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    Numerical Methods for Elliptic and Parabolic Partial Differential Equations: With contributions by Andreas Rupp

    Numerical Methods for Elliptic and Parabolic Partial Differential Equations by Knabner, Peter; Angermann, Lutz;

    With contributions by Andreas Rupp

    Sorozatcím: Texts in Applied Mathematics; 44;

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         29 498 Ft (28 094 Ft + 5% áfa)
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    29 498 Ft

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    A termék adatai:

    • Kiadás sorszáma Second Edition 2021
    • Kiadó Springer
    • Megjelenés dátuma 2022. november 21.
    • Kötetek száma 1 pieces, Book

    • ISBN 9783030793876
    • Kötéstípus Puhakötés
    • Terjedelem802 oldal
    • Méret 235x155 mm
    • Súly 1240 g
    • Nyelv angol
    • Illusztrációk 96 Illustrations, black & white; 2 Illustrations, color
      • 456

    Kategóriák

    Számelmélet Algebra Analízis Valószínűségelmélet és matematikai statisztika Számelmélet (karitatív célú kampány) Algebra (karitatív célú kampány) Analízis (karitatív célú kampány) Valószínűségelmélet és matematikai statisztika (karitatív célú kampány)

    Rövid leírás:

    This graduate-level text provides an application oriented introduction to the numerical methods for elliptic and parabolic partial differential equations. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive exercises. For students with mathematics major it is an excellent introduction to the theory and methods, guiding them in the selection of methods and helping them to understand and pursue finite element programming. For engineering and physics students it provides a general framework for the formulation and analysis of methods.
     
    This second edition sees additional chapters on mixed discretization and on generalizing and unifying known approaches; broader applications on systems of diffusion, convection and reaction; enhanced chapters on node-centered finite volume methods and methods of convection-dominated problems, specifically treating the now-popular cell-centered finite volume method; and the consideration of realistic formulations beyond the Poisson's equation for all models and methods.

    Több

    Hosszú leírás:

    This graduate-level text provides an application oriented introduction to the numerical methods for elliptic and parabolic partial differential equations. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive exercises. For students with mathematics major it is an excellent introduction to the theory and methods, guiding them in the selection of methods and helping them to understand and pursue finite element programming. For engineering and physics students it provides a general framework for the formulation and analysis of methods.
     
    This second edition sees additional chapters on mixed discretization and on generalizing and unifying known approaches; broader applications on systems of diffusion, convection and reaction; enhanced chapters on node-centered finite volume methods and methods of convection-dominated problems, specifically treating the now-popular cell-centered finite volume method; and the consideration of realistic formulations beyond the Poisson's equation for all models and methods.



    ?This book has a large amount of new exercise problems that are uniformly distributed across the text. ? this book is a very nice text which will serve well for the undergraduate as well as graduate students and will also become a ready reference for scholars.? (Murli M. Gupta, Mathematical Reviews, April, 2023)


    ?Many of the SIAM Review readership will be interested in NMEPPDE from the standpoint of self-study or classroom education. ? NMEPPDE offers the applied mathematics reader nearly a single point of entry to our broad and challenging area. ? a bit of open space on the bookshelf could profitably be well filled with a copy of NMEPPDE.? (Robert C. Kirby, SIAM Review, Vol. 65 (1), March, 2023)

    Több

    Tartalomjegyzék:

    For Example: Modelling Processes in Porous Media with Differential Equations.- For the Beginning: The Finite Difference Method for the Poisson Equation.- The Finite Element Method for the Poisson Equation.- The Finite Element Method for Linear Elliptic Boundary Value Problems of Second Order.- Grid Generation and A Posteriori Error Estimation.- Iterative Methods for Systems of Linear Equations.- Beyond Coercivity, Consistency and Conformity.- Mixed and Nonconforming Discretization Methods.- The Finite Volume Method.- Discretization Methods for Parabolic Initial Boundary Value Problems.- Discretization Methods for Convection-Dominated Problems.- An Outlook to Nonlinear Partial Differential Equations.- Appendices.

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