Alexander Ostermann

5.4k total citations · 1 hit paper
126 papers, 3.5k citations indexed

About

Alexander Ostermann is a scholar working on Numerical Analysis, Computational Mechanics and Computational Theory and Mathematics. According to data from OpenAlex, Alexander Ostermann has authored 126 papers receiving a total of 3.5k indexed citations (citations by other indexed papers that have themselves been cited), including 90 papers in Numerical Analysis, 64 papers in Computational Mechanics and 34 papers in Computational Theory and Mathematics. Recurrent topics in Alexander Ostermann's work include Numerical methods for differential equations (81 papers), Advanced Numerical Methods in Computational Mathematics (57 papers) and Differential Equations and Numerical Methods (34 papers). Alexander Ostermann is often cited by papers focused on Numerical methods for differential equations (81 papers), Advanced Numerical Methods in Computational Mathematics (57 papers) and Differential Equations and Numerical Methods (34 papers). Alexander Ostermann collaborates with scholars based in Austria, Germany and Italy. Alexander Ostermann's co-authors include Marlis Hochbruck, Ch. Lubich, Lukas Einkemmer, Christian Lubich, Eskil Hansen, Katharina Schratz, Marco Caliari, Mechthild Thalhammer, Wolfgang Fellin and William M. D. Wright and has published in prestigious journals such as Journal of Applied Physics, Journal of Computational Physics and Physical Chemistry Chemical Physics.

In The Last Decade

Alexander Ostermann

119 papers receiving 3.3k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Exponential integrators

2010 706 citations Alexander Ostermann et al. profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Alexander Ostermann Austria	30	2.5k	1.5k	873	703	542	126	3.5k
Marlis Hochbruck Germany	22	2.4k 1.0×	1.3k 0.8×	1.3k 1.5×	833 1.2×	573 1.1×	67	3.4k
J. M. Sanz‐Serna Spain	38	3.5k 1.4×	1.9k 1.2×	955 1.1×	990 1.4×	1.7k 3.1×	142	5.4k
Arieh Iserles United Kingdom	36	2.8k 1.1×	1.1k 0.7×	1.1k 1.2×	621 0.9×	881 1.6×	184	5.1k
Steven J. Ruuth Canada	29	1.6k 0.6×	2.9k 1.9×	556 0.6×	366 0.5×	324 0.6×	58	4.2k
Weizhang Huang United States	32	1.1k 0.4×	2.4k 1.5×	616 0.7×	267 0.4×	263 0.5×	108	3.3k
Shi Jin United States	43	1.1k 0.4×	3.8k 2.5×	651 0.7×	625 0.9×	1.1k 2.0×	254	6.8k
Beny Neta United States	32	2.8k 1.1×	942 0.6×	1.3k 1.5×	528 0.8×	106 0.2×	150	3.5k
J. A. C. Weideman South Africa	22	869 0.3×	616 0.4×	400 0.5×	389 0.6×	570 1.1×	49	2.7k
Martin J. Gander Switzerland	33	1.2k 0.5×	2.2k 1.4×	1.5k 1.7×	1.4k 2.0×	301 0.6×	158	3.6k
T. A. Zang United States	18	957 0.4×	2.2k 1.4×	346 0.4×	282 0.4×	397 0.7×	43	4.1k

Countries citing papers authored by Alexander Ostermann

Since Specialization

Citations

This map shows the geographic impact of Alexander Ostermann's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Alexander Ostermann with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alexander Ostermann more than expected).

Fields of papers citing papers by Alexander Ostermann

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Alexander Ostermann. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Alexander Ostermann. The network helps show where Alexander Ostermann may publish in the future.

Co-authorship network of co-authors of Alexander Ostermann

This figure shows the co-authorship network connecting the top 25 collaborators of Alexander Ostermann. A scholar is included among the top collaborators of Alexander Ostermann based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Alexander Ostermann. Alexander Ostermann is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Caliari, Marco, et al.. (2024). Accelerating Exponential Integrators to Efficiently Solve Semilinear Advection-Diffusion-Reaction Equations. SIAM Journal on Scientific Computing. 46(2). A906–A928. 4 indexed citations

Pouragha, Mehdi, et al.. (2023). On the friction dependency of the stress Lode angle. International Journal for Numerical and Analytical Methods in Geomechanics. 48(4). 1001–1017. 2 indexed citations

Caliari, Marco, et al.. (2022). A μ-mode integrator for solving evolution equations in Kronecker form. Journal of Computational Physics. 455. 110989–110989. 8 indexed citations

Einkemmer, Lukas, et al.. (2021). Computer physics communications / An exponential integrator/WENO discretization for sonic-boom simulation on modern computer hardware. Digital Library of the University of Innsbruck (University of Innsbruck). 1 indexed citations

Ostermann, Alexander, Frédéric Rousset, & Katharina Schratz. (2019). Error estimates of a Fourier integrator for the cubic Schr\\"odinger\n equation at low regularity. arXiv (Cornell University). 35 indexed citations

Hansen, Eskil, Alexander Ostermann, & Katharina Schratz. (2016). The error structure of the Douglas–Rachford splitting method for stiff linear problems. Journal of Computational and Applied Mathematics. 303. 140–145. 2 indexed citations

Ostermann, Alexander, et al.. (2016). Parallel exponential Rosenbrock methods. Computers & Mathematics with Applications. 71(5). 1137–1150. 24 indexed citations

Mergili, Martin, Jan‐Thomas Fischer, Wolfgang Fellin, Alexander Ostermann, & Shiva P. Pudasaini. (2015). r.avaflow: An advanced open source computational framework for the GIS-based simulation of two-phase mass flows and process chains. EGUGA. 3886. 1 indexed citations

Ostermann, Alexander, et al.. (2014). A residual based error estimate for Leja interpolation of matrix functions. Linear Algebra and its Applications. 456. 157–173. 5 indexed citations

10.

Einkemmer, Lukas & Alexander Ostermann. (2014). An almost symmetric Strang splitting scheme for the construction of high order composition methods. Journal of Computational and Applied Mathematics. 271(100). 307–318. 7 indexed citations

11.

Einkemmer, Lukas & Alexander Ostermann. (2014). An almost symmetric Strang splitting scheme for nonlinear evolution equations. Computers & Mathematics with Applications. 67(12). 2144–2157. 10 indexed citations

12.

Einkemmer, Lukas & Alexander Ostermann. (2014). On the error propagation of semi-Lagrange and Fourier methods for advection problems. Computers & Mathematics with Applications. 69(3). 170–179. 4 indexed citations

13.

Huber, Stefan E., Tobias Hell, Michael Probst, & Alexander Ostermann. (2013). Numerical investigation of the elastic scattering of hydrogen (isotopes) and helium at graphite (0001) surfaces at beam energies of 1 to 4 eV using a split-step Fourier method. Theoretical Chemistry Accounts. 132(4). 1337–1337. 3 indexed citations

14.

Koskela, Antti & Alexander Ostermann. (2012). Exponential Taylor methods: Analysis and implementation. Computers & Mathematics with Applications. 65(3). 487–499. 13 indexed citations

15.

Ostermann, Alexander, et al.. (2005). A second-order Magnus-type integrator for nonautonomous parabolic problems. Journal of Computational and Applied Mathematics. 189(1-2). 142–156. 19 indexed citations

16.

Lubich, Christian & Alexander Ostermann. (1995). Runge-Kutta Approximation of Quasi-Linear Parabolic Equations. Mathematics of Computation. 64(210). 601–601. 61 indexed citations

17.

Lubich, Christian & Alexander Ostermann. (1995). Runge-Kutta approximation of quasi-linear parabolic equations. Mathematics of Computation. 64(210). 601–627. 63 indexed citations

18.

Lubich, Ch. & Alexander Ostermann. (1993). Runge-Kutta methods for parabolic equations and convolution quadrature. Mathematics of Computation. 60(201). 105–131. 102 indexed citations

19.

Lubich, Ch. & Alexander Ostermann. (1993). Runge-Kutta Methods for Parabolic Equations and Convolution Quadrature. Mathematics of Computation. 60(201). 105–105. 15 indexed citations

20.

Ostermann, Alexander, et al.. (1992). Runge-Kutta methods for partial differential equations and fractional orders of convergence. Mathematics of Computation. 59(200). 403–420. 56 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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