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Adaptive Stochastic Methods: In Computational Mathematics and Mechanics
Contributor(s): Arseniev, Dmitry G. (Author), Ivanov, Vladimir M. (Author), Korenevsky, Maxim L. (Author)

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ISBN: 3110553643     ISBN-13: 9783110553642
Publisher: de Gruyter
OUR PRICE: $167.19  

Binding Type: Hardcover - See All Available Formats & Editions
Published: January 2018
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Additional Information
BISAC Categories:
- Mathematics | Numerical Analysis
- Science | Physics - Mathematical & Computational
- Mathematics | Differential Equations - General
Physical Information: 0.9" H x 6.7" W x 9.6" L (1.45 lbs) 290 pages
 
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Publisher 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
 
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