Numerical models for differential problems /
Alfio Quarteroni.
- Second Edition.
- xix, 658 páginas :
- MS&A - Modeling, Simulation and Applications, 8 2037-5255 ; .
Springer eBooks
1 A brief survey of 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 Discontinuous element methods (DG and mortar) -- 12 Diffusion-transport-reaction equations -- 13 Finite differences for hyperbolic equations -- 14 Finite elements and spectral methods for hyperbolic equations -- 15 Nonlinear hyperbolic problems -- 16 Navier-Stokes equations -- 17 Optimal control of partial differential equations -- 18 Domain decomposition methods -- 19 Reduced basis approximation for parametrized partial differential equations.