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135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aIntroduction to computational engineering with Matlab$b[electronic resource] /$fXin-She Yang
210   $aCambridge $cCambridge International Science Publishing$d2006
215   $a1 online resource (262 p.)
300   $aDescription based upon print version of record.
311   $a1-904602-52-5 
320   $aIncludes bibliographical references and index.
327   $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""
327   $a""3.1 Ordinary Differential Equations""""3.1.1 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""
327   $a""5.3 Sine-Gordon Equation""""6. 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""
327   $a""9.2.2 Plane Stress and Plane Strain""""9.2.3 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""
327   $a""12.2.3 Virtual Bee Algorithms""""12.2.4 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""
327   $a""13.3.1 Rule-Based and Equation-Based ?""
606   $aEngineering mathematics$xData processing
606   $aMathematical analysis
608   $aElectronic books.
615  0$aEngineering mathematics$xData processing.
615  0$aMathematical analysis.
676   $a620.00151
700   $aYang$b Xin-She$0781375
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910455731803321
996   $aIntroduction to computational engineering with Matlab$92460220
997   $aUNINA