Asymptotics of Elliptic and Parabolic PDEs (eBook, PDF)

Asymptotics of Elliptic and Parabolic PDEs (eBook, PDF)

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

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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 ...

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