D-Index & Metrics Best Publications
Mathematics
Austria
2022

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 39 Citations 6,756 172 World Ranking 1474 National Ranking 21

Research.com Recognitions

Awards & Achievements

2022 - Research.com Mathematics in Austria Leader Award

1997 - Ludwig Boltzmann Prize, Austrian Physical Society

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Hilbert space

His main research concerns Mathematical analysis, Mathematical physics, Gradient descent, Nonlinear system and Exhalation. His biological study spans a wide range of topics, including Dimension, Eigenvalues and eigenvectors and Perturbation. His Eigenvalues and eigenvectors research includes elements of Jacobi method and Jacobi operator.

He focuses mostly in the field of Jacobi method, narrowing it down to topics relating to Operator theory and, in certain cases, Algebra. His study looks at the relationship between Perturbation and topics such as Energy parameter, which overlap with Schrödinger's cat. His research on Mathematical physics frequently connects to adjacent areas such as Soliton.

His most cited work include:

  • Jacobi Operators and Completely Integrable Nonlinear Lattices (626 citations)
  • Ordinary Differential Equations and Dynamical Systems (505 citations)
  • Mathematical Methods in Quantum Mechanics (362 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of investigation include Mathematical analysis, Mathematical physics, Pure mathematics, Schrödinger's cat and Toda lattice. Many of his research projects under Mathematical analysis are closely connected to Gradient descent with Gradient descent, tying the diverse disciplines of science together. His Mathematical physics research incorporates elements of Function, Scattering, Scattering theory and Continuous spectrum.

Gerald Teschl combines subjects such as Operator and Sturm–Liouville theory with his study of Pure mathematics. His Schrödinger's cat study combines topics from a wide range of disciplines, such as Bessel function and Perturbation. The various areas that Gerald Teschl examines in his Toda lattice study include Inverse scattering problem and Hierarchy.

He most often published in these fields:

  • Mathematical analysis (64.05%)
  • Mathematical physics (42.16%)
  • Pure mathematics (27.12%)

What were the highlights of his more recent work (between 2014-2020)?

  • Mathematical analysis (64.05%)
  • Mathematical physics (42.16%)
  • Schrödinger's cat (22.22%)

In recent papers he was focusing on the following fields of study:

Gerald Teschl mostly deals with Mathematical analysis, Mathematical physics, Schrödinger's cat, Jacobi operator and Pure mathematics. Gerald Teschl applies his multidisciplinary studies on Mathematical analysis and Gradient descent in his research. In general Mathematical physics, his work in Dirac is often linked to First order linking many areas of study.

Gerald Teschl interconnects Jacobi method, Jacobi eigenvalue algorithm, Applied mathematics and Laguerre polynomials in the investigation of issues within Jacobi operator. The Pure mathematics study combines topics in areas such as Uniqueness, Group and Hierarchy. His work in Nonlinear system covers topics such as Rarefaction which are related to areas like Riemann–Hilbert problem, Toda lattice and Vries equation.

Between 2014 and 2020, his most popular works were:

  • Rarefaction waves of the Korteweg–de Vries equation via nonlinear steepest descent (30 citations)
  • Rarefaction waves of the Korteweg–de Vries equation via nonlinear steepest descent (30 citations)
  • Dispersion estimates for one-dimensional discrete Schrödinger and wave equations (24 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

Gerald Teschl spends much of his time researching Mathematical analysis, Schrödinger's cat, Mathematical physics, Continuous spectrum and Dispersion. His study of Clifford analysis is a part of Mathematical analysis. His Schrödinger's cat research incorporates themes from Canonical system, Dirac and Schrödinger equation.

Gerald Teschl has researched Mathematical physics in several fields, including Resonance and Klein–Gordon equation. His Continuous spectrum study combines topics in areas such as Matrix, Fourier transform, Operator and Integrable system. Gerald Teschl has included themes like Jost function, Differential equation, Quantum electrodynamics, Scattering theory and Wave equation in his Dispersion study.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Ordinary Differential Equations and Dynamical Systems

Gerald Teschl.
(2012)

962 Citations

Ordinary Differential Equations and Dynamical Systems

Gerald Teschl.
(2012)

962 Citations

Jacobi Operators and Completely Integrable Nonlinear Lattices

Gerald Teschl.
(1999)

811 Citations

Jacobi Operators and Completely Integrable Nonlinear Lattices

Gerald Teschl.
(1999)

811 Citations

Mathematical Methods in Quantum Mechanics

Gerald Teschl.
(2009)

608 Citations

Mathematical Methods in Quantum Mechanics

Gerald Teschl.
(2009)

608 Citations

Isoprene and acetone concentration profiles during exercise on an ergometer

J King;J King;J King;A Kupferthaler;A Kupferthaler;K Unterkofler;K Unterkofler;H Koc;H Koc;H Koc.
Journal of Breath Research (2009)

245 Citations

Long-Time Asymptotics for the Camassa-Holm Equation

Anne Boutet de Monvel;Aleksey Kostenko;Dmitry Shepelsky;Gerald Teschl.
Siam Journal on Mathematical Analysis (2009)

181 Citations

Long-Time Asymptotics for the Camassa-Holm Equation

Anne Boutet de Monvel;Aleksey Kostenko;Dmitry Shepelsky;Gerald Teschl.
Siam Journal on Mathematical Analysis (2009)

181 Citations

Physiological modeling of isoprene dynamics in exhaled breath

Julian King;Helin Koc;Helin Koc;Karl Unterkofler;Karl Unterkofler;PaweŁ Mochalski.
Journal of Theoretical Biology (2010)

167 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

Best Scientists Citing Gerald Teschl

Fritz Gesztesy

Fritz Gesztesy

Baylor University

Publications: 89

Anton Amann

Anton Amann

Innsbruck Medical University

Publications: 74

David Damanik

David Damanik

Rice University

Publications: 31

Barry Simon

Barry Simon

California Institute of Technology

Publications: 23

Helge Holden

Helge Holden

Norwegian University of Science and Technology

Publications: 20

Patrik Španěl

Patrik Španěl

Czech Academy of Sciences

Publications: 18

Jaume Llibre

Jaume Llibre

Autonomous University of Barcelona

Publications: 14

David Smith

David Smith

University of Oxford

Publications: 14

Hossam Haick

Hossam Haick

Technion – Israel Institute of Technology

Publications: 14

Pavel Exner

Pavel Exner

Czech Academy of Sciences

Publications: 13

Jonatan Lenells

Jonatan Lenells

Royal Institute of Technology

Publications: 11

Marius Mitrea

Marius Mitrea

Baylor University

Publications: 10

Renato Zenobi

Renato Zenobi

ETH Zurich

Publications: 8

Bogusław Buszewski

Bogusław Buszewski

Nicolaus Copernicus University

Publications: 8

Rowan Killip

Rowan Killip

University of California, Los Angeles

Publications: 7

Sergio Albeverio

Sergio Albeverio

University of Bonn

Publications: 7

Trending Scientists

Cameron N. Riviere

Cameron N. Riviere

Carnegie Mellon University

Eung Je Woo

Eung Je Woo

Kyung Hee University

Dragan Damjanovic

Dragan Damjanovic

École Polytechnique Fédérale de Lausanne

Yun-Sheng Ye

Yun-Sheng Ye

Huazhong University of Science and Technology

Feng Wang

Feng Wang

Linköping University

Giovanni Rovera

Giovanni Rovera

The Wistar Institute

Manuel Ares

Manuel Ares

University of California, Santa Cruz

Mauricio Lima

Mauricio Lima

Pontificia Universidad Católica de Chile

Mark Rees

Mark Rees

University of Sheffield

Leonard M. Neckers

Leonard M. Neckers

National Institutes of Health

Sergei Pisarevsky

Sergei Pisarevsky

Curtin University

Yuanwei Qin

Yuanwei Qin

University of Oklahoma

Maarten Kamermans

Maarten Kamermans

Netherlands Institute for Neuroscience

Floris G. Wouterlood

Floris G. Wouterlood

Vrije Universiteit Amsterdam

Gesine Dreisbach

Gesine Dreisbach

University of Regensburg

Stefan James

Stefan James

Uppsala University

Something went wrong. Please try again later.