World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
42
Citations
8225
World Ranking
1773
National Ranking
105

Engineering and Technology

D-Index
41
Citations
8080
World Ranking
6868
National Ranking
229

Fredi Tröltzsch 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 Fredi Tröltzsch 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: 170 publications — 49th percentile

49% of scientists in this discipline score the same or lower.

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

Fredi Tröltzsch 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 Fredi Tröltzsch 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: 42 D-Index — 51st percentile

51% of scientists in this discipline score the same or lower.

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

Overview

Fredi Tröltzsch is affiliated with the Technical University of Berlin in Germany, where their research intersects mathematics, computer science, and engineering. Their work primarily focuses on advanced mathematical modeling, numerical analysis, and control theory applied to differential equations and computational mathematics.

Their main fields of study include:

  • Mathematics
  • Computer Science
  • Engineering

Within these fields, they have contributed significantly to several subfields such as:

  • Computational Theory and Mathematics
  • Computational Mechanics
  • Numerical Analysis
  • Control and Systems Engineering
  • Applied Mathematics

The topics covered in their research reflect a broad and technical scope with emphasis on:

  • Advanced Mathematical Modeling in Engineering
  • Advanced Numerical Methods in Computational Mathematics
  • Stability and Controllability of Differential Equations
  • Numerical Methods in Inverse Problems
  • Nonlinear Partial Differential Equations
  • Differential Equations and Numerical Methods
  • Solidification and Crystal Growth Phenomena

Tröltzsch has published extensively in well-regarded venues such as:

  • arXiv (Cornell University)
  • ESAIM Control Optimisation and Calculus of Variations
  • Applied Mathematics & Optimization
  • Mathematical Control and Related Fields
  • SIAM Journal on Scientific Computing

Recent publications by Tröltzsch illustrate their focus on finite element methods, optimal control, and stability issues in partial differential equations. Selected recent papers include:

  • Unstructured Space-Time Finite Element Methods for Optimal Control of Parabolic Equations (2021), SIAM Journal on Scientific Computing
  • Space-Time Finite Element Discretization of Parabolic Optimal Control Problems with Energy Regularization (2021), SIAM Journal on Numerical Analysis
  • Stability for Semilinear Parabolic Optimal Control Problems with Respect to Initial Data (2022), Applied Mathematics & Optimization
  • On Optimal Control Problems with Controls Appearing Nonlinearly in an Elliptic State Equation (2020), SIAM Journal on Control and Optimization
  • Second-order Sufficient Conditions for Sparse Optimal Control of Singular Allen-Cahn Systems with Dynamic Boundary Conditions (2023), Discrete and Continuous Dynamical Systems - S

Tröltzsch collaborates regularly with several other researchers, forming a network of co-authors active in related domains. Frequent co-authors include:

  • Jürgen Sprekels
  • Ulrich Langer
  • Olaf Steinbach
  • Huidong Yang
  • Eduardo Casas

Best Publications

  • Optimal Control of Partial Differential Equations: Theory, Methods and Applications

    Fredi Tröltzsch

  • Optimal Control of Partial Differential Equations

    Karl-Heinz Hoffmann;Günter Leugering;Fredi Tröltzsch;Stiftung Caesar

  • Optimale Steuerung partieller Differentialgleichungen

    Fredi Tröltzsch

  • Error Estimates for the Numerical Approximation of a Semilinear Elliptic Control Problem

    Nadir Arada;Eduardo Casas;Fredi Tröltzsch

  • POD a-posteriori error estimates for linear-quadratic optimal control problems

    F. Tröltzsch;S. Volkwein

  • Optimal Control of PDEs with Regularized Pointwise State Constraints

    Christian Meyer;Arnd Rösch;Fredi Tröltzsch

  • Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints

    Eduardo Casas;Juan Carlos de los Reyes;Fredi Tröltzsch

  • Error Estimates for the Numerical Approximation of Boundary Semilinear Elliptic Control Problems

    Eduardo Casas;Mariano Mateos;Fredi Tröltzsch

  • Second-Order Necessary and Sufficient Optimality Conditions for Optimization Problems and Applications to Control Theory

    Eduardo Casas;Fredi Tröltzsch

  • Supplementary results on partial differential equations

    Unknown

  • Second Order Sufficient Optimality Conditions for Nonlinear Parabolic Control Problems with State Constraints

    Jean-Pierre Raymond;Fredi Tröltzsch

  • Optimality conditions for parabolic control problems and applications

    Fredi Tröltzsch

  • Second Order Sufficient Optimality Conditions for Some State-constrained Control Problems of Semilinear Elliptic Equations

    Eduardo Casas;Fredi Tröltzsch;Andreas Unger

  • Second Order Analysis for Optimal Control Problems: Improving Results Expected From Abstract Theory

    Eduardo Casas;Fredi Tröltzsch

  • Second-order sufficient optimality conditions for the optimal control of navier-stokes equations

    Fredi Tröltzsch;Daniel Wachsmuth

  • Second Order Sufficient Optimality Conditions for a Nonlinear Elliptic Boundary Control Problem

    E. Casas;Fredi Tröltzsch;A. Unger

  • Second Order Optimality Conditions and Their Role in PDE Control

    Eduardo Casas;Fredi Tröltzsch

  • On two numerical methods for state-constrained elliptic control problems

    Chr. Meyer;U. Prüfert;F. Tröltzsch

  • Sparse Optimal Control of the Schlögl and FitzHugh–Nagumo Systems

    Eduardo Casas;Christopher Ryll;Fredi Tröltzsch

  • On NEMYTSKIJ Operators in Lp‐Spaces of Abstract Functions

    H. Goldberg;W. Kampowsky;F. Tröltzsch

  • Second-Order Necessary Optimality Conditions for Some State-Constrained Control Problems of Semilinear Elliptic Equations

    E. Casas;F. Tröltzsch

Frequent Co-Authors

Eduardo Casas
Eduardo Casas University of Cantabria
Günter Leugering
Günter Leugering University of Erlangen-Nuremberg
Serge Nicaise
Serge Nicaise University Polytechnic Hauts-de-France
Stefan Volkwein
Stefan Volkwein University of Konstanz
Karl Kunisch
Karl Kunisch University of Graz
Irena Lasiecka
Irena Lasiecka University of Memphis
Eckehard Schöll
Eckehard Schöll Technical University of Berlin
Michael Hintermüller
Michael Hintermüller Weierstrass Institute for Applied Analysis and Stochastics
Ulrich Langer
Ulrich Langer Johannes Kepler University of Linz
Enrique Zuazua
Enrique Zuazua University of Erlangen-Nuremberg

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