World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
38
Citations
7431
World Ranking
2309
National Ranking
13

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
Albert Cohen
Albert Cohen Google (United States)
Jean-Daniel Boissonnat
Jean-Daniel Boissonnat Université Côte d'Azur
Ron Goldman
Ron Goldman Rice University
Hans-Peter Seidel
Hans-Peter Seidel Max Planck Institute for Informatics
Thomas W. Sederberg
Thomas W. Sederberg Brigham Young University
Kamy Sepehrnoori
Kamy Sepehrnoori The University of Texas at Austin

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