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Mohammad Asadzadeh
An Introduction to the Finite Element Method for Differential Equations
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Страница 1
Table of Contents
List of Tables
List of Illustrations
Guide
Pages
An Introduction to the Finite Element Method for Differential Equations
Страница 8
Preface
Acknowledgments
1 Introduction
1.1 Preliminaries
Example 26.1
1.2 Trinities for Second‐Order PDEs
1.3 PDEs in, Further Classifications
Definition 1.1
Example 1.10
Definition 1.3
1.4 Differential Operators, Superposition
Definition 1.4
1.4.1 Exercises
1.5 Some Equations of Mathematical Physics
1.5.1 The Poisson Equation
1.5.2 The Heat Equation 1.5.2.1 A Model Problem for the Stationary Heat Equation in
Remark 1.3
1.5.2.2 Fourier's Law of Heat Conduction, Derivation of the Heat Equation
Lemma 1.1
Proof:
1.5.3 The Wave Equation
1.5.3.1 The Vibrating String, Derivation of the Wave Equation in
1.5.4 Exercises
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