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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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Staff
Jakob Blomqvist - Program director/Senior lecturer
jakob.blomqvist@mau.se -
YCStaff
Yuanji Cheng - Senior lecturer
yuanji.cheng@mau.se -
Staff
Laurence Delacour - Lecturer
laurence.delacour@mau.se -
PJStaff
Per Jönsson - Professor
per.jonsson@mau.se -
Staff
Bengt J. Nilsson - Head of department/Professor
bengt.nilsson.ts@mau.se -
Staff
Jöran Petersson - Associate Professor
joran.petersson@mau.se -
Staff
Catrin Stensson - Doctoral student/Lecturer
catrin.stensson@mau.se -
NTStaff
Nina Taslaman - Senior lecturer
nina.taslaman@mau.se -
AWStaff
Anna Wernberg - Senior lecturer
anna.wernberg@mau.se
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2022 | Article in journal
Inverse problem for the Rayleigh system with spectral data
Maarten V. de Hoop, Alexei Iantchenko
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2021 | Article in journal
Statistical Models for the Analysis of Optimization Algorithms with Benchmark Functions
D. I. Mattos, J. Bosch, Helena Holmström Olsson
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2021 | Other
Inverse problems in Seismology with spectral and resonance data
Alexei Iantchenko, Maarten V. de Hoop
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2021 | Article in journal
A semi-analytical coupled simulation approach for induction heating
M. Areitioaurtena, U. Segurajauregi, V. Akujärvi, Martin Fisk, I. Urresti, E. Ukar
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2021 | Article in journal
Opportunities to learn foundational number sense in three Swedish year one textbooks: implications for the importation of overseas-authored materials
Judy Sayers, Jöran Petersson, Eva Rosenqvist, Paul Andrews
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2020 | Article in journal
Destabilization, Stabilization, and Multiple Attractors in Saturated Mixotrophic Environments
Torsten Lindström, Yuanji Cheng, Subhendu Chakraborty
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2020 | Conference paper
Semiclassical Surface Wave Tomography of Isotropic Media
Alexei Iantchenko, Marten van de Hoop
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2020 | Article in journal
Directions of intentionalities in special needs education in mathematics
Anette Bagger, Helena Roos, Margareta Engvall
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2020 | Article in journal
Generalizations of p -Laplace operator for image enhancement: Part 2
George Baravdish, Yuanji Cheng, Olof Svensson, Freddie Åström
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2019 | Article in journal
A scalar prototype problem of deep abrasive drilling with an infinite free boundary: an asymptotic modeling study
Ivan I Argatov