Numerical Methods for Elliptic and Parabolic Partial Differential Equations (Hardcover)

Peter Knabner

ISBN 10: 038795449X / ISBN 13: 9780387954493

Editore: Springer-Verlag New York Inc., New York, NY, 2003

Hardcover. This book covers numerical methods for partial differential equations: discretization methods such as finite difference, finite volume and finite element methods; solution methods for linear and nonlinear systems of equations and grid generation.The book takes account of both the theory and implementation, providing simultaneously both a rigorous and an inductive presentation of the technical details. It contains modern topics such as adaptive methods, multilevel methods and methods for convection-dominated problems. Detailed illustrations and extensive exercises are included.It will provide mathematics students with an introduction to the theory and methods, guiding them in their selection of methods and helping them to understand and pursue finite element programming. For engineering and physics students it will provide a general framework for formulation and analysis of methods providing a broader perspective to specific applications. Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780387954493

Riassunto:

This text provides an application oriented introduction to the numerical methods for 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.

Contenuti: 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 * The Finite Volume Method * Discretization Methods for Parabolic Initial Boundary Value Problems * Iterative Methods for Nonlinear Equations * Discretization Methods for Convection-Dominated Problems * Appendices

Dati bibliografici

Titolo: Numerical Methods for Elliptic and Parabolic...
Casa editrice: Springer-Verlag New York Inc., New York, NY
Data di pubblicazione: 2003
Legatura: Hardcover
Condizione: new