Tom Lyche

Professor emeritus
Image of Tom Lyche
Norwegian version of this page
Phone +47-22856024
Mobile phone +47-28357266 +47-48357266
Room 1229
Username
Visiting address Niels Henrik Abels hus Moltke Moes vei 35 0851 Oslo
Postal address Matematisk institutt P.O. Box 1053 Blindern 0316 Oslo Norway

Academic Interests

  • Approximation Theory 
  • Numerical Analysis
  • Spline Theory
  • Isogeometric Analysis
  • Students supervised 1973-2013
  •  PhD 14
  • Cand Scient  29
  •  books
  1. Lyche, T. and J-L Merrien, Exercises in Computational Mathematics with MATLAB, Problem Books in Mathematics, https://doi.org/10.1007/978-3-662-43511-3 Springer Verlag, Heidelberg, 2014, 372 pages.

  2. Lyche, T., Numerical Linear Algebra and Matrix Factorizations, Texts in Computational Science and Engineering 22, https://doi.org/10.1007/978-3-030-36468-7, Springer Nature Switzerland AG, 2020, 371 pages.

  3. Lyche, T, Muntingh, G and Ø. Ryan, Exercises in Numerical Linear Algebra and Matrix Factorizations, Texts in Computational Science and Engineering 23, ISBN 978-3-030-59788-7, Springer Nature Switzerland AG, 2020, 365 pages.

 some papers

[81] Cohen, E., T. Lyche and R. F. Riesenfeld, MCAD: Key Historical Developments, Comp. Methods Appl. Mech. Engrg, 199(2010), 224–228..

[82] Cohen, E., Martin, T., Kirby, R.M., Lyche, T and R.F. Riesenfeld, Analysis-aware modeling: Understand- ing quality considererations in modeling for isogeometric analysis, Comp. Methods Appl. Mech. Engrg, 199(2010), 334–356.

[83] Lyche, T. and M-L Mazure, Piecewise Chebyshevian multiresolution analysis, East J. Approx. 17(2011), 410–426.

[84] Cohen, E., T. Lyche and R. F. Riesenfeld, A B-spline-like basis for the Powell-Sabin 12-split based on simplex splines, Math. Comp. , 82(2013), 1667–1707.

[85] Dokken, T., T. Lyche and K. F. Pettersen, Polynomial splines over locally refined box-partitions, Computer- Aided Geom. Design , 30(2013), 331–356.

[86] Lyche, T. and G. Muntingh, A Hermite interpolatory subdivision scheme for C2-quintics on the Powell–Sabin 12-split, Computer-Aided Geom. Design , 31(2014), 464–474.

[87] Bracco, C., T. Lyche, C. Manni, F. Roman and H. Speleers, Generalized spline spaces over T-meshes: Dimension formula and locally refined generalized B-splines, Applied Mathematics and Computation, 272(2016), 187–198.

[88] Bracco, C., Lyche, T., Manni, C., Roman, F. and Speleers, H., On the dimension of Tchebycheffian spline spaces over planar T-meshes, Computer-Aided Geom. Design 45(2016), 151–173.

[89] Lyche, T. and G. Muntingh, Stable Simplex Spline Bases for C3 Quintics on the Powell–Sabin 12-Split, Constr. Approx. 45(2017), 1–32.

[90] Lyche, T. and Merrien, J-L, Simplex-splines on the Clough–Tocher element, Computer-Aided Geom. Design 65(2018), 76–92.

[91] Lyche, T., Manni, C. and Speleers, H., Foundations of Spline Theory: B-Splines, Spline Approximation and Hierarchical Refinement, in Splines and PDEs: From Approximation Theory to Numerical Linear Algebra, Cetraro, Italy 2017, LNMCIME volume 2219, Lyche, T., C. Manni and H. Speleers (Eds.), 2018 Springer Nature Switzerland AG, 2018, 1–76.

[92] Bracco, C., Lyche, T., Manni, C. and Speleers, H., Tchebycheffian spline spaces over planar T-meshes: Dimension bounds and dimension instabilities, J. Comp. and Applied Math. , 349(2019), 265-278.

[93] Lyche, T., Manni, C. and Speleers, H., Tchebycheffian B-Splines Revisited: An Introductory Exposition, in Advanced Methods for Geometric Modeling and Numerical Simulation, Carlotta Gianelli and Hendrik Speleers (eds.), Springer INdAM Series, (2019), 179–216.

[94] Lyche, T. and G. Muntingh, B-spline-like bases for C2 cubics on the Powell–Sabin 12-split, SMAI Journal of Computational Mathematics, S5(2019), 129–159.

[95] Bressan, A., Lyche, T. Local Approximation from Spline Spaces on Box Meshes, Found. Comput. Math. 21(2021), 807–848. Published 07 July, 2020. https://doi.org/10.1007/s10208-020-09467-8

[96] Lyche, T., Merrien, J-L, and Sauer, T., Simplex-Splines on the Clough-Tocher Split with Arbitrary Smoothness, Geometric Challenges in Isogeometric Analysis, Springer INdAM Series, C. Manni and H. Speleers (Eds.), to appear,.

[97] Lyche, T., Manni, C. and Speleers, H., Construction of C2 cubic splines on arbitrary triangulations, Found. Comput. Math. to appear.

Education

1975  Ph.D., Mathematics, Dep. of Mathematics, Univ. of Texas, Austin, USA.

1969 Cand. real (M.Sc.) Mathematics, Dept. of Mathematics, Univ. of Oslo.

1967 Cand. mag., (B.Sc)  Univ. of Oslo.

Employment history

 2014-current       Professor emeritus, Dep. of Mathematics, Univ. of Oslo 

2013                    Professor, Dep. of Mathematics, Univ. of Oslo

1984 – 2013        Professor, Dep. of Informatics, Univ. of Oslo 

1977 –1984         Associate Professor (Dosent) Dep. of Informatics, Univ. of Oslo

1976                    Associate Professor (Dosent) Dep of Mathematics, Univ. of Oslo

1972-1976           Assistant Professor (Universitetslektor), Mathematics, Univ. of Oslo

2003-2013       Principal investigator, CMA, Centre of Mathematics for Applications

1993 -current        Consultant, SINTEF Oslo.

International cooperation

Visiting positions of 5-12 Month Duration

Sept 2007-July 2008           Visiting Professor, University of Utah, USA

Jan. 1998 – June 1998        Visiting Professor, Paul Sabatier University and I.N.S.A.Toulouse, France

Aug. 1993 – June 1994       Visiting Professor, Rice University, USA

Mars – Aug. 1987          Visiting Professor, Univ of Utah, USA

Jan-Dec. 1983                Visiting Associate Professor, Texas A&M Univ, USA

Aug – Dec. 1973,                Visiting Assistant Professor, Math. Res. Center,Univ. of Wisconsin, USA

some shorter visits

Sept 2018                    Lecturer  RMschool2018, Universita di Roma “Tor Vergata”

Oct-Jan, 2015/16         Visiting professor, Universita di Roma “Tor Vergata”

2005-2018                   Regular visits Universita di Roma “Tor Vergata”

2003-2019                   Regular visits to Univ. of Rennes, France

1984-2019                   Regular visits to Univ. of Utah, USA

April 2005                   Univ. di Siena, Italy

April-May 2000           Univ. of Grenoble, France

June-Aug. 1983          Univ. of Utah, USA

June-Aug 1974           Math. Res. Center, Univ. of Wisconsin, USA            

Editorial boards international journals

● 1987-2009   Journal of Computational and Applied Mathematics

● 1992-2019    Computer Aided Geometric Design

● 1993-2019     Advances in Computational Mathematics

●1993-              BIT

● 1996-2007     Computer Graphics Forum

Honoraria and Appointments

1977-1978: The first chairman of Department of Informatics, Univ. of Oslo

      2000:    Elected member of the Norwegian Academy of Science and Letters

  • 2003: The Dagstuhl foundation’s John Gregory Memorial Award for "Outstanding contributions to geometric modeling"
  • 2004-current: Member of the board of the Nordic Foundation for the Journal BIT, appointed by the Norwegian Academy of Science and Letters 
  • 2005-2013: Leader of the Mathematics group, the Norwegian Academy of Science and Letters
  • 2010: Member of the Selection Committee for SIAM’s Polya Prize

Conference organization

I am, and have been, one of the main organizers of 8 of the 9 international conferences  “Mathematical Methods for Curves and Surfaces” in Noway in the  period1988-2016 (100-180 participants from   20-30 countries. Also I am and have been one   of the main organizers on  4 corresponding conferences "Curves and Surfaces” in France  (>300 participants) and one conference  in  USA (150 participants). In addition I have organized several smaller conferences and workshops with 40-60 participants in Norway and abroad and have been member of  "scientific committees" on many international conferences

Published Jan. 28, 2013 1:38 PM - Last modified Oct. 5, 2021 3:04 PM

Projects

No ongoing projects

Research groups