Quarteroni, Alfio

Numerical models for differential problems: modeling simulation and applications/ Alfio Quarteroni - New York: Springer, 2009. - xvi, 601 p. ; 24 cm.

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.

9788847010703


Mathematical analysis
Calculus
Differential equations
Numerical analysis
Mathematics

518.64 / QUA/N