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, multiscale problems and applications in medical image registration, inverse problems, mathematical physics, design, architecture, construction, fibre networks, composite materials and virtual/augmented reality (VR/AR). We also work on deep learning for solving partial differential equations.

We are active within the Chalmers Areas of Advance, in particular within Digital Twin Cities 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 |
| |
---|---|---|

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 | |

David Cohen | Numerical analysis of (stochastic) differential equations, especially geometric numerical integration | |

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 numerical integration, shape analysis, geometric hydrodynamics | |

Axel Målqvist | Partial differential equations, multiscale problems | |

Irina Pettersson | Asymptotic analysis and homogenization theory | |

Axel Ringh | Computational optimal transport | |

| | |

Adjunct and affiliated faculty |
| |

Adam Andersson | Deep learning | |

Mihály Kovács | Stochastic and fractional PDE | |

| | |

Emeriti |
| |

Mohammad Asadzadeh | Finite element methods, partial differential equations | |

Ivar Gustafsson | Iterative methods for linear systems, parallel computations | |

Göran Starius | Differential equations | |

Vidar Thomée | Numerical analysis of evolution problems | |

| | |

Postdocs and researchers |
| |

Fredrik Hellman | Multiscale problems | |

Vasilis Naserentin | Digital twin cities | |

Mike Pereira | Deep learning for traffic flow problems | |

| | |

PhD students |
| |

Kasper Bågmark | Machine learning | |

Morgan Görtz | Industrial PhD student at FCC. Multiscale methods for paper forming | |

Erik Jansson | Shape analysis and deep learning | |

Per Ljung | FEM for multiscale problems | |

Ioanna Motschan-Armen | Approximation of random fields | |

Malin Nilsson | Multiscale problems | |

Mikhail Roop | Geometric numerical hydrodynamics | |

Johan Ulander | Numerical methods for SPDE | |

## 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.