research in ...
numerical analysis, approximation, equispaced data, linear barycentric rational interpolation, numerical differentiation, numerical quadraturepapers, preprints and other publications
2014- Efficient high-order rational integration and deferred correction with equispaced data
S. Güttel, G. Klein
ETNA, 41 (2014), pp. 443-464
pdf - The linear barycentric rational quadrature method for Volterra integral equations
J.-P. Berrut, A. Hosseini, G. Klein
SISC, 36 (2014), pp. A105-A123
http://dx.doi.org/10.1137/120904020, pdf - Recent advances in linear barycentric rational interpolation
J.-P. Berrut, G. Klein
J. Comput. Appl. Math., 259 (2014), pp. 95-107
http://dx.doi.org/10.1016/j.cam.2013.03.044, pdf
- An extension of the Floater-Hormann family of barycentric rational interpolants
G. Klein
Math. Comp., 82 (2013), pp. 2273-2292
http://dx.doi.org/10.1090/S0025-5718-2013-02688-9, pdf
awarded a Leslie Fox Prize
- Applications of Linear Barycentric Rational Interpolation
G. Klein
PhD thesis Nr 1762, University of Fribourg, pdf
awarded the Prix de la Faculté des Sciences - Convergence of linear barycentric rational interpolation for analytic functions
S. Güttel, G. Klein
SIAM J. Numer. Anal., 50 (2012), pp. 2560-2580
http://dx.doi.org/10.1137/120864787, pdf - Linear barycentric rational quadrature
G. Klein, J.-P. Berrut
BIT Num. Math., 52 (2012), pp. 407-424
http://dx.doi.org/10.1007/s10543-011-0357-x, pdf - On the Lebesgue constant of barycentric rational interpolation at equidistant nodes
L. Bos, S. De Marchi, K. Hormann, G. Klein
Numer. Math. 121 (2012), pp. 461-471
http://dx.doi.org/10.1007/s00211-011-0442-8, pdf - Linear rational finite differences from derivatives of barycentric rational interpolants
G. Klein, J.-P. Berrut
SIAM J. Numer. Anal. 50 (2012), pp. 643-656
http://dx.doi.org/10.1137/110827156, pdf - Barycentric rational interpolation at quasi-equidistant nodes
K. Hormann, G. Klein, S. De Marchi
Dolomites Res. Notes Approx. 5 (2012), pp. 1-6, pdf
- Convergence rates of derivatives of a family of barycentric rational interpolants
J.-P. Berrut, M. S. Floater, G. Klein
Appl. Numer. Math. 61 (2011), pp. 989-1000
http://dx.doi.org/10.1016/j.apnum.2011.05.001, pdf
- Une extension de la méthode de collocation rationnelle linéaire pour la résolution de problèmes de valeurs aux limites
G. Klein
master's thesis, Department of Mathematics, University of Fribourg
the method stems from a collaboration with R. Baltensperger and J.-P. Berrut
talks and conferences
2013- Chebfun2: Approximation of functions in 2D, Tutorial together with Nick Hale, Dolomites Research Week on Approximation (DRWA13), Alba di Canazei (Trento, Italy), September 8 - 13, 2013, slides
- Chebfun and equispaced data, SIAM Annual Meeting (San Diego), July 12, 2013, SIAM Annual Meeting 2013, July 8 - 12, 2013, slides
- Rational integration of analytic functions from equispaced data, University of Strathclyde (Glasgow), June 27, 2013, 25th Biennial Numerical Analysis Conference, June 25 - 25, 2013, slides
- An extension of the Floater-Hormann family of barycentric rational interpolants, ICMS Edinburgh, June 24, 2013, 16th IMA Leslie Fox Prize in Numerical Analysis, awarded a Leslie Fox Prize
- Deferred correction from equispaced data based on efficient high-order rational integration, Manchester, June 19, 2013, Innovative space-time-parallel methods: Analysis and Applications, The University of Manchester, UK, June 18 - 19, 2013, slides
- Linear barycentric rational interpolation: properties and applications, Numerical Analysis and Scientific Computing Seminar, Manchester Institute for Mathematical Sciences, March 8, 2013
- Floater-Hormann and extended Floater-Hormann interpolation, Internal NA seminar, University of Oxford, January 28, 2013
- Chebfun and Beyond, University of Oxford, September 17 - 19, 2012, poster with Stefan Güttel
- 3rd Dolomites Workshop on Constructive Approximation and Applications (DWCAA12), Alba di Canazei (Trento, Italy), September 9 - 14, 2012, organizer (with Jean-Paul Berrut) of the session Polynomial and rational approximation
- Convergence of linear barycentric rational interpolation for analytic functions, Ghent, July 11, 2012, International Congress on Computational and Applied Mathematics (ICCAM2012), July 9 - 13, 2012, slides
- Convergence of linear barycentric rational interpolation for analytic functions, Oslo, July 2, 2012, Eighth International Conference on Curves and Surfaces, June 28 - July 3, 2012, slides
- Convergence of linear barycentric rational interpolation for analytic functions, Oxford, January 24, 2012, slides
- Dolomites Research Week on Approximation 2011 (DRWA11), Alba di Canazei, September 5 - 8, 2011
- The condition of linear barycentric rational interpolation from equispaced samples, ICIAM (Vancouver), July 21, 2011, ICIAM 2011, July 18 - 22, 2011, abstract, slides
- Linear rational finite differences and applications, University of Strathclyde (Glasgow), June 29, 2011, 24th Biennial Conference on Numerical Analysis, June 28 - July 1, 2011, abstract, slides
- Linear barycentric rational interpolation from equispaced samples and applications, Lausanne, February 17, 2011, 7th Graduate Colloquium of the Swiss Doctoral Program, slides
- Linear barycentric rational quadrature, Leuven, July 8, 2010, International Congress on Computational and Applied Mathematics (ICCAM2010), July 5 - 9, 2010, abstract, slides
- Convergence rates of derivatives of a family of barycentric rational interpolants, Avignon, June 29, 2010, Seventh International Conference on Curves and Surfaces, June 24 - 30, 2010, abstract, slides
- Selected topics in linear rational interpolation, Geneva, February 11, 2010, 6th Graduate Colloquium of the Swiss Doctoral Program, script, awarded the prize for the best talk
- 2nd Dolomites Workshop on Constructive Approximation and Applications (DWCAA09), Alba di Canazei, September 4 - 9, 2009
Erdös number
My Erdös number is 3 via a publication with Len P. Bos.