TY  - BOOK
AU  - Quarteroni, Alfio
TI  - Numerical models for differential problems: modeling simulation and applications
SN  - 9788847010703
U1  - 518.64 
PY  - 2009///
CY  - New York
PB  - Springer
KW  - Mathematical analysis
KW  - Calculus
KW  - Differential equations
KW  - Numerical analysis
KW  - Mathematics
N1  - 1. A brief survey on partial differential equations
2. Elements of functional analysis
3. Elliptic equations
4. The Galerkin finite element method for elliptic problems
5. Parabolic equations
6. Generation of 1D and 2D grids
7. Algorithms for the solution of linear systems
8. Elements of finite element programming
9. The finite volume method
10. Spectral methods
11. Diffusion-transport-reaction equations
12. Finite differences for hyperbolic equations
13. Finite elements and spectral methods for hyperbolic equations
14. Nonlinear hyperbolic problems
15. Navier-Stokes equations
16. Optimal control of partial differential equations
17. Domain decomposition methods
18. Reduced basis approximation for parametrized partial differential equations
ER  -