Forskning vid Uppsala universitet

Forskningsprojekt från 2018-01-01 till 2021-12-31

The present project focuses on high-fidelity mathematical and numerical models, in collaboration with Stanford University, to simulate infrasound from a wide range of volcanic activity. The first task ...

Forskningsprojekt från 2013-01-01 till 2016-12-31

We propose the development of a new class of accelerated recursive expansion methods for electronic structure calculations. Our aim is to substantially reduce the computational effort required by modern ...

Forskningsprojekt från 2012-01-01 till 2014-12-31

Computer simulation is a tool for better understanding of the reactions between molecules and their diffusion in living cells. There are now experimental data for single molecules to compare with and for ...

Forskningsprojekt från 2013-01-01 till 2015-12-31

The overall aim of the proposed project is to improve the predictive capability for large-eddy simulation (LES) with near wall modelling for flows with a significant influence of turbulent boundary layers ...

Forskningsprojekt från 2012-01-01 till 2015-12-31

The proposed research is a multifaceted investigation centering on problems in homogeneous dynamics and fundamental questions about lattices. We will focus in particular on problems which hold the promise ...

Forskningsprojekt från 2015-01-01 till 2018-12-31

This project concerns computational methods for wave propagation problems. We propose to develop efficient and accurate techniques to implement important boundary and/or interface conditions for second ...

Forskningsprojekt från 2019-01-01 till 2021-12-31

1) Utveckla en tillförlitlig 3D vågutbrednings modell i realistiska atmosfärer. Motivet är att modellera ljudutbredning från en mängd olika ljudkällor, såsom vindkraftverk, byggarbeten, vägtrafik, flygplan ...

Forskningsprojekt från 2017-01-01 till 2020-12-31

The research program studies contact and symplectic topology and its relations to other geometric fields, in particular to physics inspired low-dimensional topology and knot theory. The main tool is theories ...

Forskningsprojekt från 2020-01-01 till 2023-12-31

In this project we are concerned with degenerate parabolic equations and their applications to AI.This project has two directions. The first direction concerns boundary comparison principles, specifically ...

Forskningsprojekt från 2019-07-01 till 2022-06-30

The matrices arising from the discretization of PDE and FDE by numerical methods (FD, FE, FV, IgA, DG, ...) usually have a Toeplitz-like structure. More precisely, they are generalized locally Toeplitz ...

Forskningsprojekt från 2021-01-01 till 2024-12-31

The framework of string compactifications is of undisputed importance to connect string theory to the physics of our world, and has promoted progress in fields ranging from quantum gravity and cosmology ...

Forskningsprojekt från 2014-01-01 till 2014-12-31

Till skillnad från många andra konstruktionsmaterial är träfiberbaserade kompositmaterial tillverkade av en förnybar resurs. Tidiga generationer av sådana kompositer finns tillgängliga, men eftersom de ...

Forskningsprojekt från 2016-01-01 till 2019-12-31

Detailed stochastic models of single-cell molecular networks have led to important biological insights into diverse cellular phenomena, and computational experiments hold great promise to complement wet ...

Forskningsprojekt från 2021-01-01 till 2024-12-31

The Fukaya category is a powerful invariant of exact symplectic manifolds in the form of an A-infinity category, the objects of which consist of (a suitable class of) its Lagrangian submanifolds, while ...

Forskningsprojekt från 2013-01-01 till 2016-12-31

This project studies the mathematical models arising from a variety of imaging techniques. These problems are formulated mathematically as "inverse problems" where one deduces information about the differential ...

Forskningsprojekt från 2017-01-01 till 2020-12-31

Conserved quantities are important in various areas of physics, as in many cases they provide an essential characterization of a physical system. However, to define the mass, center of mass, angular and ...

Forskningsprojekt från 2015-01-01 till 2018-12-31

This project is in the area of Theoretical and Mathematical Physics. The main emphasis is on the development of new geometrical ideas and concepts originating from the modern string theory and the quantum ...

Forskningsprojekt från 2012-01-01 till 2014-12-31

This project is in the area of Theoretical and Mathematical Physics. The main emphasis is on the development of new geometrical ideas and concepts originating from the modern string theory and ...

Forskningsprojekt från 2014-01-01 till 2016-12-31

During the past decade there has been an important development of the mathematical tools available for high-energy physics. I have participated in and contributed to this development of Generalized Complex ...

Forskningsprojekt från 2016-01-01 till 2018-12-31

Herding of sheep by dogs is a powerful example of one individual causing many unwilling individuals (agents) to move in the same direction. However, the need to herd autonomous, interacting agents is not ...

Forskningsprojekt från 2019-01-01 till 2022-12-31

The purpose of this project is efficient computational techniques for wave propagation in non-trivial geometries. The aim is to develop, analyze and implement a cut finite element method for high order ...

Forskningsprojekt från 2015-01-01 till 2018-12-31

This research project aims to study several related topics in higher dimensional Auslander-Reiten theory. Classical Auslander-Reiten theory is an important tool in representation theory of associative ...

Forskningsprojekt från 2017-01-01 till 2020-12-31

The long-term purpose of this project is to create a simulation tool to monitor and support the respiratory function of patients subject to mechanical ventilation. The motivation for the project is the ...

Forskningsprojekt från 2013-01-01 till 2013-12-31

More than thirty years ago a result derived in the context of superspace supergravity indicated that even the most promising supergravity candidate had problems when viewed as a model for quantum gravity ...

Forskningsprojekt från 2018-12-01 till 2021-12-31

The main purpose of this project is to further the understanding of exact Lagrangian manifolds in symplectic manifolds, and understand the relations to quantum physics. We propose the following specific ...

Forskningsprojekt från 2018-01-01 till 2021-12-31

Optimal control problems governed by partial differential equations arise in a wide variety of important applications and include optimal design, optimal control and parameter estimation of various systems ...

Forskningsprojekt från 2012-01-01 till 2014-12-31

In this project we will develop new mathematical models and computational methods for capillary dominated flow of two immiscible, incompressible fluids in the prescence of moving contact lines. The specific ...

Forskningsprojekt från 2015-01-01 till 2018-12-31

Mathematical morphology (MM) is a widely-used framework for efficient processing and analysis of images. Linear filters, according to the Nyquist-Shannon sampling theory, are not affected by the sampling ...

Forskningsprojekt från 2021-01-01 till 2024-12-31

Patients with severe respiratory symptoms are supported by mechanical ventilation. While the ventilator saves lives, it also damages the respiratory muscles, in particular the diaphragm. This complication ...

Forskningsprojekt från 2014-01-01 till 2017-12-31

Ett klassiskt problem från celest mekanik är att beskriva hur N stycken kroppar (planeter, stjärnor eller satelliter) samverkar och rör sig under gravitationens påverkan. Tidigare försök (av Poincare och ...