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First Order Approximation of an Elliptic 3D Singular Perturbation Problem
Author(s) -
López José L.,
Sinusía Ester Pérez,
Temme Nico M.
Publication year - 2006
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/j.1467-9590.2006.00345.x
Subject(s) - mathematical analysis , mathematics , homoclinic orbit , saddle point , saddle , perturbation (astronomy) , singular perturbation , elliptic function , plane wave , generalization , physics , geometry , nonlinear system , bifurcation , mathematical optimization , quantum mechanics , optics
A three‐dimensional elliptic singular perturbation problem with discontinuous boundary values is considered. The solution of the problem is written in terms of a double integral. A saddle point analysis is used to obtain a first approximation, which is expressed in terms of a function that can be viewed as a generalization of the complementary error function.