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[null,"1.","Record Nr.",null,"UNINA9910958531003321"]
[null,null,"Autore",null,"Yang Xin-She"]
[null,null,"Titolo",null,"Introduction to computational engineering with Matlab / / Xin-She Yang"]
[null,null,"Pubbl/distr/stampa",null,"Cambridge, : Cambridge International Science Publishing, 2006"]
[null,null,"ISBN",null,"1-904602-98-3"]
[{"$nulls":4},"1-907343-45-8"]
[{"$nulls":4},"1-4416-3884-9"]
[null,null,"Descrizione fisica",null,"1 online resource (262 p.)"]
[null,null,"Disciplina",null,"620.00151"]
[null,null,"Soggetti",null,"Engineering mathematics - Data processing"]
[{"$nulls":4},"Mathematical analysis"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"\"\"Preface\"\"; \"\"Acknowledgements\"\"; \"\"Summary\"\"; \"\"About the Author\"\"; \"\"Contents\"\"; \"\"1. Introduction\"\"; \"\"1.1 Computational Engineering\"\"; \"\"1.2 DIY Philosophy\"\"; \"\"1.3 How to Use the Book\"\"; \"\"2. Vectors and Matrices\"\"; \"\"2.1 Vector Analysis\"\"; \"\"2.1.1 Vectors\"\"; \"\"2.1.2 Dot Product and Norm\"\"; \"\"2.1.3 Cross Product\"\"; \"\"2.1.4 Differentiation of Vectors\"\"; \"\"2.1.5 Three Basic Operators\"\"; \"\"2.1.6 Some Important Theorems\"\"; \"\"2.2 Matrix Algebra\"\"; \"\"2.2.1 Matrix\"\"; \"\"2.2.2 Determinant\"\"; \"\"2.2.3 Inverse\"\"; \"\"2.2.4 Solution of linear systems\"\"; \"\"3. Differential Equations\"\""]
[{"$nulls":4},"\"\"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\"\""]
[{"$nulls":4},"\"\"5.3 Sine-Gordon Equation\"\"\"\"6. Parabolic/Elliptical Equations\"\"; \"\"6.1 Parabolic Equation\"\"; \"\"6.2 Elliptical Equation\"\"; \"\"7. Pattern Formation\"\"; \"\"7.1 Pattern Formation\"\"; \"\"7.2 Reaction-Diffusion System\"\"; \"\"8. Finite Volume Method\"\"; \"\"8.1 Introduction\"\"; \"\"8.2 Elliptic Equations\"\"; \"\"8.3 Parabolic Equations\"\"; \"\"8.4 Hyperbolic Equations\"\"; \"\"8.5 Heat "]
[{"$nulls":4},"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\"\""]
[{"$nulls":4},"\"\"9.2.2 Plane Stress and Plane Strain\"\"\"\"9.2.3 Implementation\"\"; \"\"10. Heat Conduction\"\"; \"\"10.1 Basic Formulation\"\"; \"\"10.2 Element-by-Element Assembly\"\"; \"\"10.3 Application of Boundary Conditions\"\"; \"\"10.4 A Simple Program: 1-D Heat Conduction\"\"; \"\"10.5 2-D Heat Transfer\"\"; \"\"11. Time-Dependent Problems\"\"; \"\"11.1 The Time Dimension\"\"; \"\"11.2 Time-Stepping\"\"; \"\"11.3 1-D Transient Heat Transfer\"\"; \"\"11.4 Wave Equation\"\"; \"\"12. Optimization in Engineering\"\"; \"\"12.1 Introduction\"\"; \"\"12.2 Bioinspired Algorithms\"\"; \"\"12.2.1 Genetic Algorithms\"\"; \"\"12.2.2 Neural Networks\"\""]
[{"$nulls":4},"\"\"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\"\""]
[{"$nulls":4},"\"\"13.3.1 Rule-Based and Equation-Based ?\"\""]
[null,null,null,"Sommario/riassunto","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"]