Research Catalog

High-dimensional nonlinear diffusion stochastic processes : modelling for engineering applications

Title
High-dimensional nonlinear diffusion stochastic processes : modelling for engineering applications / Yevgeny Mamontov, Magnus Willander.
Author
Mamontov, Yevgeny, 1955-
Publication
Singapore ; River Edge, NJ : World Scientific, 2001.

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TextRequest in advance TA342 .M35 2001Off-site

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Details

Additional Authors
Willander, M
Description
xviii, 297 pages; 23 cm.
Series Statement
Series on advances in mathematics for applied sciences ; vol. 56
Uniform Title
Series on advances in mathematics for applied sciences ; v. 56.
Subject
  • Engineering > Mathematical models
  • Stochastic processes
  • Diffusion processes
  • Differential equations, Nonlinear
Bibliography (note)
  • Includes bibliographical references (and index.
Contents
  • Ch. 1. Introductory Chapter -- Ch. 2. Diffusion Processes -- Ch. 3. Invariant Diffusion Processes -- Ch. 4. Stationary Diffusion Processes -- Ch. 5. Ito's Stochastic Partial Differential Equations as Non-Markov Models Leading to High-Dimensional Diffusion Processes -- Ch. 6. Ito's Stochastic Partial Differential Equations for Electron Fluids in Semiconductors -- Ch. 7. Distinguishing Features of Engineering Applications -- Ch. 8. Analytical-Numerical Approach to Engineering Problems and Common Analytical Techniques -- App. A. Example of Markov Processes: Solutions of the Cauchy Problems for Ordinary Differential Equation System -- App. B. Signal-to-Noise Ratio -- App. C. Example of Application of Corollary 1.2: Nonlinear Friction and Unbounded Stationary Probability Density of the Particle Velocity in Uniform Fluid -- App. D. Proofs of the Theorems in Chapter 2 and Other Details -- App. E. Proofs of the Theorems in Chapter 4 --
  • App. F. Hidden Randomness in Nonrandom Equation for the Particle Concentration of Uniform Fluid and Chemical-Reaction/Generation-Recombination Noise -- App. G. Example: Eigenvalues and Eigenfunctions of the Linear Differential Operator Associated with a Bounded Domain in Three-Dimensional Space -- App. G. Resources for Engineering Parallel Computing under Windows 95.
ISBN
9810243855 (alk. paper)
LCCN
00053437
OCLC
  • ocm45283225
  • SCSB-4175826
Owning Institutions
Columbia University Libraries