Description
Asymptotics of Elliptic and Parabolic PDEs, 1st ed. 2018
and their Applications in Statistical Physics, Computational Neuroscience, and Biophysics
Applied Mathematical Sciences Series, Vol. 199
Authors: Holcman David, Schuss Zeev
Language: EnglishKeywords
boundary value problems; Poisson-Nernst-Planck; extreme statistics; narrow escape; first passage times; asymptotic formula; partial differential equations; WKB; eigenvalues; matched asymptotics; non-self adjoint operators; short-time asymptotics; long-time asymptotics; Green’s functions; Neumann’s function; applied conformal transformation; Eikonal equation; Ray method; Helmholtz equation; integral equations
Approximative price 116.04 €
In Print (Delivery period: 15 days).
Add to cart the print on demand of Holcman David, Schuss ZeevPublication date: 01-2019
Support: Print on demand
116.04 €
In Print (Delivery period: 15 days).
Add to cart the print on demand of Holcman David, Schuss ZeevPublication date: 06-2018
Support: Print on demand
Description
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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.