Homepage of Timo Betcke

Dr. Timo Betcke

Career Acceleration Fellow
Department of Mathematics
University of Reading
Whiteknights, PO Box 220
Berkshire, RG6 6AX
United Kingdom

E-Mail: t.betcke@reading.ac.uk
Tel: +44 (0) 118 378 4400
Fax: +44 (0)118 931 3423

Fully funded PhD positions available! (Click for more info)

About me

Since 1 October 2009 I am holding a five year Career Acceleration Fellowship about Next Generation Finite Element Methods for Wave Problems at the Department of Mathematics of the University of Reading. The aim of this fellowship is to develop novel nonpolynomial finite element methods for wave problems in complicated heterogeneous media. At the moment I am recruiting a postdoc and PhD students for the project. A specific project page is in preparation and will soon be made available online.

Publications

Submitted Publications

A. H. Barnett, T. Betcke, An exponentially convergent nonpolynomial finite element method for time-harmonic scattering from polygons, submitted to SIAM J. Sci. Comp., 2009
T. Betcke, D. Kressner, Perturbation, Computation and Refinement of Invariant Subspaces for Matrix Polynomials, submitted to Linear Algebra and its Applications, 2009

Refereed Publications:

T. Betcke, Optimal scaling of generalized and polynomial eigenvalue problems, SIAM J. Matrix Anal. Appl. 30, pp. 1320--1338 (2008)
A. H. Barnett and T. Betcke,Stability and convergence of the Method of Fundamental Solutions for Helmholtz problems on analytic domains, J. Comp. Phys. 227, pp. 7003--7026 (2008)
T. Betcke,The generalized singular value decomposition and the method of particular solutions, SIAM J. Sci. Comp. 30, pp. 1278--1295 (2008)
A. H. Barnett and T. Betcke,Quantum mushroom billiards, Chaos 17, 043125 (2007)
T. Betcke, A GSVD formulation of a domain decomposition method for planar eigenvalue problems, IMA J. Numer. Anal. 27, pp. 451--478 (2007)
L. N. Trefethen and T. Betcke, Computed eigenmodes of planar regions, AMS Contemporary Mathematics 412, pp. 297--314 (2006)
T. Betcke and L. N. Trefethen, Reviving the method of particular solutions, SIAM Review 47, pp. 469--491 (2005)
T. Betcke and H. Voss,A Jacobi-Davidson type projection method for nonlinear eigenvalue problems, Future Generation Computer Systems 20, pp. 363--372 (2004)

Unrefereed:

T. Betcke and L. N. Trefethen,Computations of eigenvalue avoidance in planar domains, Proceedings in Applied Mathematics and Mechanics 4, pp. 634--635 (2004)

Other:

A. H. Barnett, T. Betcke MPSPACK, a Matlab toolbox for wave computations
T. Betcke, N. J. Higham, V. Mehrmann, C. Schröder, F. Tisseur, NLEVP: A Collection of Nonlinear Eigenvalue Problems , MIMS EPrint 2008.40 (2008)
T. Betcke, Numerical Computation of Eigenfunctions of Planar Regions, D.Phil thesis, Oxford 2005