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Applied Mathematics (TIMA)

Applied mathematics is used to study advanced methods for modeling in technology as well as natural and social sciences. The Division of Applied Mathematics (TIMA) conducts research in computational mathematics, mathematical statistics and optimization.

Subject areas at the Division of Applied Mathematics (TIMA)

Computational Mathematics

Computational mathematics develops and analyses numerical methods and algorithms for the solution of problems in science and engineering.

Important topics are well-posedness of the governing partial differential equations and convergence of the numerical approximation. Accuracy, stability, efficiency, software aspects and computer implementation are important.

Contact

Photo of Andrew Winters

Andrew Winters

Senior Associate Professor

Mathematical Statistics

Mathematical statistics is the science of randomness and probabilities.

The research within the subject is divided into probability theory and statistical inference, where statistical inference (how to draw conclusions from random data) is based on probability theory.




Contact

Photo of Martin Singull

Martin Singull

Professor, Head of Division

Optimization

Optimization aims at finding the best solutions to difficult problems.

All large-scale and complex operations must be planned, especially where cost is a factor. In many cases, the problems are too difficult to solve for a human being. A common property for many of these problems is that they give large, difficult combinatorial models that require research to be resolved.

Contact

Photo of Torbjörn Larsson

Torbjörn Larsson

Professor

Research areas at the Division of Applied Mathematics (TIMA)

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Modern Multivariate Statistical Analysis

Nowadays there is a great need to analyse complex high-dimensional data. Modern theories must be developed through the knowledge of the classical methods of multivariate statistics.
Unstructured mesh around high lift configuration.

Numerical Solutions of Time-Dependent Partial Differential Equations

Well-posedness of the governing partial differential equations lead to effective and accurate numerical methods for the analysis of physical processes in science and engineering.
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Mathematics and algorithms for intelligent decision-making

On the journey towards sustainability, our contribution is to develop mathematical models and solution methods for practically relevant but computationally challenging problems in scheduling and resource allocation.
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Decision support for railway crew planning

For our society to fully reap the benefits of sustainable train travel, careful resource planning is essential. Passengers need to be able to rely on that trains are on time and train operators need to make efficient use of their vehicles and crew.
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Optimization of Snow Removal in Cities

Snow removal in a city is a major undertaking that requires route planning and efficient driving schedules. It is a difficult and complex optimization problem and research is needed to be able to get good solutions.
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Research collaboration in Mathematics with low income countries and regions

The Department of Mathematics contributes to the development of capacity for higher education and research in low income countries and regions through collaborative projects in Africa and Asia.

Doctoral studies in Mathematics

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Doctoral studies in Mathematical Sciences

Within mathematical sciences we study questions of a mathematical character, either from a purely theoretical perspective or directed towards practical applications. In either case, the mathematical problem and its properties is the main focus.
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Research School in Interdisciplinary Mathematics

The Department of Mathematics offers a doctoral programme for students with a strong mathematical interest who are interested to apply mathematics on practical problems in different fields such as engineering, business, computer science and industry.
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PhD courses

Linköping University offers third-cycle courses for PhD students. On Forskarstudieinfo, you will find LiU’s current courses and syllabuses at doctoral level.

Forskarstudieinfo

Contacts at the Division of Applied Mathematics (TIMA)

Head of Division, Director of Studies

Photo of Martin Singull

Martin Singull

Professor, Head of Division

Administrative support to the Director of studies

Photo of Emilia Olofsson

Emilia Olofsson

Administrator

Photo of Monika Gustafsson

Monika Gustafsson

Coordinator

Staff

Photo of Zahra Abbasalinejadkolaei
Zahra Abbasalinejadkolaei
PhD student
Photo of Aban Ansari-Önnestam
Aban Ansari-Önnestam
PhD student
Photo of Fredrik Berntsson
Fredrik Berntsson
Associate Professor, Docent
Photo of Åke Björck
Åke Björck
Photo of Cigdem Cengiz
Cigdem Cengiz
Research Engineer
Photo of Carl Ekblad
Carl Ekblad
PhD student
Photo of Lars Eldén
Lars Eldén
Photo of Tommy Elfving
Tommy Elfving
Photo of Torkel Erhardsson
Torkel Erhardsson
Associate Professor, Docent
Photo of Patrick Ersing
Patrick Ersing
PhD student
Photo of Lukas Eveborn
Lukas Eveborn
PhD student
Photo of Jan Glaubitz
Jan Glaubitz
Assistant Professor
Photo of Roghayeh Hajizadeh
Roghayeh Hajizadeh
Lecturer
Photo of Chuan He
Chuan He
Assistant Professor
Photo of Kaj Holmberg
Kaj Holmberg
Photo of Torbjörn Larsson
Torbjörn Larsson
Professor
Photo of Zhenxia Liu
Zhenxia Liu
Associate Professor
Photo of Jörg-Uwe Löbus
Jörg-Uwe Löbus
Associate Professor, Docent
Photo of Mainza Mbokoma
Mainza Mbokoma
Photo of Björn Morén
Björn Morén
Assistant Professor
Photo of Jan Nordström
Jan Nordström
Professor Emeritus
Photo of Nils-Hassan Quttineh
Nils-Hassan Quttineh
Senior Associate Professor
Photo of Sachin Rajendran
Sachin Rajendran
PhD student
Photo of Jan Rolfes
Jan Rolfes
Associate Professor
Photo of Dietrich von Rosen
Dietrich von Rosen
Photo of Elina Rönnberg
Elina Rönnberg
Deputy Head of Department, Senior Associate Professor
Photo of Martin Singull
Martin Singull
Professor, Head of Division
Photo of Jesper Vines
Jesper Vines
Photo of Andrew Winters
Andrew Winters
Senior Associate Professor
Photo of Biressaw Chali Wolde
Biressaw Chali Wolde
Photo of Xiangfeng Yang
Xiangfeng Yang
Associate Professor, Docent

Address

Visiting address

Department of Mathematics, B Building, entrance 21-25, Campus Valla

Postal address

Linköping University
Department of Mathematics
581 83 Linköping
Sweden

Seminars

Seminars in Computational Mathematics

The seminars in Computational Mathematics are organised by the Department of Mathematics.

Seminars in Interdisciplinary Mathematics

The aim of the seminars is to obtain knowledge about interesting mathematical application problems. We invite people from different companies and university institutions to discuss problems and technical challenges they have in their operations.

Seminars in Mathematical Statistics

The seminars are organised by the Department of Mathematics and form part of the seminar series "Seminars in Statistics and Mathematical Statistics". The topic is probability theory, random processes, statistical theory, and applied statistics.

Conference

International Workshop on Matrices and statistics 2023

The 29th International Workshop on Matrices and Statistics, IWMS-2023, was held August 21-23 2023 at Linköping University, Sweden.

New Publications

2025

Hendrik Ranocha, Andrew Ross Winters, Michael Schlottke-Lakemper, Philipp Oeffner, Jan Glaubitz, Gregor J. Gassner (2025) On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws Journal of Computational Physics, Vol. 520, Article 113471 (Article in journal) Continue to DOI
Hendrik Ranocha, Andrew Ross Winters, Michael Schlottke-Lakemper, Philipp Öffner, Jan Glaubitz, Gregor J Gassner (2025) On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws Journal of Computational Physics, Vol. 520, Article 113471 (Article in journal) Continue to DOI
David A. Kopriva, Andrew Ross Winters, Jan Nordström (2025) Energy Bounds for Discontinuous Galerkin Spectral Element Approximations of Well-Posed Overset Grid Problems for Hyperbolic Systems Journal of Computational Physics, Vol. 520, Article 113508 (Article in journal) Continue to DOI
Pauline Achieng, Fredrik Berntsson, Vladimir Kozlov (2025) Reconstructing of the radiation condition and solution for a variable coefficient Helmholtz equation in a semi-infinite strip from Cauchy data on an interior segment Journal of Mathematical Analysis and Applications, Vol. 541, Article 128684 (Article in journal) Continue to DOI

2024

Denise Uwamariya, Xiangfeng Yang (2024) On the Ratio of Extremal Eigenvalues of ß-Laguerre Ensembles THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS (Article in journal) Continue to DOI
Oskar Ålund, Yukinao Akamatsu, Fredrik Laurén, Takahiro Miura, Jan Nordström, Alexander Rothkopf (2024) Correction: Corrigendum to "Trace preserving quantum dynamics using a novel reparametrization-neutral summation-by-parts difference operator" [J.Comput.Phys. 425 (2021) 109917] Journal of Computational Physics, Vol. 519, Article 113517 (Article in journal) Continue to DOI
Chuan He, Heng Huang, Zhaosong Lu (2024) A Newton-CG based barrier-augmented Lagrangian method for general nonconvex conic optimization Computational optimization and applications (Article in journal) Continue to DOI
Uledi Ngulo, Torbjörn Larsson, Nils-Hassan Quttineh (2024) A meta-heuristic extension of the Lagrangian heuristic framework Optimization Methods and Software (Article in journal) Continue to DOI
Jenny Enerbäck, Lukas Eveborn, Elina Rönnberg (2024) Pricing for the EVRPTW with Piecewise Linear Charging by a Bounding-Based Labeling Algorithm 24th Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2024), p. 3:1-3:18 (Conference paper) Continue to DOI
Alexander Rothkopf, Will Horowitz, Jan Nordström (2024) Exact space-time symmetry conservation and automatic mesh refinement for classical lattice field theory

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Department of Mathematics (MAI)

The department conducts research in computational mathematics, mathematics and applied mathematics, mathematical statistics, and optimization. We provide courses to students in most degree programmes in mathematics, science and engineering.
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