Asymptotics of Elliptic and Parabolic PDEs / Applied Mathematical Sciences Bd.199 (PDF)
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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 in deriving solutions to real-world problems from first principles.Zeev Schuss is an applied mathematician who significantly shaped the field of modern asymptotics in PDEs with applications to first passage time problems. Methods developed have been applied to various fields, including signal processing, statistical physics, and molecular biophysics.
- Autoren: David Holcman , Zeev Schuss
- 2018, 1st ed. 2018, 444 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3319768956
- ISBN-13: 9783319768953
- Erscheinungsdatum: 25.05.2018
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- Größe: 12 MB
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