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Numerical Models for Differential Problems

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Cover of '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 Isogeometric analysis
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    Chapter 12 Discontinuous element methods (DG and mortar)
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    Chapter 13 Diffusion-transport-reaction equations
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    Chapter 14 Finite differences for hyperbolic equations
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    Chapter 15 Finite elements and spectral methods for hyperbolic equations
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    Chapter 16 Nonlinear hyperbolic problems
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    Chapter 17 Navier-Stokes equations
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    Chapter 18 Optimal control of partial differential equations
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    Chapter 19 Domain decomposition methods
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    Chapter 20 Reduced basis approximation for parametrized partial differential equations
Attention for Chapter 9: The finite volume method
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