Wavelet Methods — Elliptic Boundary Value Problems and Control Problems [electronic resource] /

This research monograph deals with applying recently developed wavelet methods to stationary operator equations involving elliptic differential equations. Particular emphasis is placed on the treatment of the boundary and the boundary conditions. While wavelets have since their discovery mainly been applied to problems in signal analysis and image compression, their analytic power has also been recognized for problems in Numerical Analysis. Together with the functional analytic framework for differential and integral quations, one has been able to conceptually discuss questions which are relevant for the fast numerical solution of such problems: preconditioning, stable discretizations, compression of full matrices, evaluation of difficult norms, and adaptive refinements. The present text focusses on wavelet methods for elliptic boundary value problems and control problems to show the conceptual strengths of wavelet techniques.

Bibliographic Details

Main Authors:	Kunoth, Angela. author., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Wiesbaden : Vieweg+Teubner Verlag, 2001
Subjects:	Mathematics., Mathematical analysis., Analysis (Mathematics)., Fourier analysis., Applied mathematics., Engineering mathematics., Fourier Analysis., Analysis., Applications of Mathematics.,
Online Access:	http://dx.doi.org/10.1007/978-3-322-80027-5
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