World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
38
Citations
7431
World Ranking
2310
National Ranking
13

Tom Lyche 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 Tom Lyche 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: 149 publications — 38th percentile

38% of scientists in this discipline score the same or lower.

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

Tom Lyche 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 Tom Lyche 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: 38 D-Index — 37th percentile

37% of scientists in this discipline score the same or lower.

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

Overview

Tom Lyche is affiliated with the University of Oslo in Norway, where their research spans the intersection of computer science, engineering, and mathematics. Their work focuses heavily on computational theory, numerical analysis, and applied mathematics, bridging these disciplines through advanced numerical methods and matrix theory.

Their main fields of study include:

  • Computer Science
  • Engineering
  • Mathematics

Within these broad areas, Lyche has contributed to specific subfields such as:

  • Computational Theory and Mathematics
  • Computational Mechanics
  • Numerical Analysis
  • Computer Vision and Pattern Recognition
  • Electrical and Electronic Engineering

The research topics that Lyche frequently addresses include:

  • Matrix Theory and Algorithms
  • Advanced Numerical Analysis Techniques
  • Iterative Methods for Nonlinear Equations
  • Graph Theory and CDMA Systems
  • Advanced Optimization Algorithms Research
  • Polynomial and Algebraic Computation
  • Spectral Theory in Mathematical Physics

Lyche has been published extensively in respected scientific venues. Their frequent publication venues are:

  • Foundations of Computational Mathematics
  • Texts in Computational Science and Engineering
  • arXiv (Cornell University)
  • Applied Mathematics and Computation
  • Computer Methods in Applied Mechanics and Engineering

Some of their recent publications reflect ongoing research in spline theory, numerical methods, and linear algebra:

  • Construction of C2 Cubic Splines on Arbitrary Triangulations, 2022, Foundations of Computational Mathematics
  • A Local Simplex Spline Basis for C3 Quartic Splines on Arbitrary Triangulations, 2023, Applied Mathematics and Computation
  • A Short Review of Linear Algebra, 2020, Texts in Computational Science and Engineering

Other notable works connected to closely associated researchers include:

  • Local Approximation from Spline Spaces on Box Meshes, 2020, Foundations of Computational Mathematics
  • Quadrature Rules for C1 Quadratic Spline Finite Elements on the Powell-Sabin 12-Split, 2024, Computer Methods in Applied Mechanics and Engineering

Co-authorship is a significant aspect of their collaborative work, with frequent collaborators being:

  • Georg Muntingh
  • Øyvind Ryan
  • Hendrik Speleers
  • Carla Manni
  • Jean-Louis Merrien

In addition to articles, Tom Lyche has contributed to book publications under Springer Nature, including:

  • Numerical Linear Algebra and Matrix Factorizations, 2020
  • Exercises in Numerical Linear Algebra and Matrix Factorizations, 2020

Best Publications

  • Discrete B-splines and subdivision techniques in computer-aided geometric design and computer graphics

    Elaine Cohen;Tom Lyche;Richard Riesenfeld

  • T-spline simplification and local refinement

    Thomas W. Sederberg;David L. Cardon;G. Thomas Finnigan;Nicholas S. North

  • Mathematical Methods for Curves and Surfaces

    Michael Floater;Tom Lyche;Marie-Laurence Mazure;Knut Mørken

  • Polynomial splines over locally refined box-partitions

    Tor Dokken;Tom Lyche;Kjell Fredrik Pettersen

  • Local Spline Approximation Methods

    Tom Lyche;Larry L Schumaker;Larry L Schumaker

  • Chebyshevian multistep methods for ordinary differential equations

    Unknown

  • Analysis-aware modeling: Understanding quality considerations in modeling for isogeometric analysis

    E. Cohen;T. Martin;R. M. Kirby;T. Lyche

  • Mathematical Methods in Computer Aided Geometric Design

    Tom Lyche;Larry L. Schumaker

  • Knot removal for parametric B-spline curves and surfaces

    Tom Lyche;Knut Morken

  • A stable recurrence relation for trigonometric B-splines

    T. Lyche;R. Winther

  • A Data-Reduction Strategy for Splines with Applications to the Approximation of Functions and Data

    T. Lyche;K. Mørken

  • Good approximation of circles by curvature-continuous Be´zier curves

    T. Dokken;Morten Dæhlen;T. Lyche;K. Mørken

  • Algorithms for degree-raising of splines

    Elaine Cohen;Tom Lyche;Larry L. Schumaker

  • On a class of weak Tchebycheff systems

    Paolo Costantini;Tom Lyche;Carla Manni

  • A Recurrence Relation for Chebyshevian B-Splines

    Tom Lyche

  • Computation of Smoothing and Interpolating Natural Splines via Local Bases

    Tom Lyche;Larry L. Schumaker

  • Control curves and knot insertion for trigonometric splines

    Per Erik Koch;Tom Lyche;Marian Neamtu;Larry L. Schumaker

  • Knot insertion and deletion algorithms for B-spline curves and surfaces

    Ronald N. Goldman;Tom Lyche

  • A Multiresolution Tensor Spline Method for Fitting Functions on the Sphere

    Tom Lyche;Larry L. Schumaker

  • Making the Oslo algorithm more efficient

    T Lyche;K Morken

  • Mathematical methods in computer aided geometric design II

    Tom Lyche;Larry L. Schumaker

  • Mathematical Methods in Computer Aided Geometric Design.

    Tom Lyche;Larry L. Schumaker

Frequent Co-Authors

Larry L. Schumaker
Larry L. Schumaker Vanderbilt University
Elaine Cohen
Elaine Cohen University of Utah
Carla Manni
Carla Manni University of Rome Tor Vergata
Michael S. Floater
Michael S. Floater University of Oslo
Jean-Daniel Boissonnat
Jean-Daniel Boissonnat Université Côte d'Azur
Albert Cohen
Albert Cohen Google (United States)
Ron Goldman
Ron Goldman Rice University
Thomas W. Sederberg
Thomas W. Sederberg Brigham Young University
Hans-Peter Seidel
Hans-Peter Seidel Max Planck Institute for Informatics
Jianmin Zheng
Jianmin Zheng Nanyang Technological University

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