On the Use of Wavelet Expansions in the Method of Moments

IEEE Transactions on Antennas and Propagation

Volumn 41, Issue 5, 1993, Pages 610-619

  Steinberg, Ben Zion ^a   Leviatan, Yehuda ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

MATRIX ALGEBRA; NUMERICAL ANALYSIS;

METHOD OF MOMENTS; WAVELET EXPANSIONS;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 0027601724     PISSN: 0018926X     EISSN: 15582221     Source Type: Journal    
DOI: 10.1109/8.222280     Document Type: Article

References (11)

1. A.J. Poggio and E.K. Miller, “Integral equation solutions of three-dimensional scattering problems,” in Computer Techniques for Electromagnetics, R. Mittra, Ed. Oxford: Pergamon, 1973, ch. 4.
2. R.F. Harrington, Field Computation by Moment Methods. New York: Macmillan, 1968.
3. B.Z. Steinberg and Y. Leviatan, “On the use of wavelet expansions in the method of moments,” in Proc. Progress in Electromagnetics Res. Symp. (PIERS), July 1991, p. 766.
4. S.G. Mallat, “A theory for multiresolution signal decomposition: The wavelet representation,” IEEE Trans. Pattern Anal. Mach. Intell., vol. 11, pp. 674–693, July 1989.
5. I. Daubechies, “Orthonormal bases of compactly supported wavelets,” Commun. Pure Appl. Math., vol. 41, pp. 909–996, Nov. 1988.
6. G. Beylkin, R. Coifman, and V. Rokhlin, “Fast wavelet transforms and numerical algorithms I,” Commun. Pure Appl. Math., vol. 44, pp. 141–183, 1991.
7. B.K. Alpert, “Wavelets and other bases for fast numerical linear algebra,” in Wavelets: A Tutorial in Theory and Applications, C.K. Chui, Ed. New York: Academic Press, 1992.
8. S. Jaffard and Ph. Laurencot, “Orthonormal wavelets, analysis of operators, and applications to numerical analysis,” in Wavelets; A Tutorial in Theory and Applications, C.K. Chui, Ed. New York: Academic Press, 1992.
9. I. Daubechies, Ten Lectures on Wavelets (CBMS-NSF Series in Applied Mathematics). Philadelphia: SIAM Publ., 1992.
10. Y. Meyer, “Ondelettes sur l'intervalle,” Rev. Math. Iberoamer., to be published.
11. P. Auscher, “Wavelets with boundary conditions on the interval,” in Wavelets: A Tutorial in Theory and Applications, C.K. Chui, Ed. New York: Academic Press, 1992.