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Numerical Models for Differential Problems

Alfrio Quarteroni
Publisher: 
Springer
Publication Date: 
2009
Number of Pages: 
601
Format: 
Hardcover
Series: 
Modeling, Simulation and Applications 2
Price: 
69.95
ISBN: 
9788847010703
Category: 
Monograph
We do not plan to review this book.

 

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.