Photo:

Eivind Senneset

Antonella Zanna Munthe-Kaas

Head of Department

E-mailantonella.zanna@uib.no
Phone+47 55 58 48 57+47 930 26 273
Visitor Address
Allégaten 41

Realfagbygget

5007 Bergen

Room
4Ab8
Postal Address
Postboks 7803

5020 Bergen

My main research field is in the numerical analysis of differential equations, in particular I am interested in the development of numerical methods that preserve underlying geometrical structures of the equations (geometric integration), like symplecticity or volume preservation.

I am also interested in the application of mathematics to interdisciplinary projects, especially towards medicine. I have established project collaborations with medicine on image processing and image analysis projects, modelling of physiological processes, use of machine learning in image analysis and as a diagnostic tool.

MAT121(Lineær algebra/Linear algebra)

MNF130(Diskrete strukturar/Discrete mathematics)

MAT160(Beregningsalgoritmer/Numerical analysis 1)

MAT213(Funkskjonsteori/Complex analysis)

MAT251(Klassisk og beregningsorientert mekanikk/ Classical and computational mechanics)

MAT261(Numerisk lineæralgebra/Numerial linear algebra)

MAT262(Bildebehandling/Image processing)

MNF262(Innføringskurs i bildebehandling og visualisering)

Master students:

Sjur Kvammen (2006) Geometric Integration Methods for Denoising Tensor-valued Images , University of Bergen
Kristin Eik (2008) Om fluidregistrering for medisinske bilete , University of Bergen
Eyram Schwinger (2009) Renal Function Estimation using Magnetic Resonance Images, University of Bergen
Gleb Berdnikov (2011) Image registration with volume constraints, University of Bergen
Jon Nyfløtt, (2011) "Comparison of distance measures in multimodal image registration", University of Bergen
Anna Katharina Trull (2013) "Estimation of parameter stability in some compartment modeling in DCE-MRI", University of Lübeck.
Milo Viviani (2015), "Geometric integration of the point vortex equation on a rotating sphere", Universita' degli studi di Pavia.
Andrea Raffo (2016), "Comparmental analysis of 4D MRI data. Application to renal physiology", Universita' degli studi di Genova.
Will Haugland (2017), "Real-time image based stabilization for Dynamic Contrast Enhanced Ultrasound", Universitetet i Bergen
Thorstein Rykkje (2018), "Lie groups and the principle of virtual work applied to systems of linked rigid bodies", University of Bergen
Nikolai Sætran (2018), "Lagrangian dynamics for solid multi-body systems with the Moving Frame formalism", University of Bergen
Håkon Gimse, (2019), Convolutional Neural Networks for Malaria Detection, University of Bergen
Fredrick Pfeil, (2019), A higher order IMEX for highly oscillatory differential equations, University of Bergen

PhD Student:

Are Losnegård (2009- ), co-supervisor
Xue Huyian (2009-2013), "Volume preserving integrators for ordinary differential equations". UiB
Eyram Schwinger (2011-2015) Mathematical methods for ship detection from Terra-SAR imaging. University of Ghana, Legon
Tiril Pedersen Gurholt (2013) "Image processing, filtering and segmentation of data-sets for reservoir simulations", co-supervisor, UiB.
Ulin Nuha Abdul Qohar (2017-) "Flow-based interpretation of dynamic contrast enhanced data", UiB
Geir K. Nilsen (November 2018-) UiB

Research associates:

Åsmund Kjørstad, image segmentation of the kidney
Erik Hanson, medical image processing
Aurora Campo, image processing for biology, stereological methods.

Postdocs:

Ilan Degani (2006-2009), quantum control.
Erlend Hodneland (2010-2011), image registration.

MAT292projects:

2009: Erik Natvig, On the optimal control of quantum systems
2009: Børge Garpestad, Applications of differential geometry in computer graphics
2010: Steinar Børge, Pharmacokinetic and compartment modelling

Academic article

Show author(s) (2022). Symplectic P-stable additive Runge—Kutta methods. Journal of Computational Dynamics. 299-328.

Show author(s) (2021). Epistemic uncertainty quantification in deep learning classification by the Delta method. Neural Networks. 164-176.
Show author(s) (2021). Automated segmentation of endometrial cancer on MR images using deep learning. Scientific Reports.
Show author(s) (2021). A nonlinear multi-scale model for blood circulation in a realistic vascular system. Royal Society Open Science.

Show author(s) (2019). Mathematics and Medicine: How mathematics, modelling and simulations can lead to better diagnosis and treatments . Lecture Notes in Computational Science and Engineering. 66-82.
Show author(s) (2019). Efficient Computation of Hessian Matrices in TensorFlow . arXiv.org.
Show author(s) (2019). Chains of rigid bodies and their numerical simulation by local frame methods. Journal of Computational Dynamics. 260-278.
Show author(s) (2019). A new framework for assessing subject-specific whole brain circulation and perfusion using MRI-based measurements and a multi-scale continuous flow model. PLoS Computational Biology. 1-31.

Show author(s) (2017). Some integrability properties of the Kahan method. AIP Conference Proceedings.

Show author(s) (2016). Physical models for simulation and reconstruction of human tissue deformation fields in dynamic MRI. IEEE Transactions on Biomedical Engineering. 2200-2210.
Show author(s) (2016). A classification of volume preserving generating forms in R^3. Discrete and Continuous Dynamical Systems. Series A. 2285-2303.

Show author(s) (2015). Projection methods and discrete gradient methods for preserving first integrals of ODES. Discrete and Continuous Dynamical Systems. Series A. 2079-2098.
Show author(s) (2015). Explicit volume-preserving splitting methods for divergence-free ODEs by tensor-product basis decompositions. IMA Journal of Numerical Analysis. 89-106.

Show author(s) (2014). Symmetric spaces and Lie triple systems in numerical analysis of differential equations. BIT Numerical Mathematics. 257-282.
Show author(s) (2014). Segmentation-driven image registration-application to 4D DCE-MRI recordings of the moving kidneys. IEEE Transactions on Image Processing. 2392-2404.
Show author(s) (2014). Normalized gradient fields for nonlinear motion correction of DCE-MRI time series. Computerized Medical Imaging and Graphics. 202-210.
Show author(s) (2014). Normalized gradient fields and mutual information for motion correction of DCE-MRI images. Image and Signal Processing and Analysis. 202-210.
Show author(s) (2014). Generating functions and volume preserving mappings. Discrete and Continuous Dynamical Systems. Series A. 1229-1249.

Show author(s) (2013). Explicit volume-preserving splitting methods for polynomial divergence-free vector fields. BIT Numerical Mathematics. 265-281.
Show author(s) (2013). Comparative analysis of various thresholding techniques on TerraSAR-X images in the presence of speckle noise. Image and Signal Processing and Analysis. 36-42.

Show author(s) (2012). Optimal quantum control by an adapted coordinate Ascent algorithm. SIAM Journal on Scientific Computing. A1488-A1521.
Show author(s) (2012). Automated approaches for analysis of multimodal MRI acquisitions in a study of cognitive aging. Computer Methods and Programs in Biomedicine. 328-341.

Show author(s) (2011). In vivo estimation of glomerular filtration in the kidney using DCE-MRI. Image and Signal Processing and Analysis. 755-61.

Show author(s) (2010). Algorithm 903: FRB-Fortran Routines for the Exact Computation of Free Rigid Body Motions. ACM Transactions on Mathematical Software. 24 pages.

Show author(s) (2009). Quantitative assessment of kidney function using dynamic contrast enhanced MRI – Steps towards an integrated software prototype. Image and Signal Processing and Analysis. 575-581.
Show author(s) (2009). QUANTUM CONTROL WITH PIECEWISE CONSTANT CONTROL FUNCTIONS. SIAM Journal on Scientific Computing. 3566-3594.
Show author(s) (2009). Generalized polar coordinates on Lie groups and numerical integrators. Numerische Mathematik. 161-187.

Show author(s) (2008). Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields. Foundations of Computational Mathematics. 335-355.

Show author(s) (2007). The exact computation of the free rigid body motion and its use in splitting methods. SIAM Journal on Scientific Computing. 2084-2112.

Show author(s) (2006). Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients. Applied Numerical Mathematics. 814-843.

Show author(s) (2005). The discrete Moser-Veselov algorithm for the free rigid body, revisited. Foundations of Computational Mathematics. 87-123.
Show author(s) (2005). Efficient computation of the matrix exponential by generalized polar decompositions. SIAM Journal on Numerical Analysis. 2218-2256.

Show author(s) (2004). Recurrence relations and convergence theory of the generalized polar decomposition on Lie groups. Mathematics of Computation. 761-776.
Show author(s) (2004). On the Spectra of Certain Matrices Generated by Involutory Automorphisms. SIAM Journal on Matrix Analysis and Applications. 1110-1123.

Report

Show author(s) (2006). Issues in postgraduate supervision : a gender aspect. .

Lecture

Show author(s) (2019). UHT-MNT Fagorgan i matematikk og Norsk matematikkråd.

Show author(s) (2018). Flow based interpretation of dynamical contrast enhanced data.

Show author(s) (2017). Experience with Canvas/MittUib and integration with external tools.

Show author(s) (2014). Symmetries and reversing symmetries in differential equations and linear algebra.

Popular scientific lecture

Show author(s) (2008). Image registration by matrix Lie group actions.

Academic lecture

Show author(s) (2021). Computational Study of Vessel Occlusion using a Nonlinear Multiscale Blood Flow Model.
Show author(s) (2021). A computational fluid dynamics framework to generate digital reference objects for perfusion imaging.

Show author(s) (2020). Nye metoder for distribuert og data-drevet simulering av blodstrøm i hjernen.

Show author(s) (2019). On the construction of some symplectic P-stable additive Runge—Kutta methods.
Show author(s) (2019). Mathematics and Medicine. Some interdisciplinary projects at the University of Bergen.
Show author(s) (2019). A study of blood flow regulation on collateral circulation using multiscale flow model.
Show author(s) (2019). A multi-scale flow model for studying blood circulation in the vascular system.

Show author(s) (2018). A family of modified trigonometric integrators for highly oscillatory problems with good geometric properties.

Show author(s) (2017). Mathematics & Medicine - how mathematics, modelling and simulation can lead to better diagnosis and treatment.
Show author(s) (2017). A modified trigonometric integrator for highly oscillatory problems.
Show author(s) (2017). A family of modified trigonometric integrators for highly oscillatory problems with good geometric properties.

Show author(s) (2014). Testing explicit volume-preserving methods: Quasi-Geostrophic flows.
Show author(s) (2014). On a problem in quantum control.
Show author(s) (2014). On a problem in quantum control.

Show author(s) (2013). Volume preserving numerical methods and generating forms.
Show author(s) (2013). Symmetric spaces and Lie triple systems in numerical analysis of differential equations.
Show author(s) (2013). Some new insight in volume preserving forms and divergence free differential equations.
Show author(s) (2013). Normalized gradient fields and mutual information for motion correction of DCE-MRI images.
Show author(s) (2013). Model based perfusion/filtration of the kidney.
Show author(s) (2013). Generating forms and volume preserving numerical integrators.
Show author(s) (2013). Comparative Analysis of Various Thresholding Techniques on TerraSAR-X Images in the Presence of Speckle Noise.
Show author(s) (2013). An introduction to image registration.

Show author(s) (2011). Testing explicit volume-preserving splitting methods: Quasi-Geostrophic equations.
Show author(s) (2011). Recent advancements on explicit volume-preserving splitting methods.
Show author(s) (2011). Recent advancements on explicit volume-preserving splitting methods.
Show author(s) (2011). MR perfusion imaging of the kidney.
Show author(s) (2011). In vivo estimation of glomerular filtration in the kidney using DCE-MRI.

Show author(s) (2010). Generalized polar decompositions in control.
Show author(s) (2010). Generalized Polar coordinates in Control.
Show author(s) (2010). Explicit volume-preserving splitting methods II: the case of trigonometric polynomials and tensor-product bases.
Show author(s) (2010). Explicit volume-preserving methods for divergence-free vector fields: basis tensor product.
Show author(s) (2010). Explicit volume preserving splitting methods for divergence-free vectorfields: Laurent polynomials.

Show author(s) (2009). Quantitative assessment of kidney function using dynamic contrast enhanced MRI – Steps towards an integrated software prototype.
Show author(s) (2009). Issues in quantum computing.
Show author(s) (2009). Generalized polar coordinates on Lie groups.

Show author(s) (2008). Image registration by matrix group transformations.
Show author(s) (2008). Control and efficient simulation of quantum dynamics.
Show author(s) (2008). Control and efficient simulation of quantum dynamics.
Show author(s) (2008). Control and efficient simulation of quantum dynamics.
Show author(s) (2008). Control and efficient simulation of quantum dynamics.
Show author(s) (2008). Control and efficient simulation of quantum dynamics.
Show author(s) (2008). Control and efficient simulation of quantum dynamics.
Show author(s) (2008). A phantom model for testing registration in kidney perfusion analysis.

Show author(s) (2007). On the exact integration of Rigid Body equations.
Show author(s) (2007). Lie group methods: where are we heading next?
Show author(s) (2007). Exact and approximate methods for the free rigid body.

Show author(s) (2006). Volume preserving splitting methods for divergence free vector fields.
Show author(s) (2006). On the integration of the attitude matrix for the rigid body.
Show author(s) (2006). Geometric methods in diffusion tensor imaging of the brain.
Show author(s) (2006). Explicit, volume preserving splitting methods for divergence-free polynomial vector fields.
Show author(s) (2006). Explicit volume preserving methods for divergence-free polynomial vector fields.

Show author(s) (2004). The discrete Moser--Veselov algorithm for the rigid body.
Show author(s) (2004). The Moser--Veselov algorithm for the free rigid body, revisited.

Editorial

Show author(s) (2014). Guest editors' preface. Discrete and Continuous Dynamical Systems. Series A. i-ii.

Show author(s) (2008). Guest Editors' Preface. Foundations of Computational Mathematics. 289-290.

Reader opinion piece

Show author(s) (2021). Trenger Norge flere kvinnelige realister? Bergens Tidende.
Show author(s) (2021). Eksamen i matematikk er på ville veier. Aftenposten (morgenutg. : trykt utg.).

Book review

Show author(s) (2008). MR2358624 (2008m:70055). Mathematical Reviews.
Show author(s) (2008). MR2335372 (2008h:37083). Mathematical Reviews.
Show author(s) (2008). MR2317009 (2008e:37081). Mathematical Reviews.

Masters thesis

Show author(s) (2019). Convolutional Neural Networks for Malaria Detection.

Show author(s) (2018). Lagrangian dynamics for solid multi-body systems with the Moving Frame formalism.

Show author(s) (2011). Image Registration with Volume Constraints.
Show author(s) (2011). Comparison of distance measures in Multimodal registration of medical images.