Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Stochastic Modelling and Applied Probability (SMAP, volume 58)
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Table of contents (15 chapters)
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From Microscopic Dynamics to Mesoscopic Kinematics
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Mesoscopic A: Stochastic Ordinary Differential Equations
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Mesoscopic B: Stochastic Partial Differential Equations
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Macroscopic: Deterministic Partial Differential Equations
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General Appendix
Keywords
About this book
Reviews
From the reviews:
"This book treats the transition from microscopic to macroscopic equations for particle systems. … Peter Kotelenez … has written a monograph in which he rigorously constructs the theory of correlated Brownian motion in interacting particle systems. … Researchers working on interacting particle systems and probability theory will definitely find this book very useful." (J. Dubbeldam, Kwantitatieve Methoden, Issue R11, 2008)
"This interesting book treats in detail stochastic partial differential equations (SPDEs) describing mass distribution of particles. The book introduces in an essentially self-contained manner the author’s research on the evolution of large particles interacting with an environment consisting, for instance, of small particles. … To help the reader, the book devotes four of the fourteen chapters to the more lengthy proofs of some theorems. … the reviewer recommends this book to any researcher interested in SPDEs." (Carlos M. Mora González, Mathematical Reviews, Issue 2009 h)
"The monography under review presents mathematical models for physical dynamical systems of particle and mass evolution on different levels … . Extremely helpful are the excellent summaries at the beginning of each chapter. … This monography is a highly impressive result of many years of concise scientific studies on SODEs, SPDEs and mathematical physics. I warmly recommend this book for scientific and personal enlightenment to graduate students … as well as to mathematical scientists in mathematical physics, theoretical physics and mathematical biology." (Michael Högele, Zentralblatt MATH, Vol. 1159, 2009)
Authors and Affiliations
Bibliographic Information
Book Title: Stochastic Ordinary and Stochastic Partial Differential Equations
Book Subtitle: Transition from Microscopic to Macroscopic Equations
Authors: Peter Kotelenez
Series Title: Stochastic Modelling and Applied Probability
DOI: https://doi.org/10.1007/978-0-387-74317-2
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2008
Hardcover ISBN: 978-0-387-74316-5Published: 17 December 2007
Softcover ISBN: 978-1-4899-8658-0Published: 18 September 2014
eBook ISBN: 978-0-387-74317-2Published: 05 December 2007
Series ISSN: 0172-4568
Series E-ISSN: 2197-439X
Edition Number: 1
Number of Pages: X, 459
Topics: Analysis, Probability Theory and Stochastic Processes, Mathematical Methods in Physics