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Coiflet interpolation and approximate solutions of elliptic partial differential equations
Author(s) -
Lin EnBing,
Zhou Xiaolin
Publication year - 1997
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/(sici)1098-2426(199707)13:4<303::aid-num1>3.0.co;2-p
Subject(s) - mathematics , partial differential equation , interpolation (computer graphics) , elliptic partial differential equation , galerkin method , mathematical analysis , integrable system , partial derivative , convergence (economics) , square integrable function , wavelet , finite element method , computer science , image (mathematics) , physics , artificial intelligence , thermodynamics , economic growth , economics
In this article, we prove a higher order interpolation result for square–integrable functions by using generalized coiflets. Convergence of approximation by using generalized coiflets is shown. Applications to wavelet–Galerkin approximation of elliptic partial differential equations and some numerical examples are also given. © 1997 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 13:303–320, 1997.