World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
46
Citations
12734
World Ranking
1326
National Ranking
598

Roland W. Freund 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 Roland W. Freund 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: 101 publications — 11th percentile

11% of scientists in this discipline score the same or lower.

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

Roland W. Freund 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 Roland W. Freund 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: 46 D-Index — 64th percentile

64% of scientists in this discipline score the same or lower.

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

Overview

Roland W. Freund is affiliated with the University of California, Davis, located in the United States. Their research spans multiple scientific disciplines with contributions documented across computer science, physics and astronomy, as well as engineering.

Their primary fields of study include:

  • Computer Science
  • Physics and Astronomy
  • Engineering

Within these broad fields, their work extends into specialized subfields such as:

  • Computational Theory and Mathematics
  • Atomic and Molecular Physics, and Optics
  • Electrical and Electronic Engineering

The main topics covered in their research involve:

  • Matrix Theory and Algorithms
  • Electromagnetic Scattering and Analysis
  • Low-power high-performance VLSI design

This indicates an interdisciplinary approach, bridging theoretical and applied aspects of science and engineering. The focus on matrix theory and algorithms suggests engagement with mathematical foundations critical in computational methods.

Simultaneously, work in electromagnetic scattering and analysis aligns with research in physics and electrical engineering, particularly in areas related to the interaction of electromagnetic waves with materials.

The interest in low-power high-performance VLSI design reflects contributions to advancing electronic circuit design with considerations of efficiency and performance, relevant to modern hardware engineering.

Best Publications

  • Efficient linear circuit analysis by Pade approximation via the Lanczos process

    P. Feldmann;R.W. Freund

  • QMR: a quasi-minimal residual method for non-Hermitian linear systems

    Roland W. Freund;Noël M. Nachtigal

  • A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems

    Roland W. Freund

  • Iterative solution of linear systems

    Roland W. Freund;Gene H. Golub;Noel M. Nachtigal

  • Krylov-subspace methods for reduced-order modeling in circuit simulation

    Roland W. Freund

  • Conjugate gradient-type methods for linear systems with complex symmetric coefficient matrices

    Roland W. Freund

  • An implementation of the look-ahead Lanczos algorithm for non-Hermitian matrices

    Roland W. Freund;Martin H. Gutknecht;Noël M. Nachtigal

  • Model reduction methods based on Krylov subspaces

    Roland W. Freund

  • An implementation of the QMR method based on coupled two-term recurrences

    Roland W. Freund;Noël M. Nachtigal

  • Reduced-Order Modeling of Large Linear Subcircuits via a Block Lanczos Algorithm

    P. Feldmann;R. W. Freund

  • SPRIM: structure-preserving reduced-order interconnect macromodeling

    R. W. Freund

  • Solving the Sum-of-Ratios Problem by an Interior-Point Method

    Roland W. Freund;Florian Jarre

  • A block QMR algorithm for non-Hermitian linear systems with multiple right-hand sides

    Roland W. Freund;Manish Malhotra

  • Reduced-Order Modeling Techniques Based on Krylov Subspaces and Their Use in Circuit Simulation

    Roland W. Freund

  • A new Krylov-subspace method for symmetric indefinite linear systems

    R.W. Freund;N.M. Nachtigal

  • Software for simplified Lanczos and QMR algorithms

    Roland W. Freund;Noël M. Nachtigal

  • Reduced-order modeling of large passive linear circuits by means of the SYPVL algorithm

    R. W. Freund;P. Feldmann

  • A Lanczos-type method for multiple starting vectors

    J. I. Aliaga;D. L. Boley;R. W. Freund;V. Hernández

  • On conjugate gradient type methods and polynomial preconditioners for a class of complex non-hermitian matrices

    Roland Freund

  • An extension of the positive real lemma to descriptor systems

    Roland W. Freund;Florian Jarre

Frequent Co-Authors

Zhaojun Bai
Zhaojun Bai University of California, Davis
Gene H. Golub
Gene H. Golub Stanford University
Tin Kam Ho
Tin Kam Ho IBM (United States)
Danny C. Sorensen
Danny C. Sorensen Rice University
Peter Benner
Peter Benner Max Planck Institute for Dynamics of Complex Technical Systems
Yousef Saad
Yousef Saad University of Minnesota
Peter Deuflhard
Peter Deuflhard Zuse Institute Berlin
Richard B. Lehoucq
Richard B. Lehoucq Sandia National Laboratories
Michele Benzi
Michele Benzi Scuola Normale Superiore di Pisa
Howard C. Elman
Howard C. Elman University of Maryland, College Park

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