An introduction to computational engineering with Matlab /
Annotation
Saved in:
| Online Access: |
Full text (MCPHS users only) |
|---|---|
| Main Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge :
Cambridge International Science Pub.,
2006
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| Subjects: | |
| Local Note: | ProQuest Ebook Central |
MARC
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| 100 | 1 | |a Yang, Xin-She. | |
| 245 | 1 | 3 | |a An introduction to computational engineering with Matlab / |c Xin-She Yang. |
| 260 | |a Cambridge : |b Cambridge International Science Pub., |c 2006. | ||
| 300 | |a 1 online resource (x, 248 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 520 | 8 | |a Annotation |b This book strives to provide a concise introduction to computational engineering by introducing a wider range of numerical methods commonly used in computational modelling and scientific computing. These methods in-clude finite difference methods, finite volume methods, finite element methods, virtual bee algorithms, and cellu-lar automata. It also covers a wide spectrum of advanced topics in engineering applications, and these advanced topics include elasticity, heat conduction, reaction-diffusion system, optimisation, stochastic cellular auto-mata, combustion, consolidation, heat transfer of carbon nanotubes, and pattern formation. The accompanied concise Matlab programs, no more than 100 lines each, demonstrate how each numeri-cal method works. The animation and visualization of the results provide a first hand experience to the readers, es-pecially for undergraduates and graduates, to master the fundamentals of the numerical methods. These Matlab programs can also be modified. | |
| 588 | 0 | |a Print version record. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 630 | 0 | 0 | |a MATLAB. |
| 650 | 0 | |a Engineering mathematics |x Data processing. | |
| 758 | |i has work: |a An introduction to computational engineering with Matlab (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG79YQHqcWVWg3FwWkKV3P |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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