Research Group of Prof. Dr. M. Griebel
Institute for Numerical Simulation
maximize

Publications of Dr. Alexander Hullmann:

[1] M. Griebel, A. Hullmann, and P. Oswald. Optimal scaling parameters for sparse grid discretizations. Numerical Linear Algebra with Applications, 22(1):76-100, 2015. Also available as INS Preprint No. 1314.
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[2] A. Hullmann. The ANOVA decomposition and generalized sparse grid methods for the high-dimensional backward Kolmogorov equation. Dissertation, Institut für Numerische Simulation, Universität Bonn, 2015.
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[3] M. Griebel and A. Hullmann. A sparse grid based generative topographic mapping for the dimensionality reduction of high-dimensional data. 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. Also available as INS Preprint No. 1206.
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[4] M. Griebel and A. Hullmann. On a multilevel preconditioner and its condition numbers for the discretized Laplacian on full and sparse grids in higher dimensions. In Singular Phenomena and Scaling in Mathematical Models, pages 263-296. Springer International Publishing Switzerland, 2014. Also available as INS Preprint No. 1301.
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[5] M. Griebel and A. Hullmann. Dimensionality reduction of high-dimensional data with a nonlinear principal component aligned generative topographic mapping. SIAM Journal on Scientific Computing, 36(3):A1027-A1047, 2014. Also available as INS Preprint No. 1311.
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[6] M. Griebel and A. Hullmann. An efficient sparse grid Galerkin approach for the numerical valuation of basket options under Kou's jump-diffusion model. In Sparse grids and Applications, Lecture Notes in Computational Science and Engineering, pages 121-150. Springer, 2013. Also available as INS Preprint No. 1202.
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[7] A. Hullmann. Schnelle Varianten des Generative Topographic Mapping. Diplomarbeit, Institut für Numerische Simulation, Universität Bonn, Dec. 2009.
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