Adaptive Stochastic Methods : In Computational Mathematics and Mechanics
Saved in:
| Title: | Adaptive Stochastic Methods : In Computational Mathematics and Mechanics |
|---|---|
| Description: | 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 |
| Authors: | Dmitry G. Arseniev, Vladimir M. Ivanov, Maxim L. Korenevsky |
| Resource Type: | eBook. |
| Subjects: | Stochastic processes |
| Categories: | MATHEMATICS / Numerical Analysis, MATHEMATICS / Differential Equations / General, SCIENCE / Physics / Mathematical & Computational, SCIENCE / Mechanics / General, TECHNOLOGY & ENGINEERING / Mechanical |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf – Type: ebook-epub Text: Availability: 0 |
|---|---|
| Header | DbId: nlebk DbLabel: eBook Collection (EBSCOhost) An: 1819047 RelevancyScore: 1084 AccessLevel: 6 PubType: eBook PubTypeId: ebook PreciseRelevancyScore: 1083.55249023438 |
| IllustrationInfo | |
| ImageInfo | – Size: thumb Target: https://rps2images.ebscohost.com/rpsweb/othumb?id=NL$1819047$PDF&s=r – Size: medium Target: https://rps2images.ebscohost.com/rpsweb/othumb?id=NL$1819047$PDF&s=d |
| Items | – Name: Title Label: Title Group: Ti Data: Adaptive Stochastic Methods : In Computational Mathematics and Mechanics – Name: Abstract Label: Description Group: Ab Data: 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 – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Dmitry+G%2E+Arseniev%22">Dmitry G. Arseniev</searchLink><br /><searchLink fieldCode="AR" term="%22Vladimir+M%2E+Ivanov%22">Vladimir M. Ivanov</searchLink><br /><searchLink fieldCode="AR" term="%22Maxim+L%2E+Korenevsky%22">Maxim L. Korenevsky</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Stochastic+processes%22">Stochastic processes</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Numerical+Analysis%22">MATHEMATICS / Numerical Analysis</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Differential+Equations+%2F+General%22">MATHEMATICS / Differential Equations / General</searchLink><br /><searchLink fieldCode="ZK" term="%22SCIENCE+%2F+Physics+%2F+Mathematical+%26+Computational%22">SCIENCE / Physics / Mathematical & Computational</searchLink><br /><searchLink fieldCode="ZK" term="%22SCIENCE+%2F+Mechanics+%2F+General%22">SCIENCE / Mechanics / General</searchLink><br /><searchLink fieldCode="ZK" term="%22TECHNOLOGY+%26+ENGINEERING+%2F+Mechanical%22">TECHNOLOGY & ENGINEERING / Mechanical</searchLink> |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=nlebk&AN=1819047 |
| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 519.22 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Stochastic processes Type: general Titles: – TitleFull: Adaptive Stochastic Methods : In Computational Mathematics and Mechanics Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Dmitry G. Arseniev – PersonEntity: Name: NameFull: Vladimir M. Ivanov – PersonEntity: Name: NameFull: Maxim L. Korenevsky – PersonEntity: Name: NameFull: Dmitry G. Arseniev – PersonEntity: Name: NameFull: Vladimir M. Ivanov – PersonEntity: Name: NameFull: Maxim L. Korenevsky IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2018 – D: 03 M: 12 Type: profile Y: 2021 Identifiers: – Type: isbn-print Value: 9783110553642 – Type: isbn-electronic Value: 9783110553673 – Type: isbn-electronic Value: 9783110554632 Titles: – TitleFull: Adaptive Stochastic Methods : In Computational Mathematics and Mechanics Type: main |
| ResultId | 1 |
