Asymptotics of Elliptic and Parabolic PDEs - and their Applications in Statistical Physics, Computational Neuroscience, and Biophysics (Paperback, Softcover reprint of the original 1st ed. 2018)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Applied Mathematical Sciences, 199
Release date:	2019
First published:	2018
Authors:	David Holcman • Zeev Schuss
Dimensions:	235 x 155 x 24mm (L x W x T)
Format:	Paperback
Pages:	444
Edition:	Softcover reprint of the original 1st ed. 2018
ISBN-13:	978-3-03-008319-9
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling Books > Science & Mathematics > Physics > Applied physics & special topics > Biophysics
LSN:	3-03-008319-5
Barcode:	9783030083199

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