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D-Index & Metrics

Mathematics

D-Index
46
Citations
8524
World Ranking
1360
National Ranking
18

Research.com Recognitions

  • 1997 - Ludwig Boltzmann Prize, Austrian Physical Society

Overview

Gerald Teschl is affiliated with the University of Vienna in Austria and has a research focus primarily in the fields of Mathematics and Physics and Astronomy. Their work extensively covers subfields such as Statistical and Nonlinear Physics, Mathematical Physics, General Health Professions, Numerical Analysis, and Artificial Intelligence.

The scientist's research topics include Nonlinear Waves and Solitons, Advanced Mathematical Physics Problems, Spectral Theory in Mathematical Physics, Nonlinear Photonic Systems, Differential Equations and Numerical Methods, Quantum Chaos and Dynamical Systems, and Hermeneutics and Narrative Identity.

Gerald Teschl has contributed to a range of recent publications. Notable papers include:

  • Closed-form continuous-time neural networks, 2022, Nature Machine Intelligence
  • A Riemann-Hilbert approach to the modified Camassa-Holm equation with step-like boundary conditions, 2022, arXiv (Cornell University)
  • Soliton asymptotics for the KdV shock problem via classical inverse scattering, 2022, Journal of Mathematical Analysis and Applications
  • Asymptotics of KdV shock waves via the Riemann-Hilbert approach, 2024, Indiana University Mathematics Journal
  • Long-time asymptotics for Toda shock waves in the modulation region, 2023, Zurnal matematiceskoj fiziki analiza geometrii

The scientist frequently publishes in venues such as:

  • arXiv (Cornell University)
  • Nature Machine Intelligence
  • Journal of Mathematical Analysis and Applications
  • Indiana University Mathematics Journal
  • Zurnal matematiceskoj fiziki analiza geometrii

Collaborations are a significant aspect of their academic work, with frequent coauthors including Iryna Egorova, Johanna Michor, Jussi Behrndt, Philipp Schmitz, and Carsten Trunk. These collaborations span multiple research efforts, reflecting ongoing partnerships in the discipline.

Gerald Teschl was awarded the Ludwig Boltzmann Prize by the Austrian Physical Society in 1997, marking a recognized achievement within their scientific community.

Best Publications

  • Ordinary Differential Equations and Dynamical Systems

    Gerald Teschl

  • Jacobi Operators and Completely Integrable Nonlinear Lattices

    Gerald Teschl

  • Mathematical Methods in Quantum Mechanics

    Gerald Teschl

  • Long-Time Asymptotics for the Camassa-Holm Equation

    Anne Boutet de Monvel;Aleksey Kostenko;Dmitry Shepelsky;Gerald Teschl

  • Long-Time Asymptotics for the Korteweg–de Vries Equation via Nonlinear Steepest Descent

    Katrin Grunert;Gerald Teschl;Gerald Teschl

  • A mathematical model for breath gas analysis of volatile organic compounds with special emphasis on acetone

    Julian King;Karl Unterkofler;Karl Unterkofler;Gerald Teschl;Susanne Teschl

  • Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials

    Jonathan Eckhardt;Fritz Gesztesy;Roger Nichols;Gerald Teschl

  • Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies

    W. Bulla;F. Gesztesy;H. Holden;G. Teschl

  • LONG-TIME ASYMPTOTICS OF THE TODA LATTICE FOR DECAYING INITIAL DATA REVISITED

    Helge Krüger;Gerald Teschl

  • Long-time asymptotics for the Korteweg–de Vries equation with step-like initial data

    Iryna Egorova;Zoya Gladka;Volodymyr Kotlyarov;Gerald Teschl;Gerald Teschl

  • Spectral theory for perturbed Krein Laplacians in nonsmooth domains

    Mark S. Ashbaugh;Fritz Gesztesy;Marius Mitrea;Gerald Teschl

  • On the double commutation method

    F. Gesztesy;G. Teschl;G. Teschl

  • Zeros of the Wronskian and renormalized oscillation theory

    F. Gesztesy;B. Simon;G. Teschl

  • On Fourier Transforms of Radial Functions and Distributions

    Loukas Grafakos;Gerald Teschl;Gerald Teschl

  • Soliton Equations and their Algebro-Geometric Solutions: Contents

    Fritz Gesztesy;Helge Holden;Johanna Michor;Gerald Teschl

  • Weyl–Titchmarsh Theory for Schrödinger Operators with Strongly Singular Potentials

    Aleksey Kostenko;Alexander Sakhnovich;Gerald Teschl;Gerald Teschl

  • Oscillation Theory and Renormalized Oscillation Theory for Jacobi Operators

    Gerald Teschl

  • Sturm-Liouville operators with measure-valued coefficients

    Jonathan Eckhardt;Gerald Teschl;Gerald Teschl

  • Long-Time Asymptotics for the Korteweg-de Vries Equation with Steplike Initial Data

    Iryna Egorova;Zoya Gladka;Volodymyr Kotlyarov;Gerald Teschl

  • Long-Time Asymptotics of the Toda Lattice for Decaying Initial Data Revisited

    Helge Krueger;Gerald Teschl

  • Commutation Methods for Jacobi Operators

    F. Gesztesy;G. Teschl;G. Teschl

  • On the singular Weyl–Titchmarsh function of perturbed spherical Schrödinger operators☆

    Aleksey Kostenko;Gerald Teschl;Gerald Teschl

  • Long-time asymptotics for the Toda lattice in the soliton region

    Helge Krüger;Gerald Teschl;Gerald Teschl

Frequent Co-Authors

Fritz Gesztesy
Fritz Gesztesy Baylor University
Helge Holden
Helge Holden Norwegian University of Science and Technology
Anton Amann
Anton Amann Innsbruck Medical University
Marius Mitrea
Marius Mitrea Baylor University
Barry Simon
Barry Simon California Institute of Technology
Gerhard Rein
Gerhard Rein University of Bayreuth
Anne Boutet de Monvel
Anne Boutet de Monvel Université Paris Cité
Birgit Frauscher
Birgit Frauscher Duke University
Birgit Högl
Birgit Högl Innsbruck Medical University
Loukas Grafakos
Loukas Grafakos University of Missouri

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