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Asymptotics of Elliptic and Parabolic PDEs: and their Applications in Statistical Physics, Computational Neuroscience, and Biophysics: 199 (Applied Mathematical Sciences) - Hardcover
Inhaltsangabe
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.<P></P> <P>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.</P> 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.<P></P>
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Críticas
“The monograph under review deals with asymptotic methods for the construction of solutions to boundary value problems for partial differential equations arising in applications, as molecular and cellular biology and biophysics. ... The monograph is well written, interesting, and surely recommended to applied mathematicians, engineers, physicists, chemists, and neuroscientists interested into analytical methods for the asymptotic analysis of elliptic and parabolic PDEs of relevance in applications.” (Paolo Musolino, zbMATH 1402.35004, 2019)
Reseña del editor
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.„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
- VerlagSpringer
- Erscheinungsdatum2018
- ISBN 10 3319768948
- ISBN 13 9783319768946
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten470
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Asymptotics of Elliptic and Parabolic PDEs. and their Applications in Statistical Physics, Computational Neuroscience, and Biophysics.
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xxiii, 444 p. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. AMS, 199 Sprache: Englisch. Bestandsnummer des Verkäufers 42541HB
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Asymptotics of Elliptic and Parabolic PDEs
ISBN 10: 3319768948
ISBN 13: 9783319768946
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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 444 pp. Englisch. Bestandsnummer des Verkäufers 9783319768946
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Asymptotics of Elliptic and Parabolic PDEs: and their Applications in Statistical Physics, Computational Neuroscience, and Biophysics (Applied Mathematical Sciences (199))
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Asymptotics of Elliptic and Parabolic PDEs
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ISBN 10: 3319768948
ISBN 13: 9783319768946
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Gebunden. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Discusses asymptotic formulae in the context of the life sciencesPresents applications in molecular and cellular biology, biophysics, as well as computational neuroscienceContains over 100 figuresIncludes bibliographical notes. Bestandsnummer des Verkäufers 206520046
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Asymptotics of Elliptic and Parabolic PDEs : and their Applications in Statistical Physics, Computational Neuroscience, and Biophysics
ISBN 10: 3319768948
ISBN 13: 9783319768946
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 inderiving solutions to real-world problems from first principles. Bestandsnummer des Verkäufers 9783319768946
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Asymptotics of Elliptic and Parabolic PDEs : and their Applications in Statistical Physics, Computational Neuroscience, and Biophysics
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Asymptotics of Elliptic and Parabolic PDEs : and their Applications in Statistical Physics, Computational Neuroscience, and Biophysics
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Asymptotics of Elliptic and Parabolic PDEs : and their Applications in Statistical Physics, Computational Neuroscience, and Biophysics
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