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Gerald Warnecke

Gerald Warnecke

Otto-von-Guericke University Magdeburg
Germany

Last Updated:

D-Index & Metrics

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Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 34 2930 2620 179 163 168 4424

Gerald Warnecke publications per year

The chart shows the history of publications by Gerald Warnecke between 1961 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Gerald Warnecke published across 65 years, from 1961 to 2025, averaging 3.1 papers a year. Output peaked at 14 publications in 2008. 5 of the 201 publications appeared in the last two years.

No. of publications
5 10
Bar chart. Horizontal axis: year, 1961 to 2025. Vertical axis: number of publications, 0 to 14. Peak 14 publications in 2008. 1961: 1 publication 1962: 0 publications 1963: 0 publications 1964: 0 publications 1965: 0 publications 1966: 0 publications 1967: 0 publications 1968: 0 publications 1969: 0 publications 1970: 0 publications 1971: 0 publications 1972: 0 publications 1973: 0 publications 1974: 0 publications 1975: 0 publications 1976: 0 publications 1977: 0 publications 1978: 0 publications 1979: 0 publications 1980: 0 publications 1981: 0 publications 1982: 0 publications 1983: 0 publications 1984: 0 publications 1985: 0 publications 1986: 0 publications 1987: 1 publication 1988: 1 publication 1989: 2 publications 1990: 4 publications 1991: 1 publication 1992: 1 publication 1993: 3 publications 1994: 2 publications 1995: 1 publication 1996: 0 publications 1997: 1 publication 1998: 1 publication 1999: 13 publications 2000: 5 publications 2001: 8 publications 2002: 4 publications 2003: 13 publications 2004: 9 publications 2005: 9 publications 2006: 12 publications 2007: 12 publications 2008: 14 publications 2009: 7 publications 2010: 4 publications 2011: 12 publications 2012: 14 publications 2013: 8 publications 2014: 7 publications 2015: 3 publications 2016: 1 publication 2017: 2 publications 2018: 3 publications 2019: 6 publications 2020: 5 publications 2021: 1 publication 2022: 5 publications 2023: 0 publications 2024: 2 publications 2025: 3 publications
1961 2025

201 publications in total across all disciplines

View publications per year as a table
Gerald Warnecke: publications per year, 1961 to 2025
Year Publications
1961 1
1962 0
1963 0
1964 0
1965 0
1966 0
1967 0
1968 0
1969 0
1970 0
1971 0
1972 0
1973 0
1974 0
1975 0
1976 0
1977 0
1978 0
1979 0
1980 0
1981 0
1982 0
1983 0
1984 0
1985 0
1986 0
1987 1
1988 1
1989 2
1990 4
1991 1
1992 1
1993 3
1994 2
1995 1
1996 0
1997 1
1998 1
1999 13
2000 5
2001 8
2002 4
2003 13
2004 9
2005 9
2006 12
2007 12
2008 14
2009 7
2010 4
2011 12
2012 14
2013 8
2014 7
2015 3
2016 1
2017 2
2018 3
2019 6
2020 5
2021 1
2022 5
2023 0
2024 2
2025 3
Total 201
Download as CSV

Gerald Warnecke publications per year - data summary

  • Gerald Warnecke, a Mathematics scholar from Otto-von-Guericke University Magdeburg, has 201 publications recorded across 65 years, from 1961 to 2025.
  • The oldest publication on record dates to 1961 and the most recent to 2025.
  • The most productive years are 2008 and 2012, with 14 publications each.
  • The least productive years with any output are 1961, 1987, 1988, 1991 and others, with 1 publication each.
  • 27 of the 65 years in the span carry no publications at all (1962, 1963, 1964, 1965 and others).
  • The rate of publication averages 3.1 papers per year over the whole span, or 5.3 per year counting only the 38 years with at least one publication.
  • The last 5 years on the chart (2021-2025) hold 11 publications, 5% of the career total.
  • Split into equal eras - 1961-1982: 1 publication (0.0 per year); 1983-2004: 70 publications (3.2 per year); 2005-2025: 130 publications (6.2 per year).
  • Comparing the opening and closing eras, the overall trend of publication is rising.

Gerald Warnecke 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 Gerald Warnecke 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, 167–171 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: 168 publications — 47th percentile

47% 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
167–171 102 168
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
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

Gerald Warnecke publication distribution in Mathematics in 2026 - data summary

  • The chart plots the publication count of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 100 ranges running from 42–46 to 537+ publications.
  • Gerald Warnecke, a Mathematics scholar from Otto-von-Guericke University Magdeburg, records 168 publications - the 47th percentile of the discipline.
  • 47% of ranked Mathematics scientists score the same or lower than Gerald Warnecke, and about 53% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Gerald Warnecke ranks below the median.
  • The most crowded range is 142–146 publications, holding 112 scientists (3% of the field).
  • 47% of the field sits in the lowest quarter of the value range (up to 162–166 publications), so the distribution leans towards the lower end of the scale.
  • The final bar has no upper bound: it groups every scientist with 537 publications or more, 100 scientists in all (3% of the field).

Gerald Warnecke 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 Gerald Warnecke 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, 34 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: 34 D-Index — 21st percentile

21% 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 34
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
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

Gerald Warnecke D-index placement in Mathematics in 2026 - data summary

  • The chart plots the discipline H-index (D-index) of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 57 ranges running from 30 to 86+ D-Index.
  • Gerald Warnecke, a Mathematics scholar from Otto-von-Guericke University Magdeburg, records 34 D-Index - the 21st percentile of the discipline.
  • 21% of ranked Mathematics scientists score the same or lower than Gerald Warnecke, and about 79% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Gerald Warnecke ranks below the median.
  • The most crowded range is 30 D-Index, holding 174 scientists (5% of the field).
  • 58% of the field sits in the lowest quarter of the value range (up to 44 D-Index), so the distribution is heavily right-skewed and high scores are rare.
  • The final bar has no upper bound: it groups every scientist with 86 D-Index or more, 99 scientists in all (3% of the field).

Overview

Gerald Warnecke is affiliated with Otto-von-Guericke University Magdeburg in Germany. Their primary fields of study lie in Engineering and Mathematics, with a strong focus on Computational Mechanics and Applied Mathematics. Their research integrates multiple aspects of Computational Fluid Dynamics and Aerodynamics, Gas Dynamics and Kinetic Theory, and Navier-Stokes equation solutions.

Their work spans complex topics such as Advanced Mathematical Modeling in Engineering, Solidification and crystal growth phenomena, Cosmology and Gravitation Theories, and Analytical Chemistry and Chromatography.

Warnecke's recent publications include:

  • "A new method to discretize a model for isothermal flow with a multi-component equation of state" (2022, Journal of Computational and Applied Mathematics)
  • "Analysis and experimental demonstration of temperature step gradients in preparative liquid chromatography" (2022, Journal of Chromatography A)
  • "Radially symmetric solutions of the ultra-relativistic Euler equations" (2021, Methods and Applications of Analysis)
  • "The Riemann problem for a two-phase mixture hyperbolic system with phase function and multi-component equation of state" (2023, Quarterly of Applied Mathematics)
  • "On Godunov's interesting class of systems - The symmetric hyperbolic Euler equations of gas dynamics" (2024, Journal of Computational Physics)

Frequent coauthors in their work are:

  • Maren Hantke
  • Christoph Matern
  • Hazem Yaghi
  • Matthias Kunik
  • Hailiang Liu

Warnecke has published regularly in venues such as:

  • arXiv (Cornell University)
  • Journal of Chromatography A
  • Journal of Computational and Applied Mathematics
  • Methods and Applications of Analysis
  • Quarterly of Applied Mathematics

Best Publications

  • Improved accuracy and convergence of discretized population balance for aggregation: The cell average technique

    J. Kumar;M. Peglow;G. Warnecke;S. Heinrich

  • Modeling phase transition for compressible two-phase flows applied to metastable liquids

    Ali Zein;Maren Hantke;Gerald Warnecke

  • The Riemann problem for the Baer-Nunziato two-phase flow model

    Nikolai Andrianov;Gerald Warnecke

  • A comparative study of high resolution schemes for solving population balances in crystallization

    Shamsul Qamar;Shamsul Qamar;M. P. Elsner;I. A. Angelov;Gerald Warnecke

  • Efficient and accurate numerical simulation of nonlinear chromatographic processes

    Shumaila Javeed;Shamsul Qamar;Shamsul Qamar;Andreas Seidel-Morgenstern;Andreas Seidel-Morgenstern;Gerald Warnecke

  • An efficient numerical technique for solving population balance equation involving aggregation, breakage, growth and nucleation

    Jitendra Kumar;Mirko Peglow;Gerald Warnecke;Stefan Heinrich

  • A direct Eulerian GRP scheme for compressible fluid flows

    Matania Ben-Artzi;Jiequan Li;Gerald Warnecke

  • Hybrid Stochastic and Deterministic Simulations of Calcium Blips

    S. Rüdiger;J.W. Shuai;W. Huisinga;Ch. Nagaiah

  • A posteriori error analysis for numerical approximations of Friedrichs systems

    Paul Houston;John A. Mackenzie;Endre Süli;Gerald Warnecke

  • Numerical solution of population balance equations for nucleation, growth and aggregation processes

    Shamsul Qamar;Gerald Warnecke

  • Evolution Galerkin methods for hyperbolic systems in two space dimensions

    M. Lukáčová-Medvid'ová;K. W. Morton;G. Warnecke

  • A Modified Fractional Step Method for the Accurate Approximation of Detonation Waves

    Christiane Helzel;Randall J. Leveque;Gerald Warnecke

  • On the Solution to The Riemann Problem for the Compressible Duct Flow

    Gerald Warnecke;Nikolai Andrianov

  • Solving population balance equations for two-component aggregation by a finite volume scheme

    Shamsul Qamar;Gerald Warnecke

  • Finite volume evolution Galerkin methods for nonlinear hyperbolic systems

    M. Lukáčová-Medvid'ová;J. Saibertová;G. Warnecke

  • The cell average technique for solving multi-dimensional aggregation population balance equations

    Jitendra Kumar;Mirko Peglow;Gerald Warnecke;Stefan Heinrich

  • On the solution of population balances for nucleation, growth, aggregation and breakage processes

    Shamsul Qamar;Gerald Warnecke;Martin Peter Elsner

  • Adaptive high-resolution schemes for multidimensional population balances in crystallization processes

    Shamsul Qamar;Shamsul Qamar;A. Ashfaq;A. Ashfaq;Gerald Warnecke;I. A. Angelov

  • Error Estimates for a Combined Finite Volume--Finite Element Method for Nonlinear Convection--Diffusion Problems

    Miloslav Feistauer;Jirí Felcman;Mária Lukácová-Medvidová;Gerald Warnecke

  • Comparison of numerical methods for solving population balance equations incorporating aggregation and breakage

    J. Kumar;G. Warnecke;M. Peglow;S. Heinrich

  • High resolution schemes for solving population balances in crystallization

    S. Qamar;S. Qamar;M. P. Elsner;I. Angelov;G. Warnecke

Frequent Co-Authors

Andreas Seidel-Morgenstern
Andreas Seidel-Morgenstern Max Planck Society
Stefan Heinrich
Stefan Heinrich Hamburg University of Technology
Evangelos Tsotsas
Evangelos Tsotsas Otto-von-Guericke University Magdeburg
Wolfgang L. Wendland
Wolfgang L. Wendland University of Stuttgart
Richard Saurel
Richard Saurel Aix-Marseille University
Philippe Laurençot
Philippe Laurençot Toulouse Mathematics Institute
Michael J. Hounslow
Michael J. Hounslow University of Sheffield
Endre Süli
Endre Süli University of Oxford
Ian Parker
Ian Parker University of California, Irvine
Gavin P. Reynolds
Gavin P. Reynolds Sheffield Hallam University

External Links

Personal website of Gerald Warnecke

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Best Scientists Citing Gerald Warnecke

Andreas Seidel-Morgenstern

Andreas Seidel-Morgenstern

Max Planck Society

Publications: 77

Evangelos Tsotsas

Evangelos Tsotsas

Otto-von-Guericke University Magdeburg

Publications: 36

Michael Dumbser

Michael Dumbser

University of Trento

Publications: 32

Zoltan K. Nagy

Zoltan K. Nagy

Purdue University West Lafayette

Publications: 29

Achim Kienle

Achim Kienle

Otto-von-Guericke University Magdeburg

Publications: 20

Ingmar Nopens

Ingmar Nopens

Ghent University

Publications: 18

Kai Sundmacher

Kai Sundmacher

Max Planck Institute for Dynamics of Complex Technical Systems

Publications: 15

Rohit Ramachandran

Rohit Ramachandran

Rutgers, The State University of New Jersey

Publications: 15

Krist V. Gernaey

Krist V. Gernaey

Technical University of Denmark

Publications: 13

Kun Xu

Kun Xu

Hong Kong University of Science and Technology

Publications: 13

Stefan Heinrich

Stefan Heinrich

Hamburg University of Technology

Publications: 12

Arvind Rajendran

Arvind Rajendran

University of Alberta

Publications: 10

Gavin Walker

Gavin Walker

University of Limerick

Publications: 10

Philippe Laurençot

Philippe Laurençot

Toulouse Mathematics Institute

Publications: 10

Endre Süli

Endre Süli

University of Oxford

Publications: 9

Eleuterio F. Toro

Eleuterio F. Toro

University of Trento

Publications: 9

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