World's Best Scientists 2026 revealed!
Award Badge
Mathematics
Germany
2023

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 70 274 232 16 15 362 21346
Engineering and Technology 69 1112 1050 33 32 332 21030

Wolfgang Hackbusch publications per year

The chart shows the history of publications by Wolfgang Hackbusch between 1973 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Wolfgang Hackbusch published across 53 years, from 1973 to 2025, averaging 7.2 papers a year. Output peaked at 23 publications in 2012. 2 of the 382 publications appeared in the last two years.

No. of publications
5 10 15 20
Bar chart. Horizontal axis: year, 1973 to 2025. Vertical axis: number of publications, 0 to 23. Peak 23 publications in 2012. 1973: 1 publication 1974: 0 publications 1975: 2 publications 1976: 1 publication 1977: 2 publications 1978: 4 publications 1979: 3 publications 1980: 5 publications 1981: 7 publications 1982: 5 publications 1983: 3 publications 1984: 4 publications 1985: 15 publications 1986: 8 publications 1987: 3 publications 1988: 2 publications 1989: 14 publications 1990: 4 publications 1991: 9 publications 1992: 6 publications 1993: 3 publications 1994: 14 publications 1995: 14 publications 1996: 5 publications 1997: 8 publications 1998: 7 publications 1999: 5 publications 2000: 8 publications 2001: 6 publications 2002: 10 publications 2003: 13 publications 2004: 9 publications 2005: 14 publications 2006: 9 publications 2007: 21 publications 2008: 15 publications 2009: 14 publications 2010: 5 publications 2011: 6 publications 2012: 23 publications 2013: 4 publications 2014: 10 publications 2015: 12 publications 2016: 14 publications 2017: 17 publications 2018: 0 publications 2019: 7 publications 2020: 4 publications 2021: 5 publications 2022: 0 publications 2023: 0 publications 2024: 1 publication 2025: 1 publication
1973 2025

382 publications in total across all disciplines

View publications per year as a table
Wolfgang Hackbusch: publications per year, 1973 to 2025
Year Publications
1973 1
1974 0
1975 2
1976 1
1977 2
1978 4
1979 3
1980 5
1981 7
1982 5
1983 3
1984 4
1985 15
1986 8
1987 3
1988 2
1989 14
1990 4
1991 9
1992 6
1993 3
1994 14
1995 14
1996 5
1997 8
1998 7
1999 5
2000 8
2001 6
2002 10
2003 13
2004 9
2005 14
2006 9
2007 21
2008 15
2009 14
2010 5
2011 6
2012 23
2013 4
2014 10
2015 12
2016 14
2017 17
2018 0
2019 7
2020 4
2021 5
2022 0
2023 0
2024 1
2025 1
Total 382
Download as CSV

Wolfgang Hackbusch 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 Hackbusch sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 362–366 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 362 publications — 92nd percentile

92% of scientists in this discipline score the same or lower.

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

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18 362
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

Wolfgang Hackbusch 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 Hackbusch sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 70 D-Index, is where this scientist sits. 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: 70 D-Index — 93rd percentile

93% of scientists in this discipline score the same or lower.

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

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18 70
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Research.com Recognitions

  • 2023 - Research.com Mathematics in Germany Leader Award
  • 2006 - German National Academy of Sciences Leopoldina - Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften Mathematics
  • 1996 - Brouwer Medal

Overview

Wolfgang Hackbusch is affiliated with the Max Planck Institute for Mathematics in the Sciences in Germany. Their research predominantly spans the fields of Mathematics and Engineering, with a particular focus on computational and numerical methods. The subfields most associated with their work include Computational Mathematics, Computational Mechanics, Radiology, Nuclear Medicine and Imaging, Computational Theory and Mathematics, and Statistical and Nonlinear Physics.

The main topics of study in Hackbusch's research encompass tensor decomposition and applications, advanced neuroimaging techniques and applications, matrix theory and algorithms, model reduction and neural networks, sparse and compressive sensing techniques, advanced numerical methods in computational mathematics, and numerical methods for differential equations.

Their recent published papers include:

  • "Iterative algorithms for the post-processing of high-dimensional data" (2020) published in Journal of Computational Physics
  • "Modified Iterations for Data-Sparse Solution of Linear Systems" (2021) published in Vietnam Journal of Mathematics
  • "Geometry of tree-based tensor formats in tensor Banach spaces" (2023) published in Annali di Matematica Pura ed Applicata (1923 -)
  • "Numerical Approximation of Poisson Problems in Long Domains" (2021) published in Vietnam Journal of Mathematics
  • "Minimal divergence for border rank-2 tensor approximation" (2021) published in Linear and Multilinear Algebra

Hackbusch has collaborated frequently with several researchers, including Antonio Falcó, Anthony Nouy, Mike Espig, Alexander Litvinenko, and Hermann G. Matthies. Their work appears in multiple respected publication venues such as the Vietnam Journal of Mathematics, Journal of Computational Physics, Annali di Matematica Pura ed Applicata, and Linear and Multilinear Algebra.

Throughout their career, Hackbusch has received recognition including membership in the German National Academy of Sciences Leopoldina in 2006 for contributions to Mathematics and the Brouwer Medal in 1996.

Best Publications

  • Multi-Grid Methods and Applications

    Wolfgang Hackbusch

  • A sparse matrix arithmetic based on H -matrices. Part I: introduction to H -matrices

    W. Hackbusch

  • Iterative Solution of Large Sparse Systems of Equations

    Wolfgang Hackbusch

  • Tensor Spaces and Numerical Tensor Calculus

    Wolfgang Hackbusch

  • On the fast matrix multiplication in the boundary element method by panel clustering

    W. Hackbusch;Z. P. Nowak

  • A New Scheme for the Tensor Representation

    Wolfgang Hackbusch;Stefan Kühn

  • A sparse H -matrix arithmetic. Part II: application to multi-dimensional problems

    W. Hackbusch;B. N. Khoromskij

  • Construction and arithmetics of H -matrices

    Lars Grasedyck;Wolfgang Hackbusch

  • Introduction to Hierarchical Matrices with Applications

    Steffen Börm;Lars Grasedyck;Wolfgang Hackbusch

  • Integral Equations: Theory and Numerical Treatment

    Wolfgang Hackbusch

  • Hierarchical matrices: algorithms and analysis.

    Wolfgang Hackbusch

  • Elliptic Differential Equations

    Wolfgang Hackbusch

  • Elliptic Differential Equations: Theory and Numerical Treatment

    Wolfgang Hackbusch

  • Existence of ℋ-matrix approximants to the inverse FE-matrix of elliptic operators with L ∞ -coefficients

    Mario Bebendorf;Wolfgang Hackbusch

  • A New Convergence Proof for the Multigrid Method Including the V-Cycle

    D. Braess;W. Hackbusch

  • On H2-Matrices

    Wolfgang Hackbusch;Boris N. Khoromskij;Stefan A. Sauter

  • On first and second order box schemes

    W. Hackbusch

  • Theorie und Numerik elliptischer Differentialgleichungen

    Wolfgang Hackbusch

  • Data-sparse approximation by adaptive H 2 -matrices

    W. Hackbusch;S. Börm

  • Efficient computation of lead field bases and influence matrix for the FEM-based EEG and MEG inverse problem

    C H Wolters;C H Wolters;L Grasedyck;W Hackbusch

  • Singular Integral Equations

    Wolfgang Hackbusch

Frequent Co-Authors

Boris N. Khoromskij
Boris N. Khoromskij Max Planck Institute for Mathematics in the Sciences
Stefan A. Sauter
Stefan A. Sauter University of Zurich
Ivan G. Graham
Ivan G. Graham University of Bath
Reinhold Schneider
Reinhold Schneider Technical University of Berlin
Dietrich Braess
Dietrich Braess Ruhr University Bochum
Kai Sundmacher
Kai Sundmacher Max Planck Institute for Dynamics of Complex Technical Systems
Hermann G. Matthies
Hermann G. Matthies Technische Universität Braunschweig
Carsten H. Wolters
Carsten H. Wolters University of Münster
Eugene E. Tyrtyshnikov
Eugene E. Tyrtyshnikov Russian Academy of Sciences
Arnold Reusken
Arnold Reusken RWTH Aachen University

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

Studying Mathematics in the USA opens doors to diverse career pathways, often complemented by advanced degrees in related fields. Many students explore flexible education options, such as the easiest online mba programs to get into, which allow them to enhance their business skills while continuing their math education.

For those interested in leadership roles or entrepreneurship, pursuing the best 1 year dba program online offers a swift yet comprehensive pathway to a Doctorate in Business Administration, blending analytical skills gained from math studies with strategic decision-making.

Financial mathematics is another growing field, and combining math expertise with financial knowledge through online masters in finance programs can open opportunities in banking, investment, and risk management.

For professionals seeking to quickly pivot or advance in their careers, exploring the shortest online mba options provides a fast-track to enhance leadership and management capabilities alongside a strong foundation in mathematics.

Best Scientists Citing Wolfgang Hackbusch

Trending Scientists

Recently Published Articles