Numerical Models for Differential Problems
In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation l...
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| Format: | Electronic |
| Language: | English |
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Milano :
Springer Milan,
2009.
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| Series: | MS&A ;
2 |
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| Online Access: | https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-88-470-1071-0 |
Table of Contents:
- Introduction
- 1 A brief survey on partial differential equations
- 2 Elliptic equations
- 3 The Galerkin finite element method for elliptic problems
- 4 Spectral methods
- 5 Diffusion-transport-reaction equations
- 6 Parabolic equations
- 7 Finite differences for hyperbolic equations
- 8 Finite elements and spectral methods for hyperbolic equations
- 9 Nonlinear hyperbolic problems
- 10 The Navier-Stokes equations
- 11 Finite element programming
- 12 Generation of 1D and 2D grids
- 13 The finite volume method
- 14 Domain decomposition method
- 15 Optimal control problems for partial differential equations
- 16 Reduced basis methods
- 17 Appendix A: Elements of functional analysis
- 18 Appendix B: Solution of algebraic systems.