Adaptive stochastic methods :: in computational mathematics and mechanics /
"This monograph is devoted to developing adaptive stochastic methods of computational mathematics with the use of adaptively controlled computational procedures. We consider the base ideas of the algorithms, ways to synthesise them, and analyse their properties and efficiency while evaluating m...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston :
De Gruyter,
[2018]
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "This monograph is devoted to developing adaptive stochastic methods of computational mathematics with the use of adaptively controlled computational procedures. We consider the base ideas of the algorithms, ways to synthesise them, and analyse their properties and efficiency while evaluating multidimensional integrals and solving integral equations of the theory of elasticity and the theory of heat conduction. The key feature of the approaches and results presented in this book consists of a comprehensive analysis of mechanisms of utilisation of adaptive control in statistical evaluation procedures, which makes them converge much faster. This book is intended for all students of numerical methods, mathematical statistics, and methods of statistical simulation, as well as for specialists in the fields of computational mathematics and mechanics"--Page v |
| Beschreibung: | 1 online resource (290 pages) |
| Bibliographie: | Includes bibliographical references (pages 273-275) and index. |
| ISBN: | 9783110554632 3110554631 3110553643 9783110553642 3110553678 9783110554649 311055464X 9783110553673 |
Internformat
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| 245 | 1 | 0 | |a Adaptive stochastic methods : |b in computational mathematics and mechanics / |c Dmitry G. Arseniev, Vladimir M. Ivanov, Maxim L. Korenevsky. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2018] | |
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| 505 | 0 | 0 | |t Statistical Computing Algorithms as a Subject of Adaptive Control -- |t Evaluation of Integrals -- |t Fundamentals of the Monte Carlo Method to Evaluate Definite Integrals -- |t Sequential Monte Carlo Method and Adaptive Integration -- |t Methods of Adaptive Integration Based on Piecewise Approximation -- |t Methods of Adaptive Integration Based on Global Approximation -- |t Numerical Experiments -- |t Adaptive Importance Sampling Method Based on Piecewise Constant Approximation -- |t Solution of Integral Equations -- |t Semi-Statistical Method of Solving Integral Equations Numerically -- |t Problem of Vibration Conductivity -- |t Problem on Ideal-Fluid Flow Around an Airfoil -- |t First Basic Problem of Elasticity Theory -- |t Second Basic Problem of Elasticity Theory -- |t Projectional and Statistical Method of Solving Integral Equations Numerically. |
| 546 | |a In English. | ||
| 588 | 0 | |a Print version record. | |
| 504 | |a Includes bibliographical references (pages 273-275) and index. | ||
| 520 | |a "This monograph is devoted to developing adaptive stochastic methods of computational mathematics with the use of adaptively controlled computational procedures. We consider the base ideas of the algorithms, ways to synthesise them, and analyse their properties and efficiency while evaluating multidimensional integrals and solving integral equations of the theory of elasticity and the theory of heat conduction. The key feature of the approaches and results presented in this book consists of a comprehensive analysis of mechanisms of utilisation of adaptive control in statistical evaluation procedures, which makes them converge much faster. This book is intended for all students of numerical methods, mathematical statistics, and methods of statistical simulation, as well as for specialists in the fields of computational mathematics and mechanics"--Page v | ||
| 650 | 0 | |a Stochastic processes. |0 http://id.loc.gov/authorities/subjects/sh85128181 | |
| 650 | 6 | |a Processus stochastiques. | |
| 650 | 7 | |a MATHEMATICS |x Numerical Analysis. |2 bisacsh | |
| 650 | 7 | |a Stochastic processes |2 fast | |
| 700 | 1 | |a Ivanov, Vladimir M., |e author. | |
| 700 | 1 | |a Kolchin, Andrei V. |1 https://id.oclc.org/worldcat/entity/E39PCjBVM6VX747b4p4WxrP4YK |0 http://id.loc.gov/authorities/names/no2018129127 | |
| 700 | 1 | |a Korenevskiĭ, M. L. |q (Maksim Lʹvovich), |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjt8W4DVFQPxwTrk97f3Xq |0 http://id.loc.gov/authorities/names/n2009053925 | |
| 758 | |i has work: |a Adaptive stochastic methods in computational mathematics and mechanics (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGKW3D9FfprCFcHyTmHP33 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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| author | Arsenʹev, D. G. (Dmitriĭ Germanovich), 1963- Ivanov, Vladimir M. Korenevskiĭ, M. L. (Maksim Lʹvovich) |
| author2 | Kolchin, Andrei V. |
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| author_GND | http://id.loc.gov/authorities/names/no2018129127 http://id.loc.gov/authorities/names/n2009053925 |
| author_facet | Arsenʹev, D. G. (Dmitriĭ Germanovich), 1963- Ivanov, Vladimir M. Korenevskiĭ, M. L. (Maksim Lʹvovich) Kolchin, Andrei V. |
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| contents | Statistical Computing Algorithms as a Subject of Adaptive Control -- Evaluation of Integrals -- Fundamentals of the Monte Carlo Method to Evaluate Definite Integrals -- Sequential Monte Carlo Method and Adaptive Integration -- Methods of Adaptive Integration Based on Piecewise Approximation -- Methods of Adaptive Integration Based on Global Approximation -- Numerical Experiments -- Adaptive Importance Sampling Method Based on Piecewise Constant Approximation -- Solution of Integral Equations -- Semi-Statistical Method of Solving Integral Equations Numerically -- Problem of Vibration Conductivity -- Problem on Ideal-Fluid Flow Around an Airfoil -- First Basic Problem of Elasticity Theory -- Second Basic Problem of Elasticity Theory -- Projectional and Statistical Method of Solving Integral Equations Numerically. |
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| discipline | Mathematik |
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| indexdate | 2024-11-27T13:28:14Z |
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| publisher | De Gruyter, |
| record_format | marc |
| spelling | Arsenʹev, D. G. (Dmitriĭ Germanovich), 1963- author. https://id.oclc.org/worldcat/entity/E39PCjDpGJJyXtTCgJfc8YGwVK Adaptive stochastic methods : in computational mathematics and mechanics / Dmitry G. Arseniev, Vladimir M. Ivanov, Maxim L. Korenevsky. Berlin ; Boston : De Gruyter, [2018] ©2018 1 online resource (290 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file Russians lcdgt Statistical Computing Algorithms as a Subject of Adaptive Control -- Evaluation of Integrals -- Fundamentals of the Monte Carlo Method to Evaluate Definite Integrals -- Sequential Monte Carlo Method and Adaptive Integration -- Methods of Adaptive Integration Based on Piecewise Approximation -- Methods of Adaptive Integration Based on Global Approximation -- Numerical Experiments -- Adaptive Importance Sampling Method Based on Piecewise Constant Approximation -- Solution of Integral Equations -- Semi-Statistical Method of Solving Integral Equations Numerically -- Problem of Vibration Conductivity -- Problem on Ideal-Fluid Flow Around an Airfoil -- First Basic Problem of Elasticity Theory -- Second Basic Problem of Elasticity Theory -- Projectional and Statistical Method of Solving Integral Equations Numerically. In English. Print version record. Includes bibliographical references (pages 273-275) and index. "This monograph is devoted to developing adaptive stochastic methods of computational mathematics with the use of adaptively controlled computational procedures. We consider the base ideas of the algorithms, ways to synthesise them, and analyse their properties and efficiency while evaluating multidimensional integrals and solving integral equations of the theory of elasticity and the theory of heat conduction. The key feature of the approaches and results presented in this book consists of a comprehensive analysis of mechanisms of utilisation of adaptive control in statistical evaluation procedures, which makes them converge much faster. This book is intended for all students of numerical methods, mathematical statistics, and methods of statistical simulation, as well as for specialists in the fields of computational mathematics and mechanics"--Page v Stochastic processes. http://id.loc.gov/authorities/subjects/sh85128181 Processus stochastiques. MATHEMATICS Numerical Analysis. bisacsh Stochastic processes fast Ivanov, Vladimir M., author. Kolchin, Andrei V. https://id.oclc.org/worldcat/entity/E39PCjBVM6VX747b4p4WxrP4YK http://id.loc.gov/authorities/names/no2018129127 Korenevskiĭ, M. L. (Maksim Lʹvovich), author. https://id.oclc.org/worldcat/entity/E39PCjt8W4DVFQPxwTrk97f3Xq http://id.loc.gov/authorities/names/n2009053925 has work: Adaptive stochastic methods in computational mathematics and mechanics (Text) https://id.oclc.org/worldcat/entity/E39PCGKW3D9FfprCFcHyTmHP33 https://id.oclc.org/worldcat/ontology/hasWork Print version: 9783110554649 Print version: 9783110553673 Print version: 9783110553642 Print version: Arsenʹev, D.G. (Dmitriĭ Germanovich), 1963- Adaptive stochastic methods. Berlin ; Boston : De Gruyter, [2018] 9783110553642 (OCoLC)1020070491 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1819047 Volltext |
| spellingShingle | Arsenʹev, D. G. (Dmitriĭ Germanovich), 1963- Ivanov, Vladimir M. Korenevskiĭ, M. L. (Maksim Lʹvovich) Adaptive stochastic methods : in computational mathematics and mechanics / Statistical Computing Algorithms as a Subject of Adaptive Control -- Evaluation of Integrals -- Fundamentals of the Monte Carlo Method to Evaluate Definite Integrals -- Sequential Monte Carlo Method and Adaptive Integration -- Methods of Adaptive Integration Based on Piecewise Approximation -- Methods of Adaptive Integration Based on Global Approximation -- Numerical Experiments -- Adaptive Importance Sampling Method Based on Piecewise Constant Approximation -- Solution of Integral Equations -- Semi-Statistical Method of Solving Integral Equations Numerically -- Problem of Vibration Conductivity -- Problem on Ideal-Fluid Flow Around an Airfoil -- First Basic Problem of Elasticity Theory -- Second Basic Problem of Elasticity Theory -- Projectional and Statistical Method of Solving Integral Equations Numerically. Stochastic processes. http://id.loc.gov/authorities/subjects/sh85128181 Processus stochastiques. MATHEMATICS Numerical Analysis. bisacsh Stochastic processes fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85128181 |
| title | Adaptive stochastic methods : in computational mathematics and mechanics / |
| title_alt | Statistical Computing Algorithms as a Subject of Adaptive Control -- Evaluation of Integrals -- Fundamentals of the Monte Carlo Method to Evaluate Definite Integrals -- Sequential Monte Carlo Method and Adaptive Integration -- Methods of Adaptive Integration Based on Piecewise Approximation -- Methods of Adaptive Integration Based on Global Approximation -- Numerical Experiments -- Adaptive Importance Sampling Method Based on Piecewise Constant Approximation -- Solution of Integral Equations -- Semi-Statistical Method of Solving Integral Equations Numerically -- Problem of Vibration Conductivity -- Problem on Ideal-Fluid Flow Around an Airfoil -- First Basic Problem of Elasticity Theory -- Second Basic Problem of Elasticity Theory -- Projectional and Statistical Method of Solving Integral Equations Numerically. |
| title_auth | Adaptive stochastic methods : in computational mathematics and mechanics / |
| title_exact_search | Adaptive stochastic methods : in computational mathematics and mechanics / |
| title_full | Adaptive stochastic methods : in computational mathematics and mechanics / Dmitry G. Arseniev, Vladimir M. Ivanov, Maxim L. Korenevsky. |
| title_fullStr | Adaptive stochastic methods : in computational mathematics and mechanics / Dmitry G. Arseniev, Vladimir M. Ivanov, Maxim L. Korenevsky. |
| title_full_unstemmed | Adaptive stochastic methods : in computational mathematics and mechanics / Dmitry G. Arseniev, Vladimir M. Ivanov, Maxim L. Korenevsky. |
| title_short | Adaptive stochastic methods : |
| title_sort | adaptive stochastic methods in computational mathematics and mechanics |
| title_sub | in computational mathematics and mechanics / |
| topic | Stochastic processes. http://id.loc.gov/authorities/subjects/sh85128181 Processus stochastiques. MATHEMATICS Numerical Analysis. bisacsh Stochastic processes fast |
| topic_facet | Stochastic processes. Processus stochastiques. MATHEMATICS Numerical Analysis. Stochastic processes |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1819047 |
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