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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)
Loot Price: R3,295
Discovery Miles 32 950
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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)
Series: Applied Mathematical Sciences, 199
Expected to ship within 10 - 15 working days
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Total price: R3,315
Discovery Miles: 33 150
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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 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.
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