World's Best Scientists 2026 revealed!
Alexander Ostermann

Alexander Ostermann

D-Index & Metrics

Mathematics

D-Index
39
Citations
6372
World Ranking
2204
National Ranking
28

Alexander Ostermann publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Alexander Ostermann sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 172 publications — 50th percentile

50% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Alexander Ostermann D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Alexander Ostermann sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 39 D-Index — 41st percentile

41% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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

  • Explicit Exponential Runge-Kutta Methods for Semilinear Parabolic Problems

    Marlis Hochbruck;Alexander Ostermann

  • Exponential Rosenbrock-Type Methods

    Marlis Hochbruck;Alexander Ostermann;Julia Schweitzer

  • Exponential Runge--Kutta methods for parabolic problems

    Marlis Hochbruck;Alexander Ostermann

  • Runge-Kutta methods for parabolic equations and convolution quadrature

    Ch. Lubich;A. Ostermann

  • Multi-grid dynamic iteration for parabolic equations

    C. Lubich;A. Ostermann

  • Implementation of exponential Rosenbrock-type integrators

    Marco Caliari;Alexander Ostermann

  • Linearly implicit time discretization of non-linear parabolic equations

    Ch. Lubich;A. Ostermann

  • Runge-Kutta approximation of quasi-linear parabolic equations

    Christian Lubich;Alexander Ostermann

  • Exponential splitting for unbounded operators

    Eskil Hansen;Alexander Ostermann

  • Geometry by Its History

    Alexander Ostermann;Gerhard Wanner

  • High order splitting methods for analytic semigroups exist

    Eskil Hansen;Alexander Ostermann

  • Low regularity exponential-type integrators for semilinear Schrödinger equations

    Alexander Ostermann;Katharina Schratz

  • A Class of Explicit Exponential General Linear Methods

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

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

    A. Ostermann;M. Roche

  • Consistent tangent operators for constitutive rate equations

    Wolfgang Fellin;Alexander Ostermann

  • Exponential multistep methods of Adams-type

    Marlis Hochbruck;Alexander Ostermann

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

    Vu Thai Luan;Alexander Ostermann

  • Rosenbrock methods for partial differential equations and fractional orders of convergence

    A. Ostermann;M. Roche

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

    Marco Caliari;Peter Kandolf;Alexander Ostermann;Stefan Rainer

  • Comparison of software for computing the action of the matrix exponential

    Marco Caliari;Peter Kandolf;Alexander Ostermann;Stefan Rainer

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

    Alexander Ostermann;Katharina Schratz

Frequent Co-Authors

Michael Oberguggenberger
Michael Oberguggenberger University of Innsbruck
Frédéric Rousset
Frédéric Rousset University of Paris-Saclay
Christian Lubich
Christian Lubich University of Tübingen
Thomas Loerting
Thomas Loerting University of Innsbruck
Martin Mergili
Martin Mergili University of Graz
Ting-Zhu Huang
Ting-Zhu Huang University of Electronic Science and Technology of China
Ernst Hairer
Ernst Hairer University of Geneva
Armin Hansel
Armin Hansel University of Innsbruck
Martin Graus
Martin Graus University of Innsbruck
Olaf Reimer
Olaf Reimer University of Innsbruck

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