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Universitetet i Bergen
Matematisk institutt

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Applied and Computational Mathematics

In our group of applied and computational mathematics (anvendt og beregningsorientert matematikk, ABM), important research areas are: fluid mechanics and ocean modeling, industrial mathematics and reservoir simulations, image processing, geometric integration and scientific computing.

Hovedinnhold

The need for using mathematics and computations to solve fundamental problems in science, technology, medicine, industry, is strongly increasing. By a combination of experiments, observations, theory development, modeling and numerical simulations, it is possible to gain deeper insight into complicated processes. Numerical computations have been important for many years in fields of mathematics, physics and geology; however, also  subjects like biology, chemistry, geology and medicine are becoming increasingly dependent on mathematical modelling and simulations.

Numerical simulation of the Aurora Borealis (northern lights)

Geometric Integration

Numerical integration of differential equations is a research area within Numerical Analysis, with the goal of devising good numerical methods to compute the time evolution of systems of differential equations. This is an important issue in all simulations of dynamical systems and physical processes.

Applied Analysis

The activities of this group are focused on mathematical and numerical analysis of ordinary and partial differential equations. Main research topics are wave-type equations such as KdV and nonlinear Schrödinger, analysis of Hele-Shaw flows, and analysis of spectral methods. Another important topic...

Energy surface for 2 parameter quantum gates

Computational Quantum Physics

Electrons are so small and their movement so fast that we cannot follow their movement with instruments. On this scale (nanometres), strange things happen that can no longer be described by Newton's laws. This is the reality of Quantum Mechanics....

Images and Signals

Digital images are "mosaics" where the pieces (called pixels) are so small that they cannot be seen individually by the naked eye. These mosaic tiles are represented in the computer as numbers, which, with the help of mathematical methods, can tell us much more than the eye can. This field is called...

plasma

Mechanics, dynamical systems and modelling

In this specialisation within applied and computational mathematics, the main emphasis is placed on the modelling in time and space of large numbers of "particles" that interact with each other and with the environment.

Nonlinear Waves

Research in nonlinear waves includes the study of surface water waves, internal waves in fluids, and CO2 storage.
01.10.2014