Numerical Models for Differential Problems - Softcover

Inhaltsangabe

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.

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