[PDF] Proceedings Of The Euroconference On Nonlinear Klein Gordon And Schrodinger Systems Theory And Applications eBook

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Nonlinear Klein-gordon And Schrodinger Systems: Theory And Applications

Author : Luis Vazquez
Publisher : World Scientific
Page : 382 pages
File Size : 29,65 MB
Release : 1996-06-20
Category :
ISBN : 981454809X

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This is the first of two Euroconferences aimed at addressing the issues of Nonlinearity and Disorder. The 1995 Euroconference was devoted to the mathematical, numerical and experimental studies related to the Klein-Gordon and Schrödinger systems. The Euroconference was organized around main lectures in each area to introduce the main concepts and stimulate discussions. The mathematical studies covered the functional anlaysis and stochastic techniques applied to the general Klein-Gordon and Schrödinger wave equations. Also a panoramic view of the numerical schemes was presented to simulate the above equations, as well as an overview of the applications of such systems in the areas of condensed matter, optical physics, new materials and biophysics. Special attention was devoted to the discrete Schrödinger and Klein-Gordon systems and their applications.

High-dimensional Nonlinear Diffusion Stochastic Processes

Author : Yevgeny Mamontov
Publisher : World Scientific
Page : 332 pages
File Size : 30,94 MB
Release : 2001
Category : Mathematics
ISBN : 9789812810540

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Annotation This book is one of the first few devoted to high-dimensional diffusion stochastic processes with nonlinear coefficients. These processes are closely associated with large systems of Ito's stochastic differential equations and with discretized-in-the-parameter versions of Ito's stochastic differential equations that are nonlocally dependent on the parameter. The latter models include Ito's stochastic integro-differential, partial differential and partial integro-differential equations.The book presents the new analytical treatment which can serve as the basis of a combined, analytical -- numerical approach to greater computational efficiency. Some examples of the modelling of noise in semiconductor devices are provided