We teach and perform research on the design, analysis, implementation and application of numerical methods for the solution of ordinary and partial differential equations. In particular, we study adaptive finite element methods, stochastic partial differential equations, transport equations, geometric integration and applications in medical image registration, inverse problems, mathematical physics, design, architecture, construction and virtual/augmented reality (VR/AR).
We are active within the Chalmers Areas of Advance, in particular within the Building Futures and Information and Communication Technologies.
Seminar
We organize the weekly Computational and Applied Mathematics Seminar (CAM seminar). The seminar meets on Wednesdays at 14.15-15.00 in room MVL14.
Researchers and teachers
| Faculty |
|
|---|
| Mohammad Asadzadeh |
Finite element methods, partial differential equations |
| Joakim Becker |
Finite element methods for partial differential equations |
| Larisa Beilina |
Inverse problems, adaptive finite element methods, high-performance scientific computing, real-life applications |
| Katarina Blom |
Linear algebra |
| Jacques Huitfeldt |
Nonlinear eigenvalue problems |
| Mihály Kovács |
Fractional diffusion equations, stochastic PDE |
| Annika Lang |
Stochastic partial differential equations, random fields, stochastic simulation |
| Stig Larsson |
Finite element methods, deterministic and stochastic PDE |
| Anders Logg |
Finite element methods, adaptivity, high-performance computing, applications |
| Klas Modin |
Geometric integration |
| Axel Målqvist |
Partial differential equations, multiscale problems |
| |
|
| Emeriti |
|
| Ivar Gustafsson |
Iterative methods for linear systems, parallel computations |
| Göran Starius |
Differential equations |
| Vidar Thomée |
Numerical analysis of evolution problems |
| |
|
| Postdocs |
|
| Siyang Wang |
Numerical methods for partial differential equations on fractured domains |
| |
|
| PhD students |
|
| Robert Forslund |
Industrial PhD student at Arcam AB. Additive manufacturing |
| Gustav Kettil |
Industrial PhD student at FCC. Microstructure simulation of paper forming |
| Per Ljung |
FEM for multiscale problems |
| Carl Lundholm |
Analysis and applications of finite element methods on overlapping meshes |
| Andreas Petersson |
Numerical approximation and simulation of stochastic partial differential equations |
| Milo Viviani |
Geometric integration |
Projects
FEniCS
FEniCS is a world-leading computing platform for the solution of partial differential equations in Python and C++. FEniCS was founded in collaboration between Chalmers and the University of Chicago in 2003 and has since reached widespread use and recognition worldwide.
VirtualCity@Chalmers
Together with the City of Gothenburg and Fraunhofer-Chalmers Centre Research Centre for Industrial Mathematics, the Chalmers Area of Advance Building Futures has decided to take on the challenge of building a virtual city platform. The project Virtual City@Chalmers aims to compile expertise in modelling, simulation, urban planning, computer science and other research fields to build a dynamic and interactive virtual city platform.