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portada Asymptotics of Elliptic and Parabolic Pdes: And Their Applications in Statistical Physics, Computational Neuroscience, and Biophysics
Type
Physical Book
Author
Publisher
Language
English
Pages
444
Format
Paperback
Dimensions
23.4 x 15.6 x 2.4 cm
Weight
0.65 kg.
ISBN13
9783030083199
Categories

Asymptotics of Elliptic and Parabolic Pdes: And Their Applications in Statistical Physics, Computational Neuroscience, and Biophysics

David Holcman (Author) · Zeev Schuss (Author) · Springer · Paperback

Asymptotics of Elliptic and Parabolic Pdes: And Their Applications in Statistical Physics, Computational Neuroscience, and Biophysics - Holcman, David ; Schuss, Zeev

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Synopsis "Asymptotics of Elliptic and Parabolic Pdes: And Their Applications in Statistical Physics, Computational Neuroscience, and Biophysics"

Part I. Singular Perturbations of Elliptic Boundary Problems.- 1 Second-Order Elliptic Boundary Value Problems with a Small Leading Part.- 2 A Primer of Asymptotics for ODEs.- 3 Singular Perturbations in Higher Dimensions.- 4 Eigenvalues of a Non-self-adjoint Elliptic Operator.- 5 Short-time Asymptotics of the Heat Kernel.- Part II Mixed Boundary Conditions for Elliptic and Parabolic Equations.- 6 The Mixed Boundary Value Problem.- 7 THe Mixed Boundary Value Problem in R2.- 8 Narrow Escape in R3.- 9 Short-time Asymptotics of the Heat Kernel and Extreme Statistics of the NET.- 10 The Poisson-Nernst-Planck Equations in a Ball.- 11 Reconstruction of Surface Diffusion from Projected Data.- 12 Asymptotic Formulas in Molecular and Cellular Biology.- Bibliography.- Index.

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