Asymptotics of Elliptic and Parabolic PDEs

and their Applications in Statistical Physics, Computational Neuroscience, and Biophysics de

,

Éditeur :

Springer


Collection :

Applied Mathematical Sciences

Paru le : 2018-05-25

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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.
Pages
444 pages
Collection
Applied Mathematical Sciences
Parution
2018-05-25
Marque
Springer
EAN papier
9783319768946
EAN PDF
9783319768953

Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
44
Taille du fichier
12677 Ko
Prix
116,04 €