04702nam 2200613Ia 450 991045573180332120200520144314.01-904602-98-31-907343-45-81-4416-3884-9(CKB)2470000000002004(EBL)3007746(SSID)ssj0000420975(PQKBManifestationID)11271131(PQKBTitleCode)TC0000420975(PQKBWorkID)10406501(PQKB)11494598(MiAaPQ)EBC3007746(Au-PeEL)EBL3007746(CaPaEBR)ebr10303280(OCoLC)923619022(EXLCZ)99247000000000200420070316d2006 uy 0engur|n|---|||||txtccrIntroduction to computational engineering with Matlab[electronic resource] /Xin-She YangCambridge Cambridge International Science Publishing20061 online resource (262 p.)Description based upon print version of record.1-904602-52-5 Includes bibliographical references and index.""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 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""""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""""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""""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""""13.3.1 Rule-Based and Equation-Based ?""Engineering mathematicsData processingMathematical analysisElectronic books.Engineering mathematicsData processing.Mathematical analysis.620.00151Yang Xin-She781375MiAaPQMiAaPQMiAaPQBOOK9910455731803321Introduction to computational engineering with Matlab2460220UNINA