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Asymptotics of Elliptic and Parabolic Pdes

And Their Applications in Statistical Physics, Computational Neuroscience, and Biophysics

David Holcman, Zeev Schuss
Livre relié | Anglais | Applied Mathematical Sciences | n° 199
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Description

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 inderiving solutions to real-world problems from first principles.

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Parties prenantes

Auteur(s) :
Editeur:

Contenu

Nombre de pages :
444
Langue:
Anglais
Collection :
Tome:
n° 199

Caractéristiques

EAN:
9783319768946
Date de parution :
06-06-18
Format:
Livre relié
Format numérique:
Genaaid
Dimensions :
156 mm x 234 mm
Poids :
830 g

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