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

Publications of Dr. Jens Oettershagen:

[1] G. Avila, J. Oettershagen, and T. Carrington. Comparing nested sequences of Leja and PseudoGauss points to interpolate in 1D and solve the Schroedinger equation in 9D. In Sparse grids and Applications, Lecture Notes in Computational Science and Engineering. Springer, 2018. To appear.
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[2] C. Kacwin, J. Oettershagen, M. Ullrich, and T. Ullrich. Numerical performance of optimized Frolov lattices in tensor product reproducing kernel Sobolev spaces. 2018. INS Preprint No. 1801.
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[3] J. Oettershagen. On optimal quadrature in reproducing kernel Hilbert spaces. 2018. submitted.
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[4] J. Oettershagen. Construction of Optimal Cubature Algorithms with Applications to Econometrics and Uncertainty Quantification. Dissertation, Institut für Numerische Simulation, Universität Bonn, jan 2017.
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[5] C. Kacwin, J. Oettershagen, and T. Ullrich. On the orthogonality of the Chebyshev-Frolov lattice and applications. Monatshefte für Mathematik, 184(3):425–441, 2017.
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[6] M. Griebel and J. Oettershagen. On tensor product approximation of analytic functions. Journal of Approximation Theory, 207:348-379, 2016. Also available as INS Preprint No. 1512.
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[7] A. Hinrichs, L. Markhasin, J. Oettershagen, and T. Ullrich. Optimal quasi-Monte Carlo rules on higher order digital nets for the numerical integration of multivariate periodic functions. Numerische Mathematik, 134(1):163-196, 2016.
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[8] A. Hinrichs and J. Oettershagen. Optimal point sets for quasi-Monte Carlo integration of bivariate periodic functions with bounded mixed derivatives. In R. Cools and D. Nuyens, editors, Monte Carlo and Quasi-Monte Carlo Methods: MCQMC, Leuven, Belgium, April 2014, pages 385-405. Springer International Publishing, 2016.
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[9] M. Griebel and J. Oettershagen. Dimension-adaptive sparse grid quadrature for integrals with boundary singularities. In Sparse grids and Applications, volume 97 of Lecture Notes in Computational Science and Engineering, pages 109-136. Springer, 2014. Also available as INS Preprint no 1310.
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[10] J. Oettershagen. Reduktion der effektiven Dimension und ihre Anwendung auf hochdimensionale Probleme. Diplomarbeit, Institut für Numerische Simulation, Universität Bonn, 2011.
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