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- Gerald Teschl

Mathematics

Austria

2022

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

2022 - Research.com Mathematics in Austria Leader Award

1997 - Ludwig Boltzmann Prize, Austrian Physical Society

- 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.

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

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.

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

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

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.

- 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)

- 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.

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

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