World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
37
Citations
7115
World Ranking
2460
National Ranking
151

Michael Hinze 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 Michael Hinze 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: 182 publications — 54th percentile

54% of scientists in this discipline score the same or lower.

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

Michael Hinze 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 Michael Hinze 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: 37 D-Index — 33rd percentile

33% of scientists in this discipline score the same or lower.

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

Overview

Michael Hinze is affiliated with the University of Koblenz and Landau in Germany. The primary areas of their research lie within Engineering and Computer Science, focusing on topics such as Advanced Numerical Methods in Computational Mathematics, Model Reduction and Neural Networks, and Advanced Mathematical Modeling in Engineering.

Their work spans several subfields including Computational Mechanics, Computational Theory and Mathematics, Statistical and Nonlinear Physics, Civil and Structural Engineering, and Numerical Analysis.

Frequent publication venues for their research include arXiv (Cornell University) with 11 papers, the Mathematical Control and Related Fields with 2 papers, and singular contributions to ESAIM Control Optimisation and Calculus of Variations, Computer Physics Communications, and the Journal of Computational Physics.

Hinze's most recent papers demonstrate a strong focus on fluid dynamics and computational methods:

  • Adjoint complement to the volume-of-fluid method for immiscible flows, 2021, Journal of Computational Physics
  • A novel W1,∞ approach to shape optimisation with Lipschitz domains, 2021, ESAIM Control Optimisation and Calculus of Variations
  • Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data, 2020, arXiv (Cornell University)
  • An incremental singular value decomposition approach for large-scale spatially parallel & distributed but temporally serial data - applied to technical flows, 2023, Computer Physics Communications
  • Two-phase flow simulations of surface waves in wind-forced conditions, 2023, Physics of Fluids

Hinze has coauthored frequently with several researchers, including Klaus Deckelnick, Thomas Rung, Philip J. Herbert, Niklas Kühl, and Evelyn Herberg.

In addition to journal publications, Hinze has contributed to the literature through book publications with Springer Nature. Notable titles include Model Reduction of Complex Dynamical Systems (2021) and Model Order Reduction and Applications (2023).

Best Publications

  • Optimization with PDE Constraints

    Michael Hinze;Rene Pinnau;Michael Ulbrich;Stefan Ulbrich

  • A variational discretization concept in control constrained optimization: the linear-quadratic case

    M. Hinze

  • Proper Orthogonal Decomposition Surrogate Models for Nonlinear Dynamical Systems: Error Estimates and Suboptimal Control

    Michael Hinze;Stefan Volkwein

  • Second Order Methods for Optimal Control of Time-Dependent Fluid Flow

    Michael Hinze;Karl Kunisch

  • Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem

    Klaus Deckelnick;Michael Hinze

  • Optimal and instantaneous control of the instationary Navier-Stokes equations

    Michael Hinze

  • Instantaneous control of backward-facing step flows

    Haecheon Choi;Michael Hinze;Karl Kunisch

  • Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains

    Klaus Deckelnick;Andreas Günther;Michael Hinze

  • Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition

    M. Hinze;S. Volkwein

  • Model reduction for circuit simulation

    Peter Benner;Michael Hinze;E. Jan W. ter Maten

  • Analysis of instantaneous control for the Burgers equation

    M. Hinze;S. Volkwein

  • Optimal control of the free boundary in a two-phase Stefan problem

    Michael Hinze;Stefan Ziegenbalg

  • Moreau-Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment

    Michael Hintermüller;Michael Hinze

  • A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow

    Harald Garcke;Michael Hinze;Christian Kahle

  • An adaptive finite-element Moreau-Yosida-based solver for a non-smooth Cahn-Hilliard problem

    M. Hintermuller;M. Hinze;M. H. Tber

  • A SQP-Semismooth Newton-type Algorithm applied to Control of the instationary Navier--Stokes System Subject to Control Constraints

    M. Hintermüller;M. Hinze

  • Second order methods for boundary control of the instationary Navier-Stokes system

    Michael Hinze;Karl Kunisch

  • Three Control Methods for Time-Dependent Fluid Flow

    Michael Hinze;Karl Kunisch

  • A note on the approximation of elliptic control problems with bang-bang controls

    Klaus Deckelnick;Michael Hinze

  • Discrete Concepts in PDE Constrained Optimization

    Michael Hinze

  • Optimal control of the free boundary in a two‐phase Stefan problem with flow driven by convection

    Michael Hinze;Stefan Ziegenbalg

Frequent Co-Authors

Harald Garcke
Harald Garcke University of Regensburg
Michael Hintermüller
Michael Hintermüller Weierstrass Institute for Applied Analysis and Stochastics
Peter Benner
Peter Benner Max Planck Institute for Dynamics of Complex Technical Systems
Karl Kunisch
Karl Kunisch University of Graz
Stefan Volkwein
Stefan Volkwein University of Konstanz
Charles M. Elliott
Charles M. Elliott University of Warwick
Christian Meyer
Christian Meyer Greifswald University Hospital
Fredi Tröltzsch
Fredi Tröltzsch Technical University of Berlin
Günter Leugering
Günter Leugering University of Erlangen-Nuremberg
Moritz Diehl
Moritz Diehl University of Freiburg

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