Staff Dr. Alexander Hullmann

Mr. Hullmann is now at Deutsche Telekom AG. This page is no longer maintained.

E-Mail: ed tod nnob-inu tod sni ta nnamlluha tod b@foo tod de

Teaching

Summer semester 2014

Winter semester 2013/14

See teaching activities of the whole group.

Completed Research Projects

FIDEUM: Modellierung und Bewertung von Finanzderivaten in unvollständigen Märkten

BMBF support program.

Publications

  1. Optimal scaling parameters for sparse grid discretizations. M. Griebel, A. Hullmann, and P. Oswald. Numerical Linear Algebra with Applications, 22(1):76–100, 2015. Also available as INS Preprint No. 1314. BibTeX PDF DOI
  2. The ANOVA Decomposition and generalized Sparse Grid Methods for the high-dimensional backward Kolmogorov Equation. A. Hullmann. Dissertation, Institut für Numerische Simulation, Universität Bonn, 2015. BibTeX Read
  3. Institute for Numerical Simulation, Report on the Past Six Years. A. Hullmann and M. Griebel, editors. Institute for Numerical Simulation, University of Bonn, Germany, 2015. BibTeX Contact
  4. A sparse grid based generative topographic mapping for the dimensionality reduction of high-dimensional data. M. Griebel and A. Hullmann. In H. Bock, X. Hoang, R. Rannacher, and J. Schlöder, editors, Modeling, Simulation and Optimization of Complex Processes - HPSC 2012, pages 51–62. Springer International Publishing, 2014. BibTeX PDF DOI
  5. Dimensionality reduction of high-dimensional data with a nonlinear principal component aligned generative topographic mapping. M. Griebel and A. Hullmann. SIAM Journal on Scientific Computing, 36(3):A1027–A1047, 2014. Also available as INS Preprint No. 1311. BibTeX PDF DOI
  6. On a multilevel preconditioner and its condition numbers for the discretized Laplacian on full and sparse grids in higher dimensions. M. Griebel and A. Hullmann. In Singular Phenomena and Scaling in Mathematical Models, pages 263–296. Springer International Publishing Switzerland, 2014. BibTeX PDF
  7. An efficient sparse grid Galerkin approach for the numerical valuation of basket options under Kou's jump-diffusion model. M. Griebel and A. Hullmann. In Sparse grids and Applications, Lecture Notes in Computational Science and Engineering, 121–150. Springer, 2013. Also available as INS Preprint No. 1202. BibTeX PDF
  8. Schnelle Varianten des Generative Topographic Mapping. A. Hullmann. Diplomarbeit, Institut für Numerische Simulation, Universität Bonn, dec 2009. BibTeX PDF