Monte-Carlo simulation: an introduction for engineers and scientists
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boca Raton ; London ; New York
CRC Press
2023
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| Edition: | First edition |
| Subjects: | |
| Online Access: | DE-1050 DE-M347 Volltext |
| Physical Description: | 1 Online-Ressource (xiii, 98 Seiten) |
| ISBN: | 9781000655704 9781003295235 |
| DOI: | 10.1201/9781003295235 |
Staff View
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| 245 | 1 | 0 | |a Monte-Carlo simulation |b an introduction for engineers and scientists |c Alan Stevens |
| 250 | |a First edition | ||
| 264 | 1 | |a Boca Raton ; London ; New York |b CRC Press |c 2023 | |
| 300 | |a 1 Online-Ressource (xiii, 98 Seiten) | ||
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| 505 | 8 | |a Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Contents -- Preface -- About the Author -- Chapter 1: The Basic Idea -- 1.1. Introduction -- Chapter 2: Buffon's Needle -- 2.1. Background -- 2.2. Computer Simulation -- 2.3. Features of the Simulation -- 2.4. Precision -- 2.5. Physical Simulation -- 2.6. Buffon's Formula -- 2.7. Exercises -- Chapter 3: Areas and Integrals -- 3.1. Temperature Profile -- 3.2. Simulation -- 3.3. Sample Mean Method -- 3.4. Higher Dimensions -- 3.5. Exercises -- Chapter 4: Thermal Radiation -- 4.1. Radiation View Factor -- 4.2. Simulation | |
| 505 | 8 | |a 4.3. Precision -- 4.4. Exercises -- Chapter 5: Bending Beams -- 5.1. Neutral Axis Offset -- 5.2. Simulation -- 5.3. Precision -- 5.4. Exercises -- Chapter 6: Torus Segment -- 6.1. Volume of a Segment of Torus -- 6.2. Simulation -- 6.3. Precision -- 6.4. Exercises -- Chapter 7: Radiation Shielding -- 7.1. Diffusion -- 7.2. Gamma-Ray Shielding -- 7.3. Build-up Factor and Energy Distribution -- 7.4. Simulation -- 7.5. Build-up Factors -- 7.6. Exercises -- Chapter 8: Stressed Cylinder -- 8.1. Buckling Probability -- 8.2. Simulation -- 8.3. Precision -- 8.4. Wilks' Method -- 8.5. Exercises | |
| 505 | 8 | |a Chapter 9: Linear Resistive Networks -- 9.1. Circuit Analysis by Random Walk -- 9.2. Single-Node Simulation -- 9.3. Unit-Resistance Cube Simulation -- 9.4. Heat Conduction Simulation -- 9.5. Exercises -- Chapter 10: Magnetic Phase Transitions -- 10.1. Ising Spin Model -- 10.2. Physical Properties -- 10.3. The Gibbs and Metropolis Algorithms -- 10.4. Simulation -- 10.5. Exercises -- Chapter 11: Polymer Chains -- 11.1. Polymers -- 11.2. Simulation -- 11.3. Precision -- 11.4. Exercises -- Chapter 12: Solutions To Selected Exercises -- 12.1. Exercise 2.7.4 -- 12.2. Exercise 3.5.2 | |
| 505 | 8 | |a 12.3. Exercise 4.4.1 -- 12.4. Exercise 5.4.2 -- 12.5. Exercise 6.4.2 -- 12.6. Exercise 7.6.2 -- 12.7. Exercise 8.4.2 -- 12.8. Exercise 9.5.1 -- 12.9. Exercise 10.5.3 -- 12.10. Exercise 11.4.3 -- Appendix A: Random Numbers -- A.1. Introduction -- A.2. Uniformly Distributed Random Numbers -- A.3. Normally Distributed Random Numbers -- Appendix B: Variance Reduction -- B.1. Introduction -- B.2. Importance Weighting -- B.3. Antithetic Variates -- B.4. Control Variates -- Index | |
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| contents | Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Contents -- Preface -- About the Author -- Chapter 1: The Basic Idea -- 1.1. Introduction -- Chapter 2: Buffon's Needle -- 2.1. Background -- 2.2. Computer Simulation -- 2.3. Features of the Simulation -- 2.4. Precision -- 2.5. Physical Simulation -- 2.6. Buffon's Formula -- 2.7. Exercises -- Chapter 3: Areas and Integrals -- 3.1. Temperature Profile -- 3.2. Simulation -- 3.3. Sample Mean Method -- 3.4. Higher Dimensions -- 3.5. Exercises -- Chapter 4: Thermal Radiation -- 4.1. Radiation View Factor -- 4.2. Simulation 4.3. Precision -- 4.4. Exercises -- Chapter 5: Bending Beams -- 5.1. Neutral Axis Offset -- 5.2. Simulation -- 5.3. Precision -- 5.4. Exercises -- Chapter 6: Torus Segment -- 6.1. Volume of a Segment of Torus -- 6.2. Simulation -- 6.3. Precision -- 6.4. Exercises -- Chapter 7: Radiation Shielding -- 7.1. Diffusion -- 7.2. Gamma-Ray Shielding -- 7.3. Build-up Factor and Energy Distribution -- 7.4. Simulation -- 7.5. Build-up Factors -- 7.6. Exercises -- Chapter 8: Stressed Cylinder -- 8.1. Buckling Probability -- 8.2. Simulation -- 8.3. Precision -- 8.4. Wilks' Method -- 8.5. Exercises Chapter 9: Linear Resistive Networks -- 9.1. Circuit Analysis by Random Walk -- 9.2. Single-Node Simulation -- 9.3. Unit-Resistance Cube Simulation -- 9.4. Heat Conduction Simulation -- 9.5. Exercises -- Chapter 10: Magnetic Phase Transitions -- 10.1. Ising Spin Model -- 10.2. Physical Properties -- 10.3. The Gibbs and Metropolis Algorithms -- 10.4. Simulation -- 10.5. Exercises -- Chapter 11: Polymer Chains -- 11.1. Polymers -- 11.2. Simulation -- 11.3. Precision -- 11.4. Exercises -- Chapter 12: Solutions To Selected Exercises -- 12.1. Exercise 2.7.4 -- 12.2. Exercise 3.5.2 12.3. Exercise 4.4.1 -- 12.4. Exercise 5.4.2 -- 12.5. Exercise 6.4.2 -- 12.6. Exercise 7.6.2 -- 12.7. Exercise 8.4.2 -- 12.8. Exercise 9.5.1 -- 12.9. Exercise 10.5.3 -- 12.10. Exercise 11.4.3 -- Appendix A: Random Numbers -- A.1. Introduction -- A.2. Uniformly Distributed Random Numbers -- A.3. Normally Distributed Random Numbers -- Appendix B: Variance Reduction -- B.1. Introduction -- B.2. Importance Weighting -- B.3. Antithetic Variates -- B.4. Control Variates -- Index |
| ctrlnum | (OCoLC)1347216818 (DE-599)BVBBV048498764 |
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| doi_str_mv | 10.1201/9781003295235 |
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| format | Electronic eBook |
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| index_date | 2024-07-03T20:43:53Z |
| indexdate | 2025-03-21T11:00:50Z |
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| isbn | 9781000655704 9781003295235 |
| language | English |
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| publisher | CRC Press |
| record_format | marc |
| spelling | Stevens, Alan Verfasser aut Monte-Carlo simulation an introduction for engineers and scientists Alan Stevens First edition Boca Raton ; London ; New York CRC Press 2023 1 Online-Ressource (xiii, 98 Seiten) txt rdacontent c rdamedia cr rdacarrier Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Contents -- Preface -- About the Author -- Chapter 1: The Basic Idea -- 1.1. Introduction -- Chapter 2: Buffon's Needle -- 2.1. Background -- 2.2. Computer Simulation -- 2.3. Features of the Simulation -- 2.4. Precision -- 2.5. Physical Simulation -- 2.6. Buffon's Formula -- 2.7. Exercises -- Chapter 3: Areas and Integrals -- 3.1. Temperature Profile -- 3.2. Simulation -- 3.3. Sample Mean Method -- 3.4. Higher Dimensions -- 3.5. Exercises -- Chapter 4: Thermal Radiation -- 4.1. Radiation View Factor -- 4.2. Simulation 4.3. Precision -- 4.4. Exercises -- Chapter 5: Bending Beams -- 5.1. Neutral Axis Offset -- 5.2. Simulation -- 5.3. Precision -- 5.4. Exercises -- Chapter 6: Torus Segment -- 6.1. Volume of a Segment of Torus -- 6.2. Simulation -- 6.3. Precision -- 6.4. Exercises -- Chapter 7: Radiation Shielding -- 7.1. Diffusion -- 7.2. Gamma-Ray Shielding -- 7.3. Build-up Factor and Energy Distribution -- 7.4. Simulation -- 7.5. Build-up Factors -- 7.6. Exercises -- Chapter 8: Stressed Cylinder -- 8.1. Buckling Probability -- 8.2. Simulation -- 8.3. Precision -- 8.4. Wilks' Method -- 8.5. Exercises Chapter 9: Linear Resistive Networks -- 9.1. Circuit Analysis by Random Walk -- 9.2. Single-Node Simulation -- 9.3. Unit-Resistance Cube Simulation -- 9.4. Heat Conduction Simulation -- 9.5. Exercises -- Chapter 10: Magnetic Phase Transitions -- 10.1. Ising Spin Model -- 10.2. Physical Properties -- 10.3. The Gibbs and Metropolis Algorithms -- 10.4. Simulation -- 10.5. Exercises -- Chapter 11: Polymer Chains -- 11.1. Polymers -- 11.2. Simulation -- 11.3. Precision -- 11.4. Exercises -- Chapter 12: Solutions To Selected Exercises -- 12.1. Exercise 2.7.4 -- 12.2. Exercise 3.5.2 12.3. Exercise 4.4.1 -- 12.4. Exercise 5.4.2 -- 12.5. Exercise 6.4.2 -- 12.6. Exercise 7.6.2 -- 12.7. Exercise 8.4.2 -- 12.8. Exercise 9.5.1 -- 12.9. Exercise 10.5.3 -- 12.10. Exercise 11.4.3 -- Appendix A: Random Numbers -- A.1. Introduction -- A.2. Uniformly Distributed Random Numbers -- A.3. Normally Distributed Random Numbers -- Appendix B: Variance Reduction -- B.1. Introduction -- B.2. Importance Weighting -- B.3. Antithetic Variates -- B.4. Control Variates -- Index NumPy (DE-588)1192378229 gnd rswk-swf Monte-Carlo-Simulation (DE-588)4240945-7 gnd rswk-swf Unsicherheitsquantifizierung (DE-588)1283264927 gnd rswk-swf Numerische Integration (DE-588)4172168-8 gnd rswk-swf Monte-Carlo-Simulation (DE-588)4240945-7 s Numerische Integration (DE-588)4172168-8 s Unsicherheitsquantifizierung (DE-588)1283264927 s NumPy (DE-588)1192378229 s DE-604 Erscheint auch als Druck-Ausgabe, hbk 978-1-032-28077-6 Erscheint auch als Druck-Ausgabe, pbk 978-1-032-28080-6 https://doi.org/10.1201/9781003295235 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Stevens, Alan Monte-Carlo simulation an introduction for engineers and scientists Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Contents -- Preface -- About the Author -- Chapter 1: The Basic Idea -- 1.1. Introduction -- Chapter 2: Buffon's Needle -- 2.1. Background -- 2.2. Computer Simulation -- 2.3. Features of the Simulation -- 2.4. Precision -- 2.5. Physical Simulation -- 2.6. Buffon's Formula -- 2.7. Exercises -- Chapter 3: Areas and Integrals -- 3.1. Temperature Profile -- 3.2. Simulation -- 3.3. Sample Mean Method -- 3.4. Higher Dimensions -- 3.5. Exercises -- Chapter 4: Thermal Radiation -- 4.1. Radiation View Factor -- 4.2. Simulation 4.3. Precision -- 4.4. Exercises -- Chapter 5: Bending Beams -- 5.1. Neutral Axis Offset -- 5.2. Simulation -- 5.3. Precision -- 5.4. Exercises -- Chapter 6: Torus Segment -- 6.1. Volume of a Segment of Torus -- 6.2. Simulation -- 6.3. Precision -- 6.4. Exercises -- Chapter 7: Radiation Shielding -- 7.1. Diffusion -- 7.2. Gamma-Ray Shielding -- 7.3. Build-up Factor and Energy Distribution -- 7.4. Simulation -- 7.5. Build-up Factors -- 7.6. Exercises -- Chapter 8: Stressed Cylinder -- 8.1. Buckling Probability -- 8.2. Simulation -- 8.3. Precision -- 8.4. Wilks' Method -- 8.5. Exercises Chapter 9: Linear Resistive Networks -- 9.1. Circuit Analysis by Random Walk -- 9.2. Single-Node Simulation -- 9.3. Unit-Resistance Cube Simulation -- 9.4. Heat Conduction Simulation -- 9.5. Exercises -- Chapter 10: Magnetic Phase Transitions -- 10.1. Ising Spin Model -- 10.2. Physical Properties -- 10.3. The Gibbs and Metropolis Algorithms -- 10.4. Simulation -- 10.5. Exercises -- Chapter 11: Polymer Chains -- 11.1. Polymers -- 11.2. Simulation -- 11.3. Precision -- 11.4. Exercises -- Chapter 12: Solutions To Selected Exercises -- 12.1. Exercise 2.7.4 -- 12.2. Exercise 3.5.2 12.3. Exercise 4.4.1 -- 12.4. Exercise 5.4.2 -- 12.5. Exercise 6.4.2 -- 12.6. Exercise 7.6.2 -- 12.7. Exercise 8.4.2 -- 12.8. Exercise 9.5.1 -- 12.9. Exercise 10.5.3 -- 12.10. Exercise 11.4.3 -- Appendix A: Random Numbers -- A.1. Introduction -- A.2. Uniformly Distributed Random Numbers -- A.3. Normally Distributed Random Numbers -- Appendix B: Variance Reduction -- B.1. Introduction -- B.2. Importance Weighting -- B.3. Antithetic Variates -- B.4. Control Variates -- Index NumPy (DE-588)1192378229 gnd Monte-Carlo-Simulation (DE-588)4240945-7 gnd Unsicherheitsquantifizierung (DE-588)1283264927 gnd Numerische Integration (DE-588)4172168-8 gnd |
| subject_GND | (DE-588)1192378229 (DE-588)4240945-7 (DE-588)1283264927 (DE-588)4172168-8 |
| title | Monte-Carlo simulation an introduction for engineers and scientists |
| title_auth | Monte-Carlo simulation an introduction for engineers and scientists |
| title_exact_search | Monte-Carlo simulation an introduction for engineers and scientists |
| title_exact_search_txtP | Monte-Carlo simulation an introduction for engineers and scientists |
| title_full | Monte-Carlo simulation an introduction for engineers and scientists Alan Stevens |
| title_fullStr | Monte-Carlo simulation an introduction for engineers and scientists Alan Stevens |
| title_full_unstemmed | Monte-Carlo simulation an introduction for engineers and scientists Alan Stevens |
| title_short | Monte-Carlo simulation |
| title_sort | monte carlo simulation an introduction for engineers and scientists |
| title_sub | an introduction for engineers and scientists |
| topic | NumPy (DE-588)1192378229 gnd Monte-Carlo-Simulation (DE-588)4240945-7 gnd Unsicherheitsquantifizierung (DE-588)1283264927 gnd Numerische Integration (DE-588)4172168-8 gnd |
| topic_facet | NumPy Monte-Carlo-Simulation Unsicherheitsquantifizierung Numerische Integration |
| url | https://doi.org/10.1201/9781003295235 |
| work_keys_str_mv | AT stevensalan montecarlosimulationanintroductionforengineersandscientists |