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000839524 019__ $$a1038067998$$a1038399869$$a1040612843
000839524 020__ $$a9783319768953$$q(electronic book)
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000839524 0247_ $$a10.1007/978-3-319-76895-3$$2doi
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000839524 1001_ $$aHolcman, David,$$eauthor.
000839524 24510 $$aAsymptotics of elliptic and parabolic PDEs :$$band their Applications in Statistical Physics, Computational Neuroscience, and Biophysics /$$cby David Holcman, Zeev Schuss.
000839524 264_1 $$aCham, Switzerland :$$bSpringer,$$c2018.
000839524 300__ $$a1 online resource (xxiii, 444 pages) :$$billustrations.
000839524 336__ $$atext$$btxt$$2rdacontent
000839524 337__ $$acomputer$$bc$$2rdamedia
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000839524 4901_ $$aApplied Mathematical Sciences,$$x0066-5452 ;$$vvolume 199
000839524 506__ $$aAccess limited to authorized users.
000839524 520__ $$aThis 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.
000839524 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed May 31, 2018).
000839524 650_0 $$aDifferential equations, Elliptic$$xAsymptotic theory.
000839524 650_0 $$aDifferential equations, Partial$$xAsymptotic theory.
000839524 7001_ $$aSchuss, Zeev,$$d1937-$$eauthor.
000839524 77608 $$iPrint version: $$z3319768948$$z9783319768946$$w(OCoLC)1022084107
000839524 830_0 $$aApplied mathematical sciences (Springer-Verlag New York Inc.) ;$$vv. 199.
000839524 852__ $$bebk
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