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Applications of a Numerical Spectral Expansion Method to Problems in Physics; a Retrospective

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Topics in Operator Theory

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 203))

Abstract

A long collaboration between Israel Koltracht and the present author resulted in a new formulation of a spectral expansion method in terms of Chebyshev polynomials appropriate for solving a Fredholm integral equation of the second kind, in one dimension. An accuracy of eight significant figures is generally obtained. The method will be reviewed, and applications to physics problems will be described.

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Author information

Authors and Affiliations

  1. Department of Physics, University of Connecticut, Storrs, CT, 06268, USA

    George H. Rawitscher

Authors
  1. George H. Rawitscher
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Virginia Tech, Blacksburg, VA, 24061, USA

    Joseph A. Ball

  2. Department of Mathematics, College of William and Mary, P. O. Box 8795, Williamsburg, VA, 23187-8795, USA

    Vladimir Bolotnikov , Leiba Rodman  & Ilya M. Spitkovsky ,  & 

  3. Department of Mathematics, University of California San Diego, 9500 Gilman Drive, La Jolla, CA, 92093-0112

    J. William Helton

Additional information

Communicated by L. Rodman.

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© 2010 Birkhäuser Verlag Basel/Switzerland

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Rawitscher, G.H. (2010). Applications of a Numerical Spectral Expansion Method to Problems in Physics; a Retrospective. In: Ball, J.A., Bolotnikov, V., Rodman, L., Spitkovsky, I.M., Helton, J.W. (eds) Topics in Operator Theory. Operator Theory: Advances and Applications, vol 203. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0161-0_16

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