Application of wavelets technique to the integral equations of the method of auxiliary currents

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 79-80, Issue , 2003, Pages 495-508

  Anioutine, Alexander P ^a   Kyurkchan, Alexander G ^b  

^a RUSSIAN NEW UNIVERSITY   (Russian Federation)

^b MOSCOW TECHNICAL UNIVERSITY OF COMMUNICATIONS AND INFORMATICS   (Russian Federation)

Author keywords

Fredholm integral equations or system of integral equations of the first kind with smooth kernel; Haar and linear B spline wavelets; Scattering problem

Indexed keywords

BOUNDARY VALUE PROBLEMS; FUNCTIONS; PROBLEM SOLVING;

WAVELETS FUNCTIONS;

INTEGRAL EQUATIONS;

WAVELET ANALYSIS;

EID: 0038291628     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4073(02)00303-5     Document Type: Article

References (12)

1. Chui CK. Wavelets. A mathematical tool for signal analysis. Philadelphia: SIAM, 1997.
2. Glswami JC, Chan AK. Fundamentals of wavelets: theory, algorithms and applications. New York: Wiley Interscience, 1999.
3. Rathsfeld A. A wavelet algorithm for the solution of the double layer potential equation over polygonal boundaries. J Integral Equations Appl 1995;7:47-98.
4. Dahmen W, Probdorf S, Schneider R. A multiscale method for the double layer potential equation on polyhedron. In: Dikshit HP, Micchelli CA, editors. Advances in Computational Mathematics. Singapore: World Scientific, 1994. p. 15-57.
5. Harrington RF. Field computation by moment methods. New York: Macmillan, 1968.
6. Kantorovich LV, Krilov VI. Approximation methods of the high analysis. Moscow: Fizmatgiz, 1962.
7. Kyurkchan AG. On the method of auxiliary currents and sources in problems of waves diffraction. Radio Eng Electron Phys 1984;28:2129-39.
8. Kyurkchan AG. Appendix B in Russian translation of the book. In: Blatter C, editor. Wavelets. MA: A. K. Peters Natik, 1998.
9. Kyurkchan AG. Representation of diffraction fields by wave potentials and the method of auxiliary currents in problems of the diffraction of electromagnetic waves. J Com Techn Electron 1986;31:20-7.
10. Kyurkchan AG, Minaev SA, Soloveichik AL. A modification of the method of discrete sources based on prior information about singularities of the diffracted field. J Com Tech Electron 2001;46:615-21.
11. Anyutin AP, Kyurkchan AG. Solution of the diffraction problems by method of the auxiliary currants with using wavelet basises. J Com Tech Electron 2002;47:688-93.
12. Ufumtzev PYa. The method of wedge waves in physical theory of diffraction. Moscow: Soviet Radio; 1962.