2026 Alexander Ostermann: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	39	2203	1946	28	28	172	6372

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

2203

1946

172

6372

Overview

Alexander Ostermann is a researcher affiliated with the University of Innsbruck in Austria. Their work spans primarily the fields of mathematics and engineering, with a focus on numerical analysis and computational mechanics within these areas.

Their research topics include numerical methods for differential equations, differential equations and numerical methods, advanced mathematical physics problems, fractional differential equations solutions, advanced numerical methods in computational mathematics, electromagnetic simulation and numerical methods, and model reduction and neural networks.

Frequent co-authors collaborating with Alexander Ostermann include:

Lukas Einkemmer
Frédéric Rousset
Katharina Schratz
Lun Ji
Xian-Ming Gu

They have published extensively in a range of venues, with multiple publications appearing in:

arXiv (Cornell University)
Journal of Scientific Computing
Journal of Computational Physics
International Journal for Numerical and Analytical Methods in Geomechanics
SIAM Journal on Numerical Analysis

Notable recent papers include:

"Fourier integrator for periodic NLS: low regularity estimates via discrete Bourgain spaces," 2022, Journal of the European Mathematical Society
"A Preconditioning Technique for an All-at-once System from Volterra Subdiffusion Equations with Graded Time Steps," 2021, Journal of Scientific Computing
"A robust and conservative dynamical low-rank algorithm," 2023, Journal of Computational Physics
"An intergranular strain concept for material models formulated as rate equations," 2020, International Journal for Numerical and Analytical Methods in Geomechanics
"Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity," 2020, Foundations of Computational Mathematics

Best Publications

Exponential integrators

Unknown

970
Citations
Explicit Exponential Runge-Kutta Methods for Semilinear Parabolic Problems

Marlis Hochbruck;Alexander Ostermann

520
Citations
Exponential Rosenbrock-Type Methods

Marlis Hochbruck;Alexander Ostermann;Julia Schweitzer

295
Citations
Exponential Runge--Kutta methods for parabolic problems

Marlis Hochbruck;Alexander Ostermann

246
Citations
Runge-Kutta methods for parabolic equations and convolution quadrature

Ch. Lubich;A. Ostermann

236
Citations
Multi-grid dynamic iteration for parabolic equations

C. Lubich;A. Ostermann

222
Citations
Implementation of exponential Rosenbrock-type integrators

Marco Caliari;Alexander Ostermann

142
Citations
Linearly implicit time discretization of non-linear parabolic equations

Ch. Lubich;A. Ostermann

135
Citations
Runge-Kutta approximation of quasi-linear parabolic equations

Christian Lubich;Alexander Ostermann

133
Citations
Exponential splitting for unbounded operators

Eskil Hansen;Alexander Ostermann

132
Citations
Geometry by Its History

Alexander Ostermann;Gerhard Wanner

124
Citations
High order splitting methods for analytic semigroups exist

Eskil Hansen;Alexander Ostermann

124
Citations
Low regularity exponential-type integrators for semilinear Schrödinger equations

Alexander Ostermann;Katharina Schratz

116
Citations
A Class of Explicit Exponential General Linear Methods

A. Ostermann;M. Thalhammer;W.M. Wright

110
Citations
Runge-Kutta methods for partial differential equations and fractional orders of convergence

A. Ostermann;M. Roche

105
Citations
Consistent tangent operators for constitutive rate equations

Wolfgang Fellin;Alexander Ostermann

103
Citations
Exponential multistep methods of Adams-type

Marlis Hochbruck;Alexander Ostermann

102
Citations
Explicit exponential Runge-Kutta methods of high order for parabolic problems

Vu Thai Luan;Alexander Ostermann

80
Citations
Rosenbrock methods for partial differential equations and fractional orders of convergence

A. Ostermann;M. Roche

80
Citations
The Leja Method Revisited: Backward Error Analysis for the Matrix Exponential

Marco Caliari;Peter Kandolf;Alexander Ostermann;Stefan Rainer

72
Citations
Comparison of software for computing the action of the matrix exponential

Marco Caliari;Peter Kandolf;Alexander Ostermann;Stefan Rainer

66
Citations
Low regularity exponential-type integrators for semilinear Schr"odinger equations in the energy space

Alexander Ostermann;Katharina Schratz

0
Citations

Frequent Co-Authors

Michael Oberguggenberger University of Innsbruck

Frédéric Rousset University of Paris-Saclay

Christian Lubich University of Tübingen

Thomas Loerting University of Innsbruck

Martin Mergili University of Graz

Ting-Zhu Huang University of Electronic Science and Technology of China

Ernst Hairer University of Geneva

Armin Hansel University of Innsbruck

Martin Graus University of Innsbruck

Olaf Reimer University of Innsbruck

External Links

Personal website of Alexander Ostermann Google Scholar page

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