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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

    Series: Texts in Applied Mathematics; 44;

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      • Publisher's listprice EUR 69.54

      • The price is estimated because at the time of ordering we do not know what conversion rates will apply to HUF / product currency when the book arrives. In case HUF is weaker, the price increases slightly, in case HUF is stronger, the price goes lower slightly.

         29 498 Ft (28 094 Ft + 5% VAT)
      • Discount 20% (cc. 5 900 Ft off)
      • Discounted price 23 599 Ft (22 475 Ft + 5% VAT)

    29 498 Ft

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    Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
    Not in stock at Prospero.

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    Delivery time is estimated on our previous experiences. We give estimations only, because we order from outside Hungary, and the delivery time mainly depends on how quickly the publisher supplies the book. Faster or slower deliveries both happen, but we do our best to supply as quickly as possible.

    Product details:

    • Edition number Second Edition 2021
    • Publisher Springer
    • Date of Publication 21 November 2022
    • Number of Volumes 1 pieces, Book

    • ISBN 9783030793876
    • Binding Paperback
    • No. of pages802 pages
    • Size 235x155 mm
    • Weight 1240 g
    • Language English
    • Illustrations 96 Illustrations, black & white; 2 Illustrations, color
      • 456

    Categories

    Number theory Algebra Analysis Probability and mathematical statistics Number theory (charity campaign) Algebra (charity campaign) Analysis (charity campaign) Probability and mathematical statistics (charity campaign)

    Short description:

    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.

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    Long description:

    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)

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    Table of Contents:

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

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

    Knabner, Peter; Angermann, Lutz;

    29 498 HUF

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