Home Page of

Xue-Cheng Tai

Professor of Mathematics

I am working at the Mathematics Institute of the University of Bergen, Norway. I am a member of the Center of Integrated Petroleum Research (CIPR) in Bergen and a member of the Center of Mathematics for Applications (CMA) in Oslo. These are two of the Centers of Excellence in Norway. I am an editor for the following journals. You are welcome to submit your papers to the journals. a) International Journal of Numerical Analysis and Modeling. b) International Journal of Tomography & Statistics. c) Numerical Mathematics: Theory, Methods and Applications (NM-TMA) d) Journal of Information and Computing Science.

Research Interests

My research interests are

Domain decomposition methods for elliptic and parabolic partial differential equations.
Parallel operator splitting methods for partial differential equations
Inverse problem (or called distributed parameter identification problems) and their error estimates
Image analysis and levelset related methods (see our web page)

Projects

Starting from 2001, within a special fond of the research council, the following project was financed by NFR: Robust Numerical Methods for Partial Differential Equations. This is a joint cooperation project between the University of Oslo and the University of Bergen. The PIs are: M. Espedal, X.-C. Tai and R. Winther.
Parameter Estimation and geometric fiber reconstruction from Diffusion Tensor Images of the brain

Publications and preprints

Publications and preprints are listed here. Most of the publications can be downloaded using a password obtainable from tai@mi.uib.no.

Formal master and Phd students

Oystein Rognes (master and Phd student, 1993-1997). Thesis: "Subspace correction methods for nonsymmetric parabolic problems."
Marius Lysaker (master, 1998-2001. Phd, 2001--2003). a) Master Thesis: "Noise reduction in MRI-images (in norwegian)". ( pdf file ). b) PhD Thesis: Variational PDE techniques for image processing problems.
Trygve K. Nilssem (Phd 1999-2002) PhD Thesis: "Parameter estimation with the augmented Lagrangian method and a study of some fourth order problems. "
Daniel Nguyen (master, 1998-2000), Thesis: "Inverse problems and streamline diffusion".
Bjorn-Ove Heimsund (master, 1999-2001). Thesis: " Variational and iterative methods".
Lars K. Nielsen (master: 2002-2003; PhD: 2003-2006 ). a) Master Thesis: "Elastic registration of medical images". b) Phd Thesis: " Reservoir characterization by a binary level set method and adaptive multiscale estimation ".
Erlend K. Hodneland (master, 2002-2003). Thesis: "Segmentation of digital images".
Johan Lie (master, 2002-2003). Variational image segmentation using discontinuous level set formulations.
Randi Holm (master, 2003-2004). Inage inpainting usinf nonlinear partial differential equations.
Inge Skjaelaaen (master, 2003-2004). Image segmentation using piecewise constant level set methods .
Erik Boge Karlsen (master, 2004-2006). Image inpainting using vector smoothing and total variation minimizatyion.
Are Losnegaard (master, 2005-2006). Segmentation of 3D medical MR images.
Egil Bae (master, 2006-2007). New PDE-based methods for surface and image reconstruction.

The city and my address

Email: tai@mi.uib.no

Department of Mathematics
University of Bergen
Johannes Brunsgate 12, 5007,
Bergen, Norway.

Phone: 55 58 4868
Fax: 55 58 9672

Not far from here is the city of Bergen.

Lecture times and travel schedule:

77th Annual Meeting of the Gesellschaft fur Angewandte Mathematik und Mechanik e.V. March 27th - 31st, 2006, Technische Universitet Berlin.
Fifth International Conference on Scientific Computing and Applications, May 18-May 21, 2006 Banff, Alberta, Canada
Workshop dedicated to Prof Lin Qun's 70th birthday. The workshop will be held July 15-16, 2006.
Summer school: Jyvaskyla summer school July 31 -- August 4, 2006, Finland.
The ABEL Symposium 2006, Mathematics and Computation, a Contemporary View, May 25-27, Alesund, Norway .
PDE/Numeri conferenn Changsha, China during June 22-26, 2006
Mathematical Methods in Imaging and Image Analysis", June 21--22th, 2006, at East China Normal University, Shanghai.
International Conference on Applicable Harmonic Analysis: Approximation and Application, June 17-21, Beijing, P. R. China
China-Norway-Sweden Workshop on Computational Mathematics, Lund University, June 5-7 2006 (Monday-Wednesday).

Welcome to visit the page for:
An international conference on
PDE-Based Image Processing and Related Inverse Problems, CMA, Oslo, Norway,

August 8-12, 2005.

International Journal Web pages

SIAM web page.

Mathematics of Computation

Americal Mathematical Society (AMS) Web Page

Numerish Mathemaik

Other Springer Journal (not only mathematics)

Other Baltzer Journals

IMA J. Numer. Anal.

all other oxford press journals

All other journal from VSP

Other John Wiley journals

J. of Computational Physics

All Academic Press Journals

Mathematics on the Web