An introduction to computational engineering with Matlab /

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Yang, Xin-She
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge International Science Pub., 2006.
Temas:
MATLAB.
Engineering mathematics > Data processing.
Mathématiques de l'ingénieur > Informatique.
TECHNOLOGY & ENGINEERING > Engineering (General)
TECHNOLOGY & ENGINEERING > Reference.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface
  • Acknowledgements
  • Summary
  • About the Author
  • Contents
  • 1. Introduction
  • 1.1 Computational Engineering
  • 1.2 DIY Philosophy
  • 1.3 How to Use the Book
  • 2. Vectors and Matrices
  • 2.1 Vector Analysis
  • 2.1.1 Vectors
  • 2.1.2 Dot Product and Norm
  • 2.1.3 Cross Product
  • 2.1.4 Differentiation of Vectors
  • 2.1.5 Three Basic Operators
  • 2.1.6 Some Important Theorems
  • 2.2 Matrix Algebra
  • 2.2.1 Matrix
  • 2.2.2 Determinant
  • 2.2.3 Inverse
  • 2.2.4 Solution of linear systems
  • 3. Differential Equations
  • 3.1 Ordinary Differential Equations3.1.1 First Order ODE
  • 3.1.2 Higher Order ODEs
  • 3.2 Partial Differential Equations
  • 3.2.1 First Order Partial Differential Equation
  • 3.2.2 Classification of Second-Order Equations
  • 3.2.3 Classic PDEs
  • 3.2.4 Other PDEs
  • 4. Finite Difference Method
  • 4.1 Introduction
  • 4.2 Integration of ODEs
  • 4.2.1 Euler Scheme
  • 4.2.2 Leap-Frog Method
  • 4.2.3 Runge-Kutta Method
  • 4.2.4 Belousov-Zhabotinsky Oscillator
  • 5. Hyperbolic Equations
  • 5.1 First-Order Hyperbolic Equation
  • 5.2 Second Order Wave Equation
  • 5.3 Sine-Gordon Equation6. Parabolic/Elliptical Equations
  • 6.1 Parabolic Equation
  • 6.2 Elliptical Equation
  • 7. Pattern Formation
  • 7.1 Pattern Formation
  • 7.2 Reaction-Diffusion System
  • 8. Finite Volume Method
  • 8.1 Introduction
  • 8.2 Elliptic Equations
  • 8.3 Parabolic Equations
  • 8.4 Hyperbolic Equations
  • 8.5 Heat Conduction: A Case Study
  • 9. Finite Element Method
  • 9.1 Finite Element Formulation
  • 9.1.1 Weak Formulation
  • 9.1.2 Shape Functions
  • 9.2 Elasticity
  • 9.2.1 Plane Stress and Plane Strain
  • 9.2.2 Plane Stress and Plane Strain9.2.3 Implementation
  • 10. Heat Conduction
  • 10.1 Basic Formulation
  • 10.2 Element-by-Element Assembly
  • 10.3 Application of Boundary Conditions
  • 10.4 A Simple Program: 1-D Heat Conduction
  • 10.5 2-D Heat Transfer
  • 11. Time-Dependent Problems
  • 11.1 The Time Dimension
  • 11.2 Time-Stepping
  • 11.3 1-D Transient Heat Transfer
  • 11.4 Wave Equation
  • 12. Optimization in Engineering
  • 12.1 Introduction
  • 12.2 Bioinspired Algorithms
  • 12.2.1 Genetic Algorithms
  • 12.2.2 Neural Networks
  • 12.2.3 Virtual Bee Algorithms12.2.4 Cellular Automata
  • 12.2.5 Optimization
  • 12.2.6 No Free Lunch Theorems
  • 12.3 Engineering Optimization
  • 12.3.1 Function and Multilevel Optimization
  • 12.3.2 Multi-Peaked Functions
  • 12.3.3 Inverse Analysis
  • 13. Cellular Automata
  • 13.1 Introduction
  • 13.2 Cellular Automata
  • 13.2.1 Fundamentals of Cellular Automaton
  • 13.2.2 Finite State Cellular Automata
  • 13.2.3 Stochastic Cellular Automata
  • 13.2.4 Reversible Cellular Automata
  • 13.3 Cellular Automata and PDEs

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