Alexander Ostermann

Alexander Ostermann

Universität Innsbruck

H-index: 40

Europe-Austria

About Alexander Ostermann

Alexander Ostermann, With an exceptional h-index of 40 and a recent h-index of 27 (since 2020), a distinguished researcher at Universität Innsbruck, specializes in the field of Numerical Analysis, Differential Equations, Engineering Mathematics, Geometry.

His recent articles reflect a diverse array of research interests and contributions to the field:

On the friction dependency of the stress Lode angle

Filtered Lie-Trotter splitting for the" good" Boussinesq equation: low regularity error estimates

Accelerating Exponential Integrators to Efficiently Solve Semilinear Advection-Diffusion-Reaction Equations

Highly efficient NURBS-based isogeometric analysis for coupled nonlinear diffusion-reaction equations with and without advection

The exponential trapezoidal method for semilinear integro-differential equations

Explicit Exponential Runge–Kutta Methods for Semilinear Integro-Differential Equations

Low regularity error estimates for the time integration of 2D NLS

Low regularity error estimates for high dimensional nonlinear Schr\" odinger equations

Alexander Ostermann Information

University

Position

Professor of Mathematics

Citations(all)

6725

Citations(since 2020)

3048

Cited By

4909

hIndex(all)

40

hIndex(since 2020)

27

i10Index(all)

107

i10Index(since 2020)

72

Email

University Profile Page

Universität Innsbruck

Google Scholar

View Google Scholar Profile

Alexander Ostermann Skills & Research Interests

Numerical Analysis

Differential Equations

Engineering Mathematics

Geometry

Top articles of Alexander Ostermann

Title

Journal

Author(s)

Publication Date

On the friction dependency of the stress Lode angle

International Journal for Numerical and Analytical Methods in Geomechanics

Gertraud Medicus

Mehdi Pouragha

Alexander Ostermann

Wolfgang Fellin

2024/3

Filtered Lie-Trotter splitting for the" good" Boussinesq equation: low regularity error estimates

arXiv preprint arXiv:2402.11266

Lun Ji

Hang Li

Alexander Ostermann

Chunmei Su

2024/2/17

Accelerating Exponential Integrators to Efficiently Solve Semilinear Advection-Diffusion-Reaction Equations

arXiv preprint arXiv:2303.15861

Marco Caliari

Fabio Cassini

Lukas Einkemmer

Alexander Ostermann

2023/3/28

Highly efficient NURBS-based isogeometric analysis for coupled nonlinear diffusion-reaction equations with and without advection

arXiv preprint arXiv:2404.04017

Ilham Asmouh

Alexander Ostermann

2024/4/5

The exponential trapezoidal method for semilinear integro-differential equations

arXiv preprint arXiv:2403.05900

Alexander Ostermann

Nasrin Vaisi

2024/3/9

Explicit Exponential Runge–Kutta Methods for Semilinear Integro-Differential Equations

SIAM Journal on Numerical Analysis

Alexander Ostermann

Fardin Saedpanah

Nasrin Vaisi

2023/6/30

Low regularity error estimates for the time integration of 2D NLS

arXiv preprint arXiv:2301.10639

Lun Ji

Alexander Ostermann

Frédéric Rousset

Katharina Schratz

2023/1/25

Low regularity error estimates for high dimensional nonlinear Schr\" odinger equations

arXiv preprint arXiv:2312.11071

Lun Ji

Alexander Ostermann

2023/12/18

Low regularity full error estimates for the cubic nonlinear Schr\" odinger equation

arXiv preprint arXiv:2311.14366

Lun Ji

Alexander Ostermann

Frédéric Rousset

Katharina Schratz

2023/11/24

A robust and conservative dynamical low-rank algorithm

Journal of Computational Physics

Lukas Einkemmer

Alexander Ostermann

Carmela Scalone

2023/7/1

A second-order low-regularity integrator for the nonlinear Schrödinger equation

Advances in Continuous and Discrete Models

Alexander Ostermann

Yifei Wu

Fangyan Yao

2022/3/12

Error estimates at low regularity of splitting schemes for NLS

Mathematics of Computation

Alexander Ostermann

Frédéric Rousset

Katharina Schratz

2022/1

Exponential integrators for second-order in time partial differential equations

Duy Phan

Alexander Ostermann

2022/11

A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions

Numerische Mathematik

Lukas Einkemmer

Alexander Ostermann

Mirko Residori

2022/1

A μ-mode integrator for solving evolution equations in Kronecker form

Journal of Computational Physics

Marco Caliari

Fabio Cassini

Lukas Einkemmer

Alexander Ostermann

Franco Zivcovich

2022/4/15

A fully discrete low-regularity integrator for the nonlinear Schrödinger equation

Journal of Scientific Computing

Alexander Ostermann

Fangyan Yao

2022/4

A splitting/polynomial chaos expansion approach for stochastic evolution equations

Journal of Evolution Equations

Andreas Kofler

Tijana Levajković

Hermann Mena

Alexander Ostermann

2021/6

Fast numerical schemes for nonlinear space-fractional multidelay reaction-diffusion equations by implicit integration factor methods

Applied Mathematics and Computation

Huan-Yan Jian

Ting-Zhu Huang

Alexander Ostermann

Xian-Ming Gu

Yong-Liang Zhao

2021/11/1

Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity

Foundations of Computational Mathematics

Alexander Ostermann

Frédéric Rousset

Katharina Schratz

2021/6

Fast IIF–WENO method on non-uniform meshes for nonlinear space-fractional convection–diffusion–reaction equations

Journal of Scientific Computing

Huan-Yan Jian

Ting-Zhu Huang

Alexander Ostermann

Xian-Ming Gu

Yong-Liang Zhao

2021/10

See List of Professors in Alexander Ostermann University(Universität Innsbruck)

Co-Authors

H-index: 83
Armin Hansel

Armin Hansel

Universität Innsbruck

H-index: 67
Christian Lubich

Christian Lubich

Eberhard Karls Universität Tübingen

H-index: 57
Hairer Ernst

Hairer Ernst

Université de Genève

H-index: 50
Thomas Loerting

Thomas Loerting

Universität Innsbruck

H-index: 25
Wolfgang Fellin

Wolfgang Fellin

Universität Innsbruck

H-index: 23
Marco Caliari

Marco Caliari

Università degli Studi di Verona

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