Asymptotics of Elliptic and Parabolic PDEs
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portes grátis
Asymptotics of Elliptic and Parabolic PDEs
and their Applications in Statistical Physics, Computational Neuroscience, and Biophysics
Holcman, David; Schuss, Zeev
Springer International Publishing AG
06/2018
444
Dura
Inglês
9783319768946
15 a 20 dias
6922
Descrição não disponível.
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
boundary value problems;Poisson-Nernst-Planck;extreme statistics;narrow escape;first passage times;asymptotic formula;partial differential equations;WKB;eigenvalues;matched asymptotics;non-self adjoint operators;short-time asymptotics;long-time asymptotics;Green's functions;Neumann's function;applied conformal transformation;Eikonal equation;Ray method;Helmholtz equation;integral equations
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
boundary value problems;Poisson-Nernst-Planck;extreme statistics;narrow escape;first passage times;asymptotic formula;partial differential equations;WKB;eigenvalues;matched asymptotics;non-self adjoint operators;short-time asymptotics;long-time asymptotics;Green's functions;Neumann's function;applied conformal transformation;Eikonal equation;Ray method;Helmholtz equation;integral equations
