Analysis and Mathematics Education (ANDI)

The Division of Analysis and Mathematics Education conducts both interdisciplinary and applied research in various branches of analysis and didactics of mathematics.

For applied mathematics, the goals are to introduce mathematical methods and theories to already existing areas in science and technology, as well as to develop tools for solving new problems.

Mathematics, and mathematical analysis, has a natural and important place in many of Linköping University's educational programs, especially the master programs in engineering, and the division's teaching consists of basic, as well as advanced, courses in mathematics for these students.

Didactics of mathematics studies different aspects and conditions for teaching and learning mathematics and is an important element in teacher education. It is therefore natural to have activities in didactics of mathematics at the Department of Mathematics to ensure that both the didactic and mathematical content are of high quality in this area.

Research

Group picture of Nageswari Shanmugalingam, Anders Björn, Jana Björn and Tomas Sjödin.

Nonlinear Potential Theory

The research group is mainly interested in analysis on metric spaces, and in particular nonlinear potential theory associated with p-harmonic functions and quasiminimizers in Euclidean and metric spaces.

ICTMA22 - The 22nd international conference on teaching on mathematical modelling and application

All researchers, teachers and mathematicians interested in the teaching and learning of mathematical modelling, are welcome to ICTMA22. The conference is taking place at Linköping University from Sunday 10 August to Friday 15 August 2025.

Reflection in the water.

Differential Equations and Analysis on Metric Spaces

Differential equations describe many real-world phenomena but can rarely be solved exactly. We therefore study properties of their solutions in other ways, in very general situations, similarly to creating an identikit of an unknown criminal.

Doctoral studies in Mathematics

Contacts at the Division of Analysis and Mathematics Education (ANDI)

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

New Publications

2025

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

Vladimir Tkachev (2024) Inner isotopes associated with automorphisms of commutative associative algebras Communications in Mathematics, Vol. 32, p. 153-184 (Article in journal) Continue to DOI
Anders Björn, Jana Björn, Andreas Christensen (2024) Poincaré inequalities and Ap weights on bow-ties Journal of Mathematical Analysis and Applications, Vol. 539, Article 128483 (Article in journal) Continue to DOI
Jennifer Chepkorir (2024) Regularization methods for solving Cauchy problems for elliptic and degenerate elliptic equations
Peter Frejd, Pauline Vos (2024) The spirit of mathematical modeling-a philosophical study on the occasion of 50 years of mathematical modeling education The Mathematics Enthusiast, Vol. 21, p. 269-300 (Article in journal) Continue to DOI
Jonas Bergman Ärlebäck, Lluís Albarracín (2024) Fermi problems as a hub for task design in mathematics and stem education Teaching Mathematics and its Applications, Vol. 43, p. 25-37 (Article in journal) Continue to DOI
Vladimir Kozlov (2024) On the first subharmonic bifurcations in a branch of Stokes water waves Journal of Differential Equations, Vol. 379, p. 676-720 (Article in journal) Continue to DOI

2023

Jonas Bergman Ärlebäck, Susana Carreira, Britta Eyrich Jessen, Gilbert Greefrath, Yana Lacek, Katrin Vorhölter (2023) Introduction to the papers of TW6: Application and modelling Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), p. 1095-1102 (Conference paper)
Jonas Bergman Ärlebäck (2023) Fermi problems and Fermi Problem Activity Templates as tools for identifying the knowns and unknowns in integrated STEM approaches - a proposal. Proceedings of the 47th Annual Meeting of Japan Society for Science Education, p. 157-158 (Conference paper)
Jonas Bergman Ärlebäck, Lluís Albarracín (2023) Characterising pre-service primary teachers' posed Fermi problems