Approximation of 1/||x-y|| by exponentials for wavelet applications (short communication)

Computing (Vienna/New York)

Volumn 76, Issue 3-4, 2005, Pages 359-366

  Hackbusch, W ^a,b  

^a Mathematik in den Naturwissenschaften ^*

^b MAX PLANCK INSTITUTE FOR MATHEMATICS IN THE SCIENCES   (Germany)

Author keywords

Approximation by exponentials; Wavelets

Indexed keywords

APPROXIMATION BY EXPONENTIALS;

COMPUTATIONAL METHODS; ERROR ANALYSIS; POLYNOMIALS; WAVELET TRANSFORMS;

APPROXIMATION THEORY;

EID: 29144489004     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00607-005-0134-2     Document Type: Article

References (5)

1. Braess, D.: Nonlinear approximation theory. Berlin: Springer 1986.
2. Braess, D., Hackbusch, W.: Approximation of 1/x by exponential sums in [1, ∞). IMA Numer. Anal. (to appear).
3. Flad, H.-J., Hackbusch, W., Kolb, D., Schneider, R.: Wavelet approximation of correlated wave functions. I. Basics. J. Chem. Phys. 116, 9641-9657 (2002).
4. Hackbusch. W.: The efficient computation of certain determinants arising in the treatment of Schrödinger's equation. Computing 67, 35-56 (2001).
5. Louis, A. K., Maaß, P., Rieder, A.: Wavelets. Stuttgart: Teubner 1998.