Welcome to the Institute of Numerical Mathematics (NuMa)

Numerical mathematics is a modern field of mathematics devoted to the design, analysis and implementation of algorithms for the solution of complex problems in science and engineering. We represent this area in research and teaching, providing the theoretical foundations that are used in many other areas of science.

We cover several topics in the field of numerical mathematics including

• numerical solution of partial differential equations, in particular by mixed finite elements and isogeometric analysis;
• structure preserving discretization of nonlinear dynamical systems and partial differential equations;
• efficient solvers for linear systems via multigrid preconditioning and domain decomposition methods;
• nonlinear optimization, like non-smooth problems and set-valued analysis.

The Institute of Numerical Mathematics is part of the Department of Mathematics at the Johannes Kepler University (JKU) Linz.

• Special Semester on Computational Methods for Electric Machines, 24 September – 28 November 2025 at RICAM.

 

• Alessio Cesarano successfully defended his PhD Thesis on 15 April 2025; many congratulations!
• MULTI-GRID PRIZE 2025 was awarded to Ulrich Langer for his great achievement and seminal contributions to Multi-Grid Methods by the IMG Committee at KAUST Thuwal, Saudi Arabia in February 2025; Many many congratulations to Prof. Langer!
• Oliver Habrich successfully defended his PhD Thesis on 19 April 2024; many congratulations!
• Vsevolod Shashkov successfully defended his PhD Thesis on 2 February 2024; many congratulations!
• On February 1st 2024, Markus Schwarz officially joined our group as student assistant in the SFB F90 "Electric Machine Simulation".
• Maria Heigl successfully defended her Master's Thesis on 30 October 2023; many congratulations!
• On Monday, August 28, 2023, Nora Philippi defended her PhD-thesis entitled "Asymptotic Analysis and Numerical Approximation of some Partial Differential Equations on Networks" with distinction. Congratulations Dr. Philippi!
• Andreas Schafelner joined our Institute starting with 1 February 2023.
• The project "Fast Methods for Adaptive Isogeometric Analysis" (P 33956-NBL) of Clemens Hofreither was transferred to Stefan Takacs by 1 January 2023.
• Felix Engertsberger joined our Institute as student assistant, Michael Winkler joined the group Computational Methods for PDEs at RICAM, both starting with 1 January 2023.
• The Collaborative Research Center Computational Electric Machine Laboratory (CREATOR) started on 1 March 2022.