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Adaptive Stochastic Methods : In Computational Mathematics and Mechanics.

By: Contributor(s): Material type: TextTextPublisher: Berlin/Boston : Walter de Gruyter GmbH, 2018Copyright date: ©2018Edition: 1st edDescription: 1 online resource (290 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110554632
Subject(s): Genre/Form: Additional physical formats: Print version:: Adaptive Stochastic MethodsLOC classification:
  • QA274 .A774 2018
Online resources:
Contents:
Intro -- Preface -- Contents -- Introduction: Statistical Computing Algorithms as a Subject of Adaptive Control -- Part I: Evaluation of Integrals -- 1. Fundamentals of the Monte Carlo Method to Evaluate Definite Integrals -- 2. Sequential Monte Carlo Method and Adaptive Integration -- 3. Methods of Adaptive Integration Based on Piecewise Approximation -- 4. Methods of Adaptive Integration Based on Global Approximation -- 5. Numerical Experiments -- 6. Adaptive Importance Sampling Method Based on Piecewise Constant Approximation -- Part II: Solution of Integral Equations -- 7. Semi-Statistical Method of Solving Integral Equations Numerically -- 8. Problem of Vibration Conductivity -- 9. Problem on Ideal-Fluid Flow Around an Airfoil -- 10. First Basic Problem of Elasticity Theory -- 11. Second Basic Problem of Elasticity Theory -- 12. Projectional and Statistical Method of Solving Integral Equations Numerically -- Afterword -- Bibliography -- Index.
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Intro -- Preface -- Contents -- Introduction: Statistical Computing Algorithms as a Subject of Adaptive Control -- Part I: Evaluation of Integrals -- 1. Fundamentals of the Monte Carlo Method to Evaluate Definite Integrals -- 2. Sequential Monte Carlo Method and Adaptive Integration -- 3. Methods of Adaptive Integration Based on Piecewise Approximation -- 4. Methods of Adaptive Integration Based on Global Approximation -- 5. Numerical Experiments -- 6. Adaptive Importance Sampling Method Based on Piecewise Constant Approximation -- Part II: Solution of Integral Equations -- 7. Semi-Statistical Method of Solving Integral Equations Numerically -- 8. Problem of Vibration Conductivity -- 9. Problem on Ideal-Fluid Flow Around an Airfoil -- 10. First Basic Problem of Elasticity Theory -- 11. Second Basic Problem of Elasticity Theory -- 12. Projectional and Statistical Method of Solving Integral Equations Numerically -- Afterword -- Bibliography -- Index.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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