Numerical models for differential problems: modeling simulation and applications/ Alfio Quarteroni

By: Quarteroni, AlfioMaterial type: TextTextPublication details: New York: Springer, 2009Description: xvi, 601 p. ; 24 cmISBN: 9788847010703Subject(s): Mathematical analysis | Calculus | Differential equations | Numerical analysis | MathematicsDDC classification: 518.64
Contents:
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.
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Holdings
Item type Current library Call number Vol info Status Date due Barcode Item holds
General Books General Books Central Library, Sikkim University
General Book Section
518.64 QUA/N (Browse shelf(Opens below)) v.2 Available P25335
Total holds: 0

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.

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