,00 gastos de envío desde Alemania a España
Destinos, gastos y plazos de envíoOtras ediciones populares con el mismo título
Resultados de la búsqueda para Numerical Integration of Space Fractional Partial Differenti...
Imagen del vendedor
Numerical Integration of Space Fractional Partial Differential Equations
Publicado por
Springer International Publishing Dez 2017, 2017
ISBN 10: 3031012844
ISBN 13: 9783031012846
Nuevo
Taschenbuch
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Partial differential equations (PDEs) are one of the most used widely forms of mathematics in science and engineering. PDEs can have partial derivatives with respect to (1) an initial value variable, typically time, and (2) boundary value variables, typically spatial variables. Therefore, two fractional PDEs can be considered, (1) fractional in time (TFPDEs), and (2) fractional in space (SFPDEs). The two volumes are directed to the development and use of SFPDEs, with the discussion divided as:Vol 1: Introduction to Algorithms and Computer Coding in RVol 2: Applications from Classical Integer PDEs.Various definitions of space fractional derivatives have been proposed. We focus on the Caputo derivative, with occasional reference to the Riemann-Liouville derivative.In the second volume, the emphasis is on applications of SFPDEs developed mainly through the extension of classical integer PDEs to SFPDEs. The example applications are:Fractional diffusion equation with Dirichlet, Neumann and Robin boundary conditionsFisher-Kolmogorov SFPDEBurgers SFPDEFokker-Planck SFPDEBurgers-Huxley SFPDEFitzhugh-Nagumo SFPDEThese SFPDEs were selected because they are integer first order in time and integer second order in space. The variation in the spatial derivative from order two (parabolic) to order one (first order hyperbolic) demonstrates the effect of the spatial fractional order with 1 2. All of the example SFPDEs are one dimensional in Cartesian coordinates. Extensions to higher dimensions and other coordinate systems, in principle, follow from the examples in this second volume.The examples start with a statement of the integer PDEs that are then extended to SFPDEs. The format of each chapter is the same as in the first volume.The R routines can be downloaded and executed on a modest computer (R is readily available from the Internet). 208 pp. Englisch. Nº de ref. del artículo: 9783031012846
Cantidad disponible: 2 disponibles
Imagen del vendedor
Numerical Integration of Space Fractional Partial Differential Equations
Publicado por
Springer, Berlin|Springer International Publishing|Morgan & Claypool|Springer, 2017
ISBN 10: 3031012844
ISBN 13: 9783031012846
Nuevo
Tapa blanda
Librería: moluna, Greven, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Partial differential equations (PDEs) are one of the most used widely forms of mathematics in science and engineering. PDEs can have partial derivatives with respect to (1) an initial value variable, typically time, and (2) boundary value variables, typi. Nº de ref. del artículo: 608129501
Cantidad disponible: Más de 20 disponibles
Imagen del vendedor
Numerical Integration of Space Fractional Partial Differential Equations : Vol 2 - Applications from Classical Integer PDEs
Publicado por
Springer International Publishing, 2017
ISBN 10: 3031012844
ISBN 13: 9783031012846
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - Partial differential equations (PDEs) are one of the most used widely forms of mathematics in science and engineering. PDEs can have partial derivatives with respect to (1) an initial value variable, typically time, and (2) boundary value variables, typically spatial variables. Therefore, two fractional PDEs can be considered, (1) fractional in time (TFPDEs), and (2) fractional in space (SFPDEs). The two volumes are directed to the development and use of SFPDEs, with the discussion divided as:Vol 1: Introduction to Algorithms and Computer Coding in RVol 2: Applications from Classical Integer PDEs.Various definitions of space fractional derivatives have been proposed. We focus on the Caputo derivative, with occasional reference to the Riemann-Liouville derivative.In the second volume, the emphasis is on applications of SFPDEs developed mainly through the extension of classical integer PDEs to SFPDEs. The example applications are:Fractional diffusion equation with Dirichlet, Neumann and Robin boundary conditionsFisher-Kolmogorov SFPDEBurgers SFPDEFokker-Planck SFPDEBurgers-Huxley SFPDEFitzhugh-Nagumo SFPDEThese SFPDEs were selected because they are integer first order in time and integer second order in space. The variation in the spatial derivative from order two (parabolic) to order one (first order hyperbolic) demonstrates the effect of the spatial fractional order with 1 2. All of the example SFPDEs are one dimensional in Cartesian coordinates. Extensions to higher dimensions and other coordinate systems, in principle, follow from the examples in this second volume.The examples start with a statement of the integer PDEs that are then extended to SFPDEs. The format of each chapter is the same as in the first volume.The R routines can be downloaded and executed on a modest computer (R is readily available from the Internet). Nº de ref. del artículo: 9783031012846
Cantidad disponible: 1 disponibles
Imagen de archivo
Numerical Integration of Space Fractional Partial Differential Equations: Vol 2 - Applications from Classical Integer PDEs (Synthesis Lectures on Mathematics & Statistics)
Librería: Books Puddle, New York, NY, Estados Unidos de America
Calificación del vendedor: 4 de 5 estrellas
Condición: New. 1st edition NO-PA16APR2015-KAP. Nº de ref. del artículo: 26394683532
Cantidad disponible: 4 disponibles
Imagen de archivo
Numerical Integration of Space Fractional Partial Differential Equations: Vol 2 - Applications from Classical Integer PDEs (Synthesis Lectures on Mathematics & Statistics)
Impresión bajo demandaLibrería: Majestic Books, Hounslow, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Print on Demand. Nº de ref. del artículo: 401726291
Cantidad disponible: 4 disponibles
Imagen del vendedor
Numerical Integration of Space Fractional Partial Differential Equations
Publicado por
Springer International Publishing, Springer Nature Switzerland Dez 2017, 2017
ISBN 10: 3031012844
ISBN 13: 9783031012846
Nuevo
Taschenbuch
Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Neuware -Partial differential equations (PDEs) are one of the most used widely forms of mathematics in science and engineering. PDEs can have partial derivatives with respect to (1) an initial value variable, typically time, and (2) boundary value variables, typically spatial variables. Therefore, two fractional PDEs can be considered, (1) fractional in time (TFPDEs), and (2) fractional in space (SFPDEs). The two volumes are directed to the development and use of SFPDEs, with the discussion divided as:Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 208 pp. Englisch. Nº de ref. del artículo: 9783031012846
Cantidad disponible: 2 disponibles
Imagen de archivo
Numerical Integration of Space Fractional Partial Differential Equations: Vol 2 - Applications from Classical Integer PDEs (Synthesis Lectures on Mathematics & Statistics)
Impresión bajo demandaLibrería: Biblios, Frankfurt am main, HESSE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: New. PRINT ON DEMAND. Nº de ref. del artículo: 18394683526
Cantidad disponible: 4 disponibles