Numerical Methods for Elliptic and Parabolic Partial Differential Equations

• Main Authors: Knabner, Peter (Author), Angermann, Lutz (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2003.
• Series: Texts in Applied Mathematics, 44
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Numerical analysis.; Physics.; Numerical Analysis.; Analysis.; Applications of Mathematics.; Computational Mathematics and Numerical Analysis.; Numerical and Computational Physics.; Appl.Mathematics/Computational Methods of Engineering.

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. This renewal of interest, both in - sea...

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
• The Finite Volume Method
• Discretization Methods for Parabolic Initial Boundary Value Problems
• Iterative Methods for Nonlinear Equations
• Discretization Methods for Convection-Dominated Problems.