Asymptotics of Elliptic and Parabolic PDEs

Asymptotics of Elliptic and Parabolic PDEs
Author: David Holcman
Publisher: Springer
Total Pages: 456
Release: 2018-05-25
Genre: Mathematics
ISBN: 3319768956


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This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences. In more detail, the book presents the analytic methods and tools for approximating solutions of mixed boundary value problems, with particular emphasis on the narrow escape problem. Informed throughout by real-world applications, the book includes topics such as the Fokker-Planck equation, boundary layer analysis, WKB approximation, applications of spectral theory, as well as recent results in narrow escape theory. Numerical and stochastic aspects, including mean first passage time and extreme statistics, are discussed in detail and relevant applications are presented in parallel with the theory. Including background on the classical asymptotic theory of differential equations, this book is written for scientists of various backgrounds interested in deriving solutions to real-world problems from first principles.


Asymptotics of Elliptic and Parabolic PDEs
Language: en
Pages: 456
Authors: David Holcman
Categories: Mathematics
Type: BOOK - Published: 2018-05-25 - Publisher: Springer

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This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial dif
Regularity and Asymptotics for Strongly Nonlinear Parabolic Partial Differential Equations
Language: en
Pages: 186
Authors: Maxim Trokhimtchouk
Categories:
Type: BOOK - Published: 2009 - Publisher:

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Recent Advances on Elliptic and Parabolic Issues
Language: en
Pages: 302
Authors: Michel Chipot
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: World Scientific

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This volume is a collection of articles discussing the most recent advances on various topics in partial differential equations. Many important issues regarding
Elliptic And Parabolic Equations
Language: en
Pages: 425
Authors: Zhuoqun Wu
Categories: Mathematics
Type: BOOK - Published: 2006-10-17 - Publisher: World Scientific Publishing Company

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This book provides an introduction to elliptic and parabolic equations. While there are numerous monographs focusing separately on each kind of equations, there
Asymptotic Analysis and Singularities: Elliptic and parabolic PDEs and related problems
Language: en
Pages: 430
Authors: Hideo Kozono
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher:

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This volume is the proceedings of the 14th MSJ International Research Institute "Asymptotic Analysis and Singularity", which was held at Sendai, Japan in July 2