On Solving First-Kind Integral Equations Using Wavelets on a Bounded Interval

IEEE Transactions on Antennas and Propagation

Volumn 43, Issue 6, 1995, Pages 614-622

  Goswami, Jaideva C ^a   Chan, Andrew K ^a   Chui, Charles K ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CYLINDRICAL ANTENNAS; ELECTROMAGNETIC WAVE SCATTERING; FUNCTIONS; MATHEMATICAL MODELS; NUMERICAL METHODS; WAVELET TRANSFORMS;

FIRST KIND INTEGRAL EQUATIONS; METHOD OF MOMENTS;

INTEGRAL EQUATIONS;

EID: 0029323498     PISSN: 0018926X     EISSN: 15582221     Source Type: Journal    
DOI: 10.1109/8.387178     Document Type: Article

References (30)

1. G. M. Wing, A Primer on Integral Equations of the First Kind. Philadelphia: SIAM, 1991.
2. G. Beylkin, R. Coifman, and V. Rokhlin, “Fast wavelet transform and numerical algorithms I,” Comm. Pure Appl. Math., vol. 44, pp. 141-183, 1991.
3. B. K. Alpert, G. Beylkin, R. Coifman, and V. Rokhlin, “Wavelet-like bases for the fast solution of second-kind integral equations,” SIAM J. Sci. Comp., vol. 14, pp. 159-184, Jan. 1993.
4. B. Z. Steinberg and Y. Leviatan, “On the use of wavelet expansions in method of moments,” IEEE Trans. Antennas Propagat., vol. 41, no. 5, pp. 610-619, May 1993.
5. B. Z. Steinberg and Y. Leviatan, “Periodic wavelet expansions for analysis of scattering from metallic cylinders,” IEEE Antennas Propagat. Soc. Symp., pp. 20-23, June 1994.
6. B. Z. Steinberg, “A multiresolution theory of scattering and diffraction,” Wave Motion, vol. 19, pp. 213-232, 1994.
7. R. L. Wagner, P. Otto, and W. C. Chew, “Fast waveguide mode computation using wavelet-like basis functions,” IEEE Microwave Guided Wave Lett., vol. 3, pp. 208-210, July 1993.
8. O. P. Franza, R. L. Wagner, and W. C. Chew, “Wavelet-like basis functions for solving scattering integral equation,” IEEE Antennas Propagat. Soc. Symp., pp. 3-6, June 1994.
9. T. K. Sarkar, L. E. Garcia-Castillo, and M. Salazar-Palma, “Utilization of wavelet concepts in finite elements for efficient solution of Maxwell’s equation,” IEEE Antennas Propagat. Soc, Symp., p. 7, June 1994.
10. K. Sabetfakhri and L. P. B. Katehi, “Multiresolution expansions for efficient moment method solution of waveguiding problems,” IEEE Antennas Propagat. Soc, Symp., pp. 24-27, June 1994.
11. G. W. Pan and X. Zhu, “The application of fast adaptive wavelet expansion method in the computation of parameter matrices of multiple lossy transmission lines,” IEEE Antennas Propagat. Soc, Symp., pp. 29-32, June 1994.
12. H. Kim and H. Ling, “Wavelet analysis of radar echo from finite-size target,” IEEE Trans. Antennas Propagat., pp. 200-207, Feb. 1993.
13. H. Kim and H. Ling, “On the application of fast wavelet transform to the integral-equation of electromagnetic scattering problems,” Microwave Opt. Technol. Lett., vol. 6, no. 3, pp. 168-173, Mar. 1993.
14. A. Moghaddar and E. K. Walton, “Time-frequency distribution analysis of scattering from waveguide cavities,” IEEE Trans. Antennas Propagat., pp. 677-680, May 1993.
15. L. Carin and L. B. Felsen, “Wave-oriented data processing for frequency- and time-domain scattering by nonuniform truncated arrays,” IEEE Trans. Antennas Propagat. Mag., pp. 29-43, June 1994.
16. A. E. Yagle, “Reconstruction of layered one-dimensional dielectric media using the wavelet transform,” IEEE Antennas Propagat. Soc. Symp., pp. 12-15, June 1994.
17. I. Jouny. “Applications of wavelet subband decomposition in adaptive arrays,” IEEE Antennas Propagat. Soc. Symp., pp. 16-19, June 1994.
18. J. C. Goswami, A. K. Chan, and C. K. Chui, “An analysis of two-dimensional scattering by metallic cylinders using wavelets on a bounded interval,” IEEE Antennas Propagat. Soc, Symp., p. 2, June 1994.
19. J. C. Goswami, A. K. Chan, and C. K. Chui, “An application of fast integral wavelet transform to waveguide mode identification,” IEEE Trans. Microwave Theory Techn., pp. 655-663. Mar. 1995.
20. J. C. Goswami, A. K. Chan, and C. K. Chui, “On a spline-based fast irftegral wavelet transform algorithm,” in Ultra-Wideband Short Pulse Electromagnetics 2, H. L. Bertoni, L. Carin, L. B. Felsen, and S. U. Pillai, Eds. New York: Plenum, to appear.
21. C. K. Chui, J. C. Goswami, and A. K. Chan, “Fast integral wavelet transform on a dense set of time-scale domain,” Numerische Mathematik New York: Springer-Verlag, to appear.
22. C. K. Chui, An Introduction to Wavelets. Boston: Academic, 1992.
23. C. K. Chui, Multivariate Splines, CBMS-NSF series in Applied Maths #54. Philadelphia: SIAM, 1988.
24. I. Daubechies, Ten Lectures on Wavelets (CBMS-NSF series in Applied Maths #61). Philadelphia: SIAM, 1992.
25. Y. Meyer, Wavelets: Algorithms and Applications. Philadelphia: SIAM, 1993.
26. G. Strang, “Wavelets and dilation equations: A brief introduction,” SIAM Review, vol. 31, no. 4, pp. 614-627, Dec. 1989.
27. C. K. Chui and E. Quak, “Wavelets on a bounded interval,” in Num. Math. Approx. Theory, D. Braess and L. L. Schumaker, Eds. Basel: Birkhauser Verlag, vol. 9, pp. 53-75, 1992.
28. A. Cohen, I. Daubechies, and P. Vial, “Wavelets on the interval and fast wavelet transform,” Applied and Computational Harmonic Analysis, vol. I, no. 3, pp. 54-81, Dec. 1993.
29. P. Auscher, “Wavelets with boundary conditions on the interval,” in Wavelets: A Tutorial in Theory and Applications, C. K. Chui, Ed. Boston: Academic, pp. 217-236, 1992.
30. Y. Meyer, “Ondelettes sur l’intervalle.’ Rev. Mat. Iberoamericana, vol. 7, pp. 115-143,1991.