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Mathematics
The group in applied mathematics works with the development of mathematical methods in spectral and scattering theory, partial and ordinary differential equations, semiclassical analysis and microlocal analysis in relation to different phenomena in quantum mechanics, wave propagation and biology. In addition, the group works with signal and image analysis.
Applied Mathematics
The following fields are part of the research within Applied Mathematics:
Spectral and scattering theory
The group studies the spectral properties of one-body Schrödinger and Dirac type operators using both the generalization of exact Gelfand- Levitan-Marchenko inverse spectral theory and asymptotical semiclassical methods, and inverse problems in wave propagation. The group also deals with applications of the semiclassical description of surface and body waves and inverse spectral and resonance problems to recover the inner Earth and planets structure from the surface or close-to-surface seismic measurements.
Mathematical biology and epidemiology
The group applies the ordinary differential equation (ODE) approach to study the dynamics of infectious diseases and the associated control mechanism, the interaction of different species and stabilization/destabilization phenomena in ecosystems.
Image analysis and remote sensing
The group develops the partial differential equation (PDE) methods in image analysis which are numerically stable and have the ability to extract important features (e.g., edges, cups) of the image. The group applies signal- and image analysis methods to data from earth-observing satellites to extract information on e.g., variations in vegetation and ecosystems on a local to the global scale as a result of climate change.
Researchers, publications and projects
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2024 | Article in journal
Specifika matematiksvårigheter -: diagnos och pedagogiska och didaktiska anpassningar
Helena Roos, Ann-Louise Ljungblad, Jonas Walfridsson
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2024 | Article in journal
Inverse spectral Love problem via Weyl-Titchmarsh function
Samuele Sottile
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2024 | Article in journal
Inverse Resonance Problem for Love Seismic Surface Waves
Samuele Sottile
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2024 | Article in journal
On a new singular and degenerate extension of the p -Laplace operator
George Baravdish, Yuanji Cheng, Olof Svensson
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2024 | Conference paper
The k -Transmitter Watchman Route Problem is NP-Hard Even in Histograms and Star-Shaped Polygons
Brötzner Anna, Bengt J. Nilsson, Christiane Schmidt
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2024 | Conference paper
The Complexity of the Lower Envelope of Collections of Various Geometric Shapes
Carlos Alegría, Brötzner Anna, Bengt J. Nilsson, Christiane Schmidt, Carlos Seara
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2024 | Conference paper
Flips in Odd Matchings
Oswin Aichholzer, Brötzner Anna, Daniel Perz, Patrick Schnider
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2024 | Article in journal
Bicolored Order Types
Oswin Aichholzer, Brötzner Anna
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2024 | Conference paper
Faces in Rectilinear Drawings of Complete Graphs
Martin Balko, Brötzner Anna, Fabian Klute, Josef Tkadlec
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2024 | Article in journal
Inverse problem for Love waves in a layered, elastic half-space
Maarten V De Hoop, Josselin Garnier, Alexei Iantchenko, Julien Ricaud