Numerical Methods for Elliptic and Parabolic Partial Differential Equations

By: Peter Knabner, Lutz Angerman

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Hardcover | 26 June 2003

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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.

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Differential Calculus & Equations Applied Mathematics Medicine Medicine in General Science Physics Probability & Statistics Numerical Analysis Engineering & Technology

Technology in General Maths for Engineers

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
Table of Contents provided by Publisher. All Rights Reserved.

Numerical Methods for Elliptic and Parabolic Partial Differential Equations

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