Asymptotics of Elliptic and Parabolic PDEs

Name: Asymptotics of Elliptic and Parabolic PDEs
SKU: 30326658
Price: 341.00 NZD
Availability: InStock

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

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Format:

Paperback / softback

Series:

Applied Mathematical Sciences,

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$341.00

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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.

Author Biography:

David Holcman is an applied mathematician and computational biologist. He developed mathematical modeling and simulations of molecular dynamics in micro-compartments in cell biology using stochastic processes and PDEs. He has derived physical principles of physiology at various scales, including diffusion laws in dendritic spines, potential wells hidden in super-resolution single particle trajectories or first looping time in polymer models. Together with Zeev Schuss, he developed the Narrow escape and Dire strait time theory. Zeev Schuss is an applied mathematician who significantly shaped the field of modern asymptotics in PDEs with applications to first passage time problems. Methods developed have been applied to various fields, including signal processing, statistical physics, and molecular biophysics.

Release date NZ

January 5th, 2019

Author

Audience

Professional & Vocational

Edition

Softcover reprint of the original 1st ed. 2018

Illustrations

56 Illustrations, color; 47 Illustrations, black and white; XXIII, 444 p. 103 illus., 56 illus. in color.

Pages

444

Series

Applied Mathematical Sciences,

ISBN-13

9783030083199

Product ID

30326658

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