Research
I'm a postdoctoral research and teaching assistant.
My research interests are in numerical mathematics and computational complex
analysis. They include harmonic mappings, conformal mapping, and approximation
theory.
My ORCID id:
Publications
Recent publications and Preprints
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Olivier Sète and Jan Zur,
On the zeros of polyanalytic polynomials,
2024, submitted.
arXiv
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Klaus Schiefermayr and Olivier Sète,
Walsh's conformal map onto lemniscatic domains for several intervals,
2024, submitted.
arXiv
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Yuji Nakatsukasa, Olivier Sète, and Lloyd N. Trefethen,
The first five years of the AAA algorithm,
2023, submitted.
arXiv
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Klaus Schiefermayr and Olivier Sète,
Walsh's conformal map onto
lemniscatic domains for polynomial pre-images II,
Computational Methods and Function Theory, 2023. (Online first.)
arXiv
Refereed Journal Publications
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Roland Pulch and Olivier Sète,
Stochastic Galerkin method and port-Hamiltonian form for linear first-order
ordinary differential equations,
International Journal for Uncertainty Quantification, 14(4) (2024), pp. 65-82.
arXiv
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Roland Pulch and Olivier Sète,
The Helmholtz equation with
uncertainties in the wavenumber,
Journal of Scientific Computing, 98(3) (2024), article number 60.
arXiv
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Klaus Schiefermayr and Olivier Sète,
Walsh's conformal map onto
lemniscatic domains for polynomial pre-images I,
Computational Methods and Function Theory, 23 (2023), pp. 489-511.
arXiv
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Sergei Kalmykov, Béla Nagy, and Olivier Sète,
Minimal degree rational open up mappings and related questions,
Annales Fennici Mathematici, 48(2) (2023), pp. 429-451.
arXiv
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Jörg Liesen, Mohamed M.S. Nasser, and Olivier Sète,
Computing the logarithmic capacity of compact sets having (infinitely)
many components with the Charge Simulation Method,
Numerical Algorithms, 93 (2023), pp. 581-614.
arXiv
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Olivier Sète and Jan Zur,
The transport of images
method: computing all zeros of harmonic mappings by continuation,
IMA Journal of Numerical Analysis, 42(3) (2022), pp. 2403-2428.
Free
access article link.
arXiv
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Luis García Ramos, Olivier Sète, and Reinhard Nabben,
Preconditioning the Helmholtz
equation with the shifted Laplacian and Faber polynomials,
Electronic Transactions on Numerical Analysis, vol. 54, 2021, pp. 534-557.
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Olivier Sète and Jan Zur, Number and location of
pre-images under harmonic mappings in the plane,
Annales Fennici Mathematici, 46(1) (2021), 225–247.
arXiv
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Robert Luce and Olivier Sète,
The index of singular
zeros of harmonic mappings of anti-analytic degree one,
Complex Variables and Elliptic Equations, 66:1 (2021), 1-21.
Available as Oberwolfach Preprint OWP 2017-03.
arXiv
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Olivier Sète and Jan Zur,
A Newton method for harmonic
mappings in the plane,
IMA Journal of Numerical Analysis, 40(4) (2020), pp. 2777-2801.
Free
access article link.
arXiv
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Yuji Nakatsukasa, Olivier Sète, and Lloyd N. Trefethen,
The AAA algorithm for
rational approximation,
SIAM Journal on Scientific Computing, 40-3 (2018), pp. A1494-A1522.
arXiv
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Jörg Liesen, Olivier Sète, and Mohamed M.S. Nasser,
Fast and
Accurate Computation of the Logarithmic Capacity of Compact Sets,
Computational Methods and Function Theory, 17(4) (2017), 689-713.
arXiv
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Olivier Sète and Jörg Liesen,
Properties and examples
of Faber--Walsh polynomials,
Computational Methods and Function Theory, 17(1) (2017), 151-177.
arXiv
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Mohamed M.S. Nasser, Jörg Liesen, and Olivier Sète,
Numerical computation of
the conformal map onto lemniscatic domains,
Computational Methods and Function Theory, 16(4) (2016), 609-635.
arXiv
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Olivier Sète and Jörg Liesen,
On conformal maps
from multiply connected domains onto lemniscatic domains,
Electronic Transactions on Numerical Analysis, vol. 45, pp. 1-15, 2016.
arXiv
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Robert Luce, Olivier Sète, and Jörg Liesen,
A Note on the Maximum
Number of Zeros of r(z)−z̅,
Computational Methods and Function Theory, 15(3) (2015), 439-448.
arXiv
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Olivier Sète, Robert Luce, and Jörg Liesen,
Creating images by adding
masses to gravitational point lenses (Editor's Choice),
General Relativity and Gravitation, 47, Article number: 42, 2015.
arXiv
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Olivier Sète, Robert Luce, and Jörg Liesen,
Perturbing rational
harmonic functions by poles,
Computational Methods and Function Theory, 15(1) (2015), 9-35.
arXiv
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Robert Luce, Olivier Sète, and Jörg Liesen,
Sharp parameter bounds
for certain maximal point lenses (Editor's Choice),
General Relativity and Gravitation, 46, Article number: 1736, 2014.
arXiv
Further Publications
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Sergei Kalmykov, Béla Nagy, and Olivier Sète,
Rational Interpolation and
Open-Up Mappings,
Mathematical Notes, 112, 483-487 (2022).
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Jussi Behrndt and Olivier Sète,
On the nonreal eigenvalues of elliptic differential operators with indefinite
weights on Lipschitz domains,
Proceedings in Applied Mathematics and Mechanics, 9 (2009), 667-668;
pdf.
Theses
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Olivier Sète,
On Interpolation and
Approximation Problems in Numerical Linear Algebra,
Doktorarbeit (PhD Thesis), Technische Universität Berlin, 2016.
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Olivier Sète,
Ein Modell für unendlichdimensionale singuläre
Störungen von elliptischen Differentialoperatoren, Diplomarbeit (Diploma
Thesis), Technische Universität Berlin, 2009.
Software
Selected talks
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Polynomial preconditioning with Faber polynomials for the Helmhotz equation
25th conference of the
Inernational Linear Algebra Society
(Madrid, Spain), 16 June 2023.
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Solving the Helmholtz equation with uncertainties in the wavenumber
GAMM
Workshop on Applied and Numerical Linear Algebra 2022
(Prag, Czech Republic), 23 September 2022.
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A continuation method to find all zeros of planar harmonic mappings
41st
Northern German Colloquium on applied analysis and numerical mathematics
(Hannover, Germany), 17th June 2022.
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Computation of the logarithmic capacity
Complex Approximations, Orthogonal Polynomials and
Applications (CAOPA) Seminar Series
(Moscow, Russia, Online), 21th February 2022.
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Number and location of pre-images under planar harmonic mappings
Computational
Methods and Function Theory 2021
(Valparaíso, Chile, held online), 12th January 2022.
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Polynomial preconditioning with truncated Faber series and an application to the
Helmholtz equation
GAMM
Workshop Applied and Numerical Linear Algebra 2021
(Potsdam, Germany), 17th September 2021.
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Conformal mapping of multiply connected domains onto lemniscatic domains and
the computation of the logarithmic capacity
13th ISAAC
Congress
(Ghent, Belgium, held online), 3rd August 2021.
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Caustics of harmonic mappings and their effect on the number of pre-images
Institut für Angewandte Analysis, TU Bergakademie Freiberg
(Freiberg, Germany), 18th February 2020.
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Computing Walsh's conformal map onto lemniscatic domains,
invited speaker at CATW03, Computational
complex analysis,
Isaac Newton Institute (Cambridge, UK), 13th December 2019.
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On the Valence of Harmonic Mappings in the Plane
First Analysis Mathematica International Conference (Budapest,
Hungary), 16th August 2019.
Teaching
Teaching as lecturer
I was a lecturer of the following courses.
Teaching as teaching assistant at Universität Greifswald
Teaching as teaching assistant at TU Berlin
Teaching as student teaching assistant at TU Berlin
I was a student teaching assistant (Tutor) of the following courses at TU
Berlin.