Peter Knabner, Lutz Angerman

Numerical Methods for Elliptic and Parabolic Partial Differential Equations (eBook, PDF)

• Format: PDF

Produktbeschreibung

This text provides an introduction to numerical methods for partial differential equations interweaving both theory and applications throughout. It covers finite difference,finite element and finite volume methods. Extensive exercises are provided throughout the text. Graduate students in mathematics, engineering and physics will find this book useful.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 426
• Erscheinungstermin: 26. Mai 2006
• Englisch
• ISBN-13: 9780387217628
• Artikelnr.: 43999084

Autorenporträt

Prof. Dr. Christof Eck, Prof. Dr. Harald Garcke, Universität Regensburg Prof. Dr. Peter Knabner, Universität Erlangen

Inhaltsangabe

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.

Rezensionen

"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)