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Can I read Wavelet moment method for the Cauchy problem for the Helmholtz equation on EtoBox?
Wavelet moment method for the Cauchy problem for the Helmholtz equation by Teresa Regińska; Andrzej Wakulicz is a Mathematics article available to read on EtoBox.
What is Wavelet moment method for the Cauchy problem for the Helmholtz equation about?
The paper is concerned with the problem of reconstruction of acoustic or electromagnetic field from inexact data given on an open part of the boundary of a given domain. A regularization concept is presented for the moment problem that is equivalent to a Cauchy problem for the Helmholtz equation. A method of regularization by projection with application of the Meyer wavelet subspaces is introduced and analyzed. The derived formula, describing the projection level in terms of the error bound of the inexact Cauchy data, allows us to prove the convergence and stability of the method.
Who reads Wavelet moment method for the Cauchy problem for the Helmholtz equation?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Teresa Regińska; Andrzej Wakulicz
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0377-0427)
- Published
- 2009
- Language
- EN
- Field
- Mathematics (Physical Sciences)