Marta M. Betcke
INVERSE PROBLEMS GROUP
Alan Turing Building 1.130
School Responsibilities:
Research Associate
Page contents:
About me
Since February 2007 I am working as a research associate with Prof Bill Lionheart on the applications of X-ray CT scanners to the airport security. Unfortunately, due to the commercial aspect of this work I can not share it freely on this webpage.
Previously, I was a PhD student at the Hamburg University of Technology, where I have been working with Prof Heinrich Voss on nonlinear eigenvalue problems and their applications in acoustics, structural dynamics and quantum mechanics.
For more detailed information you may look at my CV.
Research interest
- Inverse problems
- Image reconstruction in Computed Tomography (CT) and Optical Tomography
- Compressed Sensing
- Numerical Linear Algebra
- Numerical Analysis
- Eigenvalue computations
- Structure preserving algorithms
- Applications of large scale eigenvalue computations in physics and engineering sciences
Publications
Phd Thesis:
- M.M. Betcke, Iterative Projection Methods for Symmetric Nonlinear Eigenvalue Problems with Applications
Submitted:
- M.M. Betcke and H. Voss, Analysis and efficient solution of stationary Schrodinger equation governing electronic states of quantum dots and rings in magnetic field
Preprints:
- M.M. Betcke, V. Lochmann and H. Voss, Computing interior eigenvalues of nonlinear Hermitean eigenvalues problems
Refereed:
- M.M. Betcke and H. Voss, Restarting projection methods for rational eigenproblems arising in fluid-solid vibrations, Mathematical Modelling and Analysis 13(2), pp. 171-182 (2008)
- M.M. Betcke and H. Voss, Numerical simulation of electronic properties of coupled quantum dots on wetting layers, Nanotechnology 19, 165204 (2008)
- M.M. Betcke and H. Voss, Stationary Schrodinger equations governing electronic states of quantum dots in the presence of spin-orbit splitting, Applications of Mathematics 52(3), pp. 267-284 (2007)
- M. Markiewicz and H. Voss, Electronic States in Three Dimensional Quantum Dot/Wetting Layer Structures, ICCSA , LNCS 3980, pp. 684 - 693 (2006)
- M. Markiewicz and H. Voss, A local restart procedure for iterative projection methods for nonlinear symmetric eigenproblems, Proceeding of ALGORITMY, pp. 212-221 (2005)
Unrefereed:
- M.M. Betcke, H. Voss, Electron energy level calculations for semiconductor nanostructures, Proc. Appl. Math. Mech. 7, 1020403 -- 1020404 (2007)
- M. Markiewicz, H. Voss, Computing Interior Eigenvalues of Conservative Gyroscopic Problems, Proc. Appl. Math. Mech. 4, 674--675 (2004)
Other:
- M. Markiewicz, Numerical
Simulation of Quantum Dots, Poster presentation (Winner, Best
Poster Award), Bedlewo, 2006
Workshops
Organiser of the workshop: New Directions in Tomographic Image Reconstruction (jointly with Bill Lionheart, Wagner Minuz and Phil Withers)Recent Teaching
- VCIPT course: Hands-on Practical Reconstruction using Matlab
- Lecturer, Further Mathematics for Civil Engineers, Spring 2009, The University of Manchester (second half of the course)