Adaptive Stochastic Methods : : In Computational Mathematics and Mechanics / / Dmitry G. Arseniev, Vladimir M. Ivanov, Maxim L. Korenevsky.
This monograph develops adaptive stochastic methods in computational mathematics. The authors discuss the basic ideas of the algorithms and ways to analyze their properties and efficiency. Methods of evaluation of multidimensional integrals and solutions of integral equations are illustrated by mult...
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| Superior document: | Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 |
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2018] ©2018 |
| Year of Publication: | 2018 |
| Language: | English |
| Online Access: | |
| Physical Description: | 1 online resource (XII, 278 p.) |
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| 050 | 0 | 0 | |a QA274 |b .A78 2018 |
| 072 | 7 | |a MAT041000 |2 bisacsh | |
| 100 | 1 | |a Arseniev, Dmitry G., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 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] | |
| 264 | 4 | |c ©2018 | |
| 300 | |a 1 online resource (XII, 278 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t Introduction: Statistical Computing Algorithms as a Subject of Adaptive Control -- |t Part I: Evaluation of Integrals -- |t 1. Fundamentals of the Monte Carlo Method to Evaluate Definite Integrals -- |t 2. Sequential Monte Carlo Method and Adaptive Integration -- |t 3. Methods of Adaptive Integration Based on Piecewise Approximation -- |t 4. Methods of Adaptive Integration Based on Global Approximation -- |t 5. Numerical Experiments -- |t 6. Adaptive Importance Sampling Method Based on Piecewise Constant Approximation -- |t Part II: Solution of Integral Equations -- |t 7. Semi-Statistical Method of Solving Integral Equations Numerically -- |t 8. Problem of Vibration Conductivity -- |t 9. Problem on Ideal-Fluid Flow Around an Airfoil -- |t 10. First Basic Problem of Elasticity Theory -- |t 11. Second Basic Problem of Elasticity Theory -- |t 12. Projectional and Statistical Method of Solving Integral Equations Numerically -- |t Afterword -- |t Bibliography -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a This monograph develops adaptive stochastic methods in computational mathematics. The authors discuss the basic ideas of the algorithms and ways to analyze their properties and efficiency. Methods of evaluation of multidimensional integrals and solutions of integral equations are illustrated by multiple examples from mechanics, theory of elasticity, heat conduction and fluid dynamics. Contents Part I: Evaluation of IntegralsFundamentals of the Monte Carlo Method to Evaluate Definite IntegralsSequential Monte Carlo Method and Adaptive IntegrationMethods of Adaptive Integration Based on Piecewise ApproximationMethods of Adaptive Integration Based on Global ApproximationNumerical ExperimentsAdaptive Importance Sampling Method Based on Piecewise Constant Approximation Part II: Solution of Integral EquationsSemi-Statistical Method of Solving Integral Equations NumericallyProblem of Vibration ConductivityProblem on Ideal-Fluid Flow Around an AirfoilFirst Basic Problem of Elasticity TheorySecond Basic Problem of Elasticity TheoryProjectional and Statistical Method of Solving Integral Equations Numerically | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) | |
| 650 | 0 | |a Adaptive control systems. | |
| 650 | 0 | |a Computer science |x Mathematics. | |
| 650 | 0 | |a Monte Carlo method. | |
| 650 | 0 | |a Stochastic integrals. | |
| 650 | 0 | |a Stochastic processes. | |
| 650 | 4 | |a Adaptive Control. | |
| 650 | 4 | |a Computermathematik. | |
| 650 | 4 | |a Monte-Carlo-Integration. | |
| 650 | 7 | |a MATHEMATICS / Numerical Analysis. |2 bisacsh | |
| 700 | 1 | |a Ivanov, Vladimir M., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Kolchin, Andrei V. | |
| 700 | 1 | |a Korenevsky, Maxim L., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Plus eBook-Package 2018 |z 9783110719550 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2018 English |z 9783110604252 |
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| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2018 English |z 9783110604191 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2018 |z 9783110603194 |o ZDB-23-DMA |
| 776 | 0 | |c EPUB |z 9783110553673 | |
| 776 | 0 | |c print |z 9783110553642 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9783110554632 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783110554632 |
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