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Wolfgang Arendt

Wolfgang Arendt

D-Index & Metrics

Mathematics

D-Index
40
Citations
10361
World Ranking
1998
National Ranking
126

Wolfgang Arendt 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 Wolfgang Arendt 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.

Wolfgang Arendt 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 Wolfgang Arendt 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: 40 D-Index — 45th percentile

45% of scientists in this discipline score the same or lower.

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

Overview

Wolfgang Arendt is affiliated with the University of Ulm in Germany and specializes in the fields of Mathematics and Computer Science. Their research primarily spans applied mathematics, computational theory and mathematics, mathematical physics, control and systems engineering, and computational mechanics.

Their work encompasses several main topics including advanced mathematical modeling in engineering, nonlinear partial differential equations, numerical methods in inverse problems, stability and controllability of differential equations, spectral theory in mathematical physics, advanced numerical methods in computational mathematics, and matrix theory and algorithms.

Published contributions by Wolfgang Arendt appear in various frequent publication venues such as:

  • arXiv (Cornell University)
  • Journal of Mathematical Analysis and Applications
  • Illinois Journal of Mathematics
  • IMA Journal of Numerical Analysis
  • DOAJ (DOAJ: Directory of Open Access Journals)

Some recent papers authored by Wolfgang Arendt include:

  • Strict Positivity for the Principal Eigenfunction of Elliptic Operators with Various Boundary Conditions, 2020, DOAJ (DOAJ: Directory of Open Access Journals)
  • Lions' representation theorem and applications, 2022, Journal of Mathematical Analysis and Applications
  • Extensions of dissipative and symmetric operators, 2023, Semigroup Forum
  • Semilinear elliptic equations on rough domains, 2022, Journal of Differential Equations
  • Denjoy-Wolff theory and spectral properties of weighted composition operators on Hol(D), 2022, Illinois Journal of Mathematics

Wolfgang Arendt has collaborated frequently with several coauthors, including:

  • Karsten Urban
  • Isabelle Chalendar
  • Robert Eymard
  • Manfred Sauter
  • A. F. M. ter Elst

In addition to research articles, Wolfgang Arendt has contributed to book publications. Notably, they authored a book titled Partial Differential Equations, published by Springer Nature in 2023, which has garnered citations within the academic community.

Best Publications

  • One-parameter Semigroups of Positive Operators

    Wolfgang Arendt;Annette Grabosch;Günther Greiner;Ulrich Moustakas

  • Vector-Valued Laplace Transforms and Cauchy Problems

    Wolfgang Arendt;Charles J. K. Batty;Matthias Hieber;Frank Neubrander

  • Tauberian theorems and stability of one-parameter semigroups

    W. Arendt;C. J. K. Batty

  • Resolvent Positive Operators

    Wolfgang Arendt

  • The operator-valued Marcinkiewicz multiplier theorem and maximal regularity

    Wolfgang Arendt;Shangquan Bu

  • Gaussian estimates for second order elliptic operators with boundary conditions

    W Arendt;ter Afm Tom Elst

  • OPERATOR-VALUED FOURIER MULTIPLIERS ON PERIODIC BESOV SPACES AND APPLICATIONS

    Wolfgang Arendt;Shangquan Bu

  • Weyl's Law: Spectral Properties of the Laplacian in Mathematics and Physics

    Wolfgang Arendt;Robin Nittka;Wolfgang Peter;Frank Steiner

  • L p -maximal regularity for non-autonomous evolution equations

    Wolfgang Arendt;Ralph Chill;Simona Fornaro;César Poupaud

  • Gaussian estimates and interpolation of the spectrum in $L^p$

    Wolfgang Arendt

  • The Laplacian with Robin Boundary Conditions on Arbitrary Domains

    Wolfgang Arendt;Mahamadi Warma

  • Friedlander's eigenvalue inequalities and the Dirichlet-to-Neumann semigroup

    Wolfgang Arendt;Rafe Mazzeo

  • Sectorial forms and degenerate differential operators

    W. Arendt;A. F. M. ter Elst

  • Almost Periodic Solutions of First- and Second-Order Cauchy Problems

    W. Arendt;C.J.K. Batty

  • The Dirichlet-to-Neumann operator on rough domains

    W. Arendt;A.F.M. ter Elst

  • Local Integrated Semigroups: Evolution with Jumps of Regularity

    Unknown

  • Integral representations of resolvents and semigroups

    Wolfgang Arendt;Alexander V. Bukhvalov

  • The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions

    W. Arendt;G. Metafune;D. Pallara;S. Romanell

  • Vector-valued holomorphic functions revisited

    Wolfgang Arendt;Nicolai Nikolski

  • Vector-valued Tauberian theorems and asymptotic behavior of linear Volterra equations,

    Wolfgang Arendt;Jan Prüss

  • Chapter 1 Semigroups and evolution equations: Functional calculus, regularity and kernel estimates

    Wolfgang Arendt

  • The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions

    Wolfgang Arendt;G. Metafune;D. Pallara;S. Romanelli

Frequent Co-Authors

Rafe Mazzeo
Rafe Mazzeo Stanford University
Wolfgang P. Schleich
Wolfgang P. Schleich University of Ulm
Serge Nicaise
Serge Nicaise University Polytechnic Hauts-de-France
Herbert Amann
Herbert Amann University of Zurich
Volker Mehrmann
Volker Mehrmann Technical University of Berlin
Volker Schmidt
Volker Schmidt University of Ulm

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