ºÚÁϳԹÏ×ÊÔ´

Min hovedforskningsinteresse er i numeriske metoder for differensiallikninger. Jeg er spesielt interessert i metoder som bevarer underliggende geometriske egenskaper (f.eks. symplektiske metoder og volumbevarende metoder).

Jeg er også interessert i tverrfaglig bruk av matematikk og numerikk, spesielt rettet mot medisinske anvendelser, f.eks. bildeanalyse og modellering av fysiologiske prosesser eller maskinlæring for bildeanalyse og diagnostikk.
 

MAT101(Brukerkurs i matematikk)

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) , University of Bergen
• Kristin Eik (2008)  , University of Bergen
• Eyram Schwinger (2009) , University of Bergen
• Gleb Berdnikov (2011) , University of Bergen
• Jon Nyfløtt, (2011) , 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), , University of Bergen
• Nikolai Sætran (2018), ", University of Bergen
• HÃ¥kon Gimse, (2019), , University of Bergen
• Fredrick Pfeil, (2019), A higher order IMEX for highly oscillatory differential equations, University of Bergen
• Ilaria Astrid Bartsch

PhD Student:

• Are LosnegÃ¥rd (2009- ), co-supervisor
• Xue Huyian (2009-2013),  ºÚÁϳԹÏ×ÊÔ´
• Eyram Schwinger (2011-2015) Mathematical methods for ship detection from Terra-SAR imaging. University of Ghana, Legon
• Tiril Pedersen Gurholt (2013) , co-supervisor, ºÚÁϳԹÏ×ÊÔ´.
• Ulin Nuha Abdul Qohar (2017-2023) "Modeling and simulation of blood circulation and perfusion", ºÚÁϳԹÏ×ÊÔ´
• Geir K. Nilsen (2018-2022) "Epistemic Uncertainty Quantification in Deep Learning by the Delta Method", ºÚÁϳԹÏ×ÊÔ´
• I-Hao Chen (2022-2025), "Digitizing Fish Feeding Behaviour - A step towards feeding automation in aquaculture", ºÚÁϳԹÏ×ÊÔ´ & NORCE

Research associates:

• Ã…smund 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, 
• 2009: Børge Garpestad, 
• 2010: Steinar Børge, Pharmacokinetic and compartment modelling

Publikasjoner fra  (krever tilgang).

Cody: Computational Dynamics (2006-2009)

NFR no. 191178/V30, : Geometric Numeric Integration in Applications. (NFR, 2009-2012)

From Vision to Decision

CRiSP (EU, 2011-2013)

NFR no. 208081 DAADppp Bergen-Lübeck, "Explicit Modelling in DCE-MRI" (2011-2012)

ºÚÁϳԹÏ×ÊÔ´-Meltzer  "Imagina -- Multimodal image alignment" (2011-2012)

ºÚÁϳԹÏ×ÊÔ´-SPIRE "Modelling and Quantification in DCE-MRI" (2013-2014)