Asymptotics of Elliptic and Parabolic PDEs

Released on by David Holcman
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  • Asymptotics of Elliptic and Parabolic PDEs Book Detail

  • Author : David Holcman
  • Release Date : 2018-05-25
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 456
  • ISBN 13 : 3319768956
  • File Size : 45,45 MB
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Asymptotics of Elliptic and Parabolic PDEs by David Holcman PDF Summary

Book 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 in deriving solutions to real-world problems from first principles.

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Asymptotics of Elliptic and Parabolic PDEs

Asymptotics of Elliptic and Parabolic PDEs

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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 dif

Elliptic And Parabolic Equations

Elliptic And Parabolic Equations

File Size : 14,14 MB
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This book provides an introduction to elliptic and parabolic equations. While there are numerous monographs focusing separately on each kind of equations, there