Effective Computation of Operators Defined by Line Integrals

Venturino, Ezio

doi:10.1007/978-3-0348-9035-9_21

Ezio Venturino⁵

Part of the book series: Operator Theory Advances and Applications ((OT,volume 87))

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Abstract

We extend the recent results obtained for the calculation of line integrals over smooth curves, for which an explicit parametrization is not known. The original parametrization of the curve is replaced by another one, interpolating to the curve at a set of given knots. We then investigate the use of Gaussian quadrature formulae specifically devised for this problem.

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References

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Authors and Affiliations

Mathematics Department, University of Iowa, Iowa City, IA, 52242, USA
Ezio Venturino

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Ezio Venturino
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Editors and Affiliations

School of Mathematical Sciences, Tel Aviv University, 69978, Tel Aviv, Israel
I. Gohberg
Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, T2N 1NA, Canada
P. Lancaster
Department of Applied Mathematics and Institute of Industrial Mathematical Sciences, University of Manitoba, Winnipeg, Manitoba, R3T 2N2, Canada
P. N. Shivakumar

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Venturino, E. (1996). Effective Computation of Operators Defined by Line Integrals. In: Gohberg, I., Lancaster, P., Shivakumar, P.N. (eds) Recent Developments in Operator Theory and Its Applications. Operator Theory Advances and Applications, vol 87. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9035-9_21

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DOI: https://doi.org/10.1007/978-3-0348-9035-9_21
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9878-2
Online ISBN: 978-3-0348-9035-9
eBook Packages: Springer Book Archive

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