Numerical Models for Differential Problems

Table of Contents

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   Book Overview
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   Chapter 1 A brief survey of partial differential equations
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   Chapter 2 Elements of functional analysis
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   Chapter 3 Elliptic equations
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   Chapter 4 The Galerkin finite element method for elliptic problems
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   Chapter 5 Parabolic equations
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   Chapter 6 Generation of 1D and 2D grids
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   Chapter 7 Algorithms for the solution of linear systems
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   Chapter 8 Elements of finite element programming
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    Chapter 9 The finite volume method
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    Chapter 10 Spectral methods
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    Chapter 11 Discontinuous element methods (DG and mortar)
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    Chapter 12 Diffusion-transport-reaction equations
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    Chapter 13 Finite differences for hyperbolic equations
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    Chapter 14 Finite elements and spectral methods for hyperbolic equations
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    Chapter 15 Nonlinear hyperbolic problems
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    Chapter 16 Navier-Stokes equations
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    Chapter 17 Optimal control of partial differential equations
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    Chapter 18 Domain decomposition methods
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    Chapter 19 Reduced basis approximation for parametrized partial differential equations