Numerical simulation, an art of prediction. 1, Theory / Jean-François Sigrist.

By: Sigrist, Jean-François [author.]
Language: English Series: Numerical methods in engineering series: Publisher: London, UK : Hoboken, NJ, USA : ISTE Ltd ; John Wiley & Sons, Inc., 2019Description: 1 online resource illustrations (chiefly color), color mapsContent type: text Media type: computer Carrier type: online resourceISBN: 9781786304315; 1786304317Other title: TheorySubject(s): Mathematical models | Science -- Mathematical models | Industries -- Mathematical models | Models, Theoretical | Modèles mathématiques | Sciences -- Modèles mathématiques | Industrie -- Modèles mathématiques | mathematical models | Science -- Mathematical models | Industries -- Mathematical models | Mathematical modelsGenre/Form: Electronic books.DDC classification: 511.8 LOC classification: TA342 | .S54 2019Online resources: Full text is available at Wiley Online Library Click here to view
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511.8 Si269 2019 (Browse shelf) Available
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Includes bibliographical references and index.

Table of Contents
Foreword vii

Preface ix

Acknowledgements xiii

Chapter 1. The World in Equations 1

1.1. Numerical modeling 3

1.1.1. Modeling 3

1.1.2. Understanding, designing, forecasting, optimizing 4

1.2. Putting the world into equations: example of mechanics 5

1.2.1. Construction of classical mechanical models 5

1.2.2. Emergence of quantum mechanics 23

1.3. Solving an equation 34

1.3.1. Finding a mathematical formula 34

1.3.2. Calculating using a computer 38

Chapter 2. Simulation Practice 49

2.1. Validating a simulation 50

2.1.1. Demonstrating a theorem 50

2.1.2. Confronting points of view… 51

2.1.3. Relying on experience 54

2.1.4. Changing point of view 57

2.2. Maturity of a technique 61

2.3. Practice, practice, practice... 63

2.3.1. The engineer’s palette 63

2.3.2. Complementary philosophies 68

2.3.3. Users with different needs 70

Chapter 3. A Global Technique 77

3.1. A very generalized technique 78

3.2. A strategic technique 80

3.3. Hercules of the calculation 85

3.3.1. High-performance computing 85

3.3.2. Stroke to computing power 88

Chapter 4. The Data World 101

4.1. Big data 102

4.2. Data and networks 104

4.3. Learning from data 115

4.4. Biological and digital brains 121

4.4.1. Biological neurons 123

4.4.2. Digital neural networks 129

4.5. Are humans overwhelmed by machines? 137

4.5.1. All-round machine victories 137

4.5.2. A war of intelligence? 139

4.5.3. Science fiction 140

4.5.4. Science without fiction 142

4.5.5. Complementarity of intelligence 145

4.5.6. Complexity and robustness 150

4.5.7. Imitation game 151

4.5.8. Priority to the law! 153

4.5.9. More human than human? 155

Conclusion 159

Glossary of Terms 171

References 201

Index 237

About the Author
Jean-François Sigrist is a doctor of engineering sciences who has worked for almost 20 years in the industry, leading a team of research engineers in numerical simulation. He is now an independent expert.

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