• Produktbild: Stochastic Modeling of Microstructures
  • Produktbild: Stochastic Modeling of Microstructures

Stochastic Modeling of Microstructures

48,99 €

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

23.10.2012

Abbildungen

IX, 270 p.

Verlag

Birkhäuser Boston

Seitenzahl

270

Maße (L/B/H)

23,5/15,5/1,6 cm

Gewicht

435 g

Auflage

Softcover reprint of the original 1st edition 2001

Sprache

Englisch

ISBN

978-1-4612-6622-8

Beschreibung

Rezension

"It is the objective of this book to provide the basic principles and results of the theory of random fields (both continuous and discrete) with special emphasis on methods that are important for the modeling of real random material microstructures…. The book may be viewed as a comprehensive introduction to the field of stochastic modeling of material microstructures and will be useful for researchers and professionals in material modeling, engineering and in applied mathematics in general."
—Applications of Mathem
atics

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

23.10.2012

Abbildungen

IX, 270 p.

Verlag

Birkhäuser Boston

Seitenzahl

270

Maße (L/B/H)

23,5/15,5/1,6 cm

Gewicht

435 g

Auflage

Softcover reprint of the original 1st edition 2001

Sprache

Englisch

ISBN

978-1-4612-6622-8

Herstelleradresse

Springer Nature c/o IBS
Benzstrasse 21
48619 Heek
DE

Email: Tanja.Keller@springer.com

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  • Produktbild: Stochastic Modeling of Microstructures
  • Produktbild: Stochastic Modeling of Microstructures
  • 1. Probability and Random Variables: A Short Résumé.- 1.1 Basic Concepts.- 1.2 Some Probability Distributions.- 1.3 Convergence of Sequences of Random Variables.- 1.4 Stochastic Processes.- 2. Continuous Random Fields.- 2.1 Basic Concepts.- 2.2 Homogeneous Random Fields.- 2.3 Isotropic Random Fields.- 2.4 Locally Homogeneous and Isotropic Random Fields.- 2.5 Space-Time Random Fields.- 2.6 Vector-Valued Random Fields.- 2.7 Tensor-Valued Random Fields.- 2.8 Markov Random Fields.- 2.9 Fields Governed by Stochastic Equations.- 3. Random Point Fields.- 3.1 Basic Properties.- 3.2 Poisson Random Fields.- 3.3 Boolean Random Fields.- 3.4 Markov and Gibbs Fields.- 3.5 Random Configurations of Objects.- 3.6 Random Set Patterns.- 4. Statistical Inference.- 4.1 Introductory Remarks.- 4.2 Estimation of Mean and Covariance.- 4.3 Estimation of Spectral Density.- 4.4 Prediction Problems: Kriging.- 4.5 Spatial Sampling Design.- 4.6 Inference for Point Fields.- 4.7 Stereology.- 4.8 Simulation and Remarks.- 5. Material Media Microstructure: Modeling Issues.- 5.1 Basic Characteristics of Microstructure.- 5.2 Averaging Procedures.- 5.3 Homogenization and Smoothing.- 5.4 Random Porous Media.- 5.5 Spatial Randomness in Solid Materials.- 6. Physical Phenomena in Random Microstructures: Selected Applications.- 6.1 Introductory Remarks.- 6.2 Wave Propagation.- 6.3 Pollution Transport in Groundwater.- 6.4 Deformation of Random Elastic Materials.- 6.5 Random Microstructure and Fracture.- 6.6 Other Problems and Remarks.- References.- Author Index.