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Essential Partial Differential Equations

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Cover of 'Essential Partial Differential Equations'

Table of Contents

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    Book Overview
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    Chapter 1 Setting the Scene
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    Chapter 2 Boundary and Initial Data
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    Chapter 3 The Origin of PDEs
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    Chapter 4 Classification of PDEs
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    Chapter 5 Boundary Value Problems in $$\mathbb {R}^1$$ R 1
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    Chapter 6 Finite Difference Methods in  $$\mathbb {R}^1$$ R 1
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    Chapter 7 Maximum Principles and Energy Methods
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    Chapter 8 Separation of Variables
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    Chapter 9 The Method of Characteristics
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    Chapter 10 Finite Difference Methods for Elliptic PDEs
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    Chapter 11 Finite Difference Methods for Parabolic PDEs
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    Chapter 12 Finite Difference Methods for Hyperbolic PDEs
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    Chapter 13 Projects
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