Essential Partial Differential Equations Analytical and Computational Aspects /
This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy metho...
Call Number: | Libro Electrónico |
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Main Authors: | , , |
Corporate Author: | |
Format: | Electronic eBook |
Language: | Inglés |
Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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Edition: | 1st ed. 2015. |
Series: | Springer Undergraduate Mathematics Series,
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Subjects: | |
Online Access: | Texto Completo |
Table of Contents:
- Setting the scene
- Boundary and initial data
- The origin of PDEs
- Classification of PDEs
- Boundary value problems in R1
- Finite difference methods in R1
- Maximum principles and energy methods
- Separation of variables
- The method of characteristics
- Finite difference methods for elliptic PDEs
- Finite difference methods for parabolic PDEs
- Finite difference methods for hyperbolic PDEs
- Projects.