Sparse diagonal forms for translation operators for the Helmholtz equation in two dimensions

Applied and Computational Harmonic Analysis

Volumn 5, Issue 1, 1998, Pages 36-67

  Rokhlin, V ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041353905     PISSN: 10635203     EISSN: None     Source Type: Journal    
DOI: 10.1006/acha.1997.0221     Document Type: Article

References (8)

1. M. Abramovitz and I. Stegun, "Handbook of Mathematical Functions," Applied Math. Series, National Bureau of Standards, Washington, DC, 1964.
2. R. L. Wagner and W. C. Chew, A ray-propagation fast multipole algorithm, Microwave Opt. Technol. Lett. 7, No. 10 (1994).
3. J. M. Song and W. C. Chew, Fast multipole solution using parametric geometry, Microwave Opt. Technol. Lett. 7, No. 16 (1994).
4. R. Coifman, V. Rokhlin, and S. Wandzura, Faster single-stage multipole method for the wave equation, in "10th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, March 1994," Vol. 1, pp. 19-24, Applied Computational Electromagnetics Society.
5. N. S. Koshliakov, M. M. Smirnov, and E. B. Gliner, "Differential Equations of Mathematical Physics," North-Holland, Amsterdam, 1964.
6. V. Rokhlin, Rapid solution of integral equations of scattering theory in two dimensions, J. Comput. Phys. 86 (1990), 414.
7. V. Rokhlin, Diagonal forms of translation operators for the Helmholtz equation in three dimensions, Appl. Comput. Harmon. Anal. 1 (1993), 82-93.
8. G. N Watson, "A Treatise on the Theory of Bessel Functions," Cambridge Univ. Press, Cambridge, 1980.