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Adaptive Stochastic Methods - In Computational Mathematics and Mechanics (Hardcover)
Loot Price: R4,930
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Adaptive Stochastic Methods - In Computational Mathematics and Mechanics (Hardcover)
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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 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 Part II: 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
General
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