Sale!

Numerical Methods for Elliptic and Parabolic Partial Differential Equations 2nd Edition Peter Knabner

Name: Numerical Methods for Elliptic and Parabolic Partial Differential Equations 2nd Edition Peter Knabner
SKU: EB-36368522
Availability: InStock

Original price was: $50.00.Current price is: $25.00.

Numerical Methods for Elliptic and Parabolic Partial Differential Equations 2nd Edition Peter Knabner Digital Instant Download

Author(s): Peter Knabner, Lutz Angermann

ISBN(s): 9783030793845, 3030793842

Edition: 2

File Details: PDF, 10.51 MB

Year: 2021

Language: English

SKU: EB-36368522 Category: Mathematics - Differential Equations Tags: 3030793842, 9783030793845, Andreas Rupp, Elliptic, Lutz Angermann, Peter Knabner

Description

Numerical Methods for Elliptic and Parabolic Partial Differential Equations 2nd Edition Peter Knabner – Ebook Instant Download/Delivery ISBN(s): 9783030793845,3030793842

Product details:

• ISBN 10:3030793842
• ISBN 13:9783030793845
• Author(s): Peter Knabner, Lutz Angermann

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.

Table contents:

Front Matter

0. For Example: Modelling Processes in Porous Media with Differential Equations

1. For the Beginning: The Finite Difference Method for the Poisson Equation

2. The Finite Element Method for the Poisson Equation

3. The Finite Element Method for Linear Elliptic Boundary Value Problems of Second Order

4. Grid Generation and A Posteriori Error Estimation

5. Iterative Methods for Systems of Linear Equations

6. Beyond Coercivity, Consistency, and Conformity

7. Mixed and Nonconforming Discretization Methods

8. The Finite Volume Method

9. Discretization Methods for Parabolic Initial Boundary Value Problems

10. Discretization Methods for Convection-Dominated Problems

11. An Outlook to Nonlinear Partial Differential Equations

People also search:

elliptic parabolic and hyperbolic partial differential equations pdf
elliptic parabolic and hyperbolic partial differential equations
numerical methods for elliptic and parabolic partial differential equations
numerical solution of elliptic and parabolic partial differential equations
what is elliptic partial differential equations