PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 17 > pp. 237-264

A Multiscale Moment Method for Solving Fredholm Integral Equation of the First Kind

By C. Su and T. K. Sarkar

Full Article PDF (979 KB)

Citation:
C. Su and T. K. Sarkar, "A Multiscale Moment Method for Solving Fredholm Integral Equation of the First Kind," Progress In Electromagnetics Research, Vol. 17, 237-264, 1997.
doi:10.2528/PIER97011400
http://www.jpier.org/PIER/pier.php?paper=970114

References:
1. Delves, L. M., Numerical Solution of Integral Equations, Clarendon Press, Oxford, 1974.

2. Hackbusch, W., Integral Equations Theory and Numerical Treatment, ISNM Vol. 120, Birkhauser Verlag, Switzerland, 1995.

3. Tikhonov, A. N. and V. Y. Arsenin, On the Solution of Ill-posed Problems, John Wiley and Sons, New York, 1977.

4. Backus, G. and F. Gilbert, "Numercal applications of a formalism for geophysical inverse problems," Geophys. J. Roy. Astron. Soc., Vol. 13, 247-276, 1967.
doi:10.1111/j.1365-246X.1967.tb02159.x

5. Harrington, R. F., Field Computation by Moment Method, Macmillan Press, New York, 1968.

6. Wing, G. M., A Primer on Integral Equations of the First Kind, Philadelphia, SIAM, 1991.
doi:10.1137/1.9781611971675

7. Beylkin, G. and R. Coifman V. Rokhlin, "Fast wavelet transform and numerical algorithm I," Comm. Pure Appl. Math., Vol. 44, 141-183, 1991.
doi:10.1002/cpa.3160440202

8. Alpert, B. K., G. Beylkin, R. Coifman, and V. Rokhlin, "Waveletlike bases for the fast solution of second-kind integral equation," SIAM J. Sci. Comp., Vol. 14, 159-184, Jan. 1993.
doi:10.1137/0914010

9. Steinbery, B. Z. and Y. Leviatan, "On the use of wavelet expansions in the method of moments," IEEE Trans. Antennas Propagat., Vol. 41, No. 5, 610-619, 1993.
doi:10.1109/8.222280

10. Goswami, J. C., A. K. Chan, and C. K. Chui, "On solving firstkind integral equations using wavelets on a bounded interval," IEEE Trans. Antennas Propagat., Vol. 43, No. 6, 614-622, June 1995.
doi:10.1109/8.387178

11. Wang, G., "A hybrid wavelet expansion and boundary element analysis of electromagnetic scattering from conducting objects," IEEE Trans. Antennas Propagat., Vol. 43, No. 2, 170-178, Feb. 1995.
doi:10.1109/8.366379


© Copyright 2014 EMW Publishing. All Rights Reserved