Handbook Of Stochastic Methods For Physics Chemistry And The Natural Sciences
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Author | : Crispin W. Gardiner |
Publisher | : Springer |
Total Pages | : 470 |
Release | : 1985 |
Genre | : Mathematics |
ISBN | : |
The handbook covers systematically and in simple language the foundations of Markov systems, stochastic differential equations, Fokker-Planck equations, approximation methods, chemical master equations and quantum-mechanical Markov processes. Strong emphasis is placed on systematic approximation methods for solving problems. Stochastic adiabatic elimination is newly formulated. The book contains the 'folklore' of stochastic methods in systematic form, and is suitable for use as a reference work. In this second edition extra material has been added with recent progress in stochastic methods taken into account.
Author | : Crispin W. Gardiner |
Publisher | : Springer Verlag |
Total Pages | : 442 |
Release | : 1985-01-01 |
Genre | : Mathematics |
ISBN | : 9783540616344 |
Author | : Crispin Gardiner |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 1985 |
Genre | : Science |
ISBN | : 9783662024522 |
In the third edition of this classic the chapter on quantum Marcov processes has been replaced by a chapter on numerical treatment of stochastic differential equations to make the book even more valuable for practitioners.
Author | : Crispin Gardiner |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2010-10-19 |
Genre | : Science |
ISBN | : 9783642089626 |
In the third edition of this classic the chapter on quantum Marcov processes has been replaced by a chapter on numerical treatment of stochastic differential equations to make the book even more valuable for practitioners.
Author | : Handbook |
Publisher | : |
Total Pages | : 0 |
Release | : |
Genre | : |
ISBN | : |
Author | : Grigorios A. Pavliotis |
Publisher | : Springer |
Total Pages | : 345 |
Release | : 2014-11-19 |
Genre | : Mathematics |
ISBN | : 1493913239 |
This book presents various results and techniques from the theory of stochastic processes that are useful in the study of stochastic problems in the natural sciences. The main focus is analytical methods, although numerical methods and statistical inference methodologies for studying diffusion processes are also presented. The goal is the development of techniques that are applicable to a wide variety of stochastic models that appear in physics, chemistry and other natural sciences. Applications such as stochastic resonance, Brownian motion in periodic potentials and Brownian motors are studied and the connection between diffusion processes and time-dependent statistical mechanics is elucidated. The book contains a large number of illustrations, examples, and exercises. It will be useful for graduate-level courses on stochastic processes for students in applied mathematics, physics and engineering. Many of the topics covered in this book (reversible diffusions, convergence to equilibrium for diffusion processes, inference methods for stochastic differential equations, derivation of the generalized Langevin equation, exit time problems) cannot be easily found in textbook form and will be useful to both researchers and students interested in the applications of stochastic processes.
Author | : Christopher P. Fall |
Publisher | : Springer Science & Business Media |
Total Pages | : 484 |
Release | : 2007-06-04 |
Genre | : Science |
ISBN | : 0387224599 |
This textbook provides an introduction to dynamic modeling in molecular cell biology, taking a computational and intuitive approach. Detailed illustrations, examples, and exercises are included throughout the text. Appendices containing mathematical and computational techniques are provided as a reference tool.
Author | : |
Publisher | : |
Total Pages | : 442 |
Release | : 1985 |
Genre | : |
ISBN | : |
Author | : Sergio Chibbaro |
Publisher | : Springer Science & Business Media |
Total Pages | : 175 |
Release | : 2013-09-05 |
Genre | : Technology & Engineering |
ISBN | : 3709116228 |
Since their first introduction in natural sciences through the work of Einstein on Brownian motion in 1905 and further works, in particular by Langevin, Smoluchowski and others, stochastic processes have been used in several areas of science and technology. For example, they have been applied in chemical studies, or in fluid turbulence and for combustion and reactive flows. The articles in this book provide a general and unified framework in which stochastic processes are presented as modeling tools for various issues in engineering, physics and chemistry, with particular focus on fluid mechanics and notably dispersed two-phase flows. The aim is to develop what can referred to as stochastic modeling for a whole range of applications.
Author | : Alexandre J. Chorin |
Publisher | : Springer Science & Business Media |
Total Pages | : 193 |
Release | : 2014-01-21 |
Genre | : Mathematics |
ISBN | : 1461469805 |
"Stochastic Tools in Mathematics and Science" covers basic stochastic tools used in physics, chemistry, engineering and the life sciences. The topics covered include conditional expectations, stochastic processes, Brownian motion and its relation to partial differential equations, Langevin equations, the Liouville and Fokker-Planck equations, as well as Markov chain Monte Carlo algorithms, renormalization, basic statistical mechanics, and generalized Langevin equations and the Mori-Zwanzig formalism. The applications include sampling algorithms, data assimilation, prediction from partial data, spectral analysis, and turbulence. The book is based on lecture notes from a class that has attracted graduate and advanced undergraduate students from mathematics and from many other science departments at the University of California, Berkeley. Each chapter is followed by exercises. The book will be useful for scientists and engineers working in a wide range of fields and applications. For this new edition the material has been thoroughly reorganized and updated, and new sections on scaling, sampling, filtering and data assimilation, based on recent research, have been added. There are additional figures and exercises. Review of earlier edition: "This is an excellent concise textbook which can be used for self-study by graduate and advanced undergraduate students and as a recommended textbook for an introductory course on probabilistic tools in science." Mathematical Reviews, 2006