- Approximation Theory
- Numerical Analysis
- Spline Theory
- Isogeometric Analysis
- Students supervised 1973-2013
- PhD 14
- Cand Scient 29
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.
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.
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.
 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.
 Dokken, T., T. Lyche and K. F. Pettersen, Polynomial splines over locally refined box-partitions, Computer- Aided Geom. Design , 30(2013), 331–356.
 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.
 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.
 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.
 Lyche, T. and G. Muntingh, Stable Simplex Spline Bases for C3 Quintics on the Powell–Sabin 12-Split, Constr. Approx. 45(2017), 1–32.
 Lyche, T. and Merrien, J-L, Simplex-splines on the Clough–Tocher element, Computer-Aided Geom. Design 65(2018), 76–92.
 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.
 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.
 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.
 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.
 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
 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,.
 Lyche, T., Manni, C. and Speleers, H., Construction of $C^2$ cubic splines on arbitrary triangulations, Found. Comput. Math., Published Open Access online 17 February 2022, https://doi.org/10.1007/s10208-022-09553-z.
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.
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.
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”
2003-2022 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
● 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
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