Priv.-Doz. Mag. Dr.
Peter Kritzer
CMS Tracker
Kontakt
Email: Peter.Kritzer(at)oeaw.ac.at
Telefon: +43 (732) 2468 - 5239
https://orcid.org/0000-0002-7919-7672
Veröffentlichungen
Beitrag in Fachzeitschrift (32)
- Kritzer, P. (2024) Selected aspects of tractability analysis. J. Complexity, Bd. 84, S. 101869.RIS ENW BIB
- Emenike, O.; Hickernell, F.J.; Kritzer, P. (2024) A unified treatment of tractability for approximation problems defined on Hilbert spaces. J. Complexity, Bd. 84, S. 101856.RIS ENW BIB
- Krieg, D.; Kritzer, P. (2024) Homogeneous algorithms and solvable problems on cones. J. Complexity, Bd. 83, S. 101840.RIS ENW BIB
- Dick, J.; Ebert, A.; Herrmann, L.; Kritzer, P.; Longo, M. (online: 2023) The fast reduced QMC matrix-vector product. Journal of Computational and Applied Mathematics, Bd. 440, S. 115642.RIS ENW BIB
- Kritzer, P.; Osisiogu, O. (2023) On a reduced component-by-component digit-by-digit construction of lattice point sets. Uniform Distribution Theory, Bd. 18 (1), S. 97-140.RIS ENW BIB
- Kritzer, P. (2023, online: 2022) A note on the CBC-DBD construction of lattice rules with general positive weights. Journal of Complexity, Bd. 76, S. 101721.DOI RIS ENW BIB
- Ebert, A.; Kritzer, P.; Osisiogu, O.; Stepaniuk, T. (2022, online: 2021) Component-by-component digit-by-digit construction of good polynomial lattice rules in weighted Walsh spaces. Constructive Approximation, Bd. 56, S. 75-119.RIS ENW BIB
- Ebert, A.; Kritzer, P.; Osisiogu, O.; Stepaniuk, T. (2022, online: 2021) Construction of good polynomial lattice rules in weighted Walsh spaces by an alternative component-by-component construction. Mathematics and Computers in Simulation, Bd. 192, S. 399-419.RIS ENW BIB
- Grohs, P.; Kritzer, P.; Kunisch, K.; Ramlau, R.; Scherzer, O. (2021) RICAM, the Johann Radon Institute for Computational and Applied Mathematics. European Mathematical Society Magazine, Bd. 122, S. 46-51.RIS ENW BIB
- Kritzer, P.; Pillichshammer, F.; Wasilkowski, G.W. (2021) On quasi-Monte Carlo methods in weighted ANOVA spaces. Mathematics of Computation, Bd. 90, S. 1381-1406.RIS ENW BIB
- Ebert, A.; Kritzer, P.; Nuyens, D.; Osisiogu, O. (online: 2021) Digit-by-digit and component-by-component constructions of lattice rules for periodic functions with unknown smoothness. Journal of Complexity, Bd. 66, S. 101555.RIS ENW BIB
- P. Kritzer, ; F. Pillichshammer, ; Wozniakowski, H. (2020) Exponential tractability of linear weighted tensor product problemsin the worst-case setting for arbitary linear functionals. Journal of Complexity, Bd. 61, S. 101501.DOI RIS ENW BIB
- P. Kritzer, ; F. Pillichshammer, ; L. Plaskota, ; Wasilkowski, G.W. (2020) On efficient weighted integration via a change of variables. Numerische Mathematik, Bd. 146, S. 545-570.RIS ENW BIB
- P. Kritzer, ; F. Pillichshammer, ; L. Plaskota, ; Wasilkowski, G.W. (2020) On alternative quantization for doubly weighted approximation and integration over unbounded domains. Journal of Approximation Theory, Bd. 256, S. 105433.DOI RIS ENW BIB
- Kritzer, P.; Pillichshammer, F.; Wasilkowski, G.W. (2019, online: 2018) Truncation in average and worst case settings for special classes of $infty$-variate functions. Mathematics and Computers in Simulations, Bd. 161, S. 52-65.RIS ENW BIB
- P. Kritzer, ; G. Leobacher, ; M. Szölgyenyi, ; Thonhauser, S. (2019) Approximation methods for piecewise deterministic Markov processes and their costs. Scandinavian Actuarial Journal, Bd. 2019, n. 4, S. 308-335.RIS ENW BIB
- Kritzer, P.; Wozniakowski, H. (2019, online: 2018) Simple characterizations of exponential tractability for linear multivariate problems. Journal of Complexity, Bd. 51, S. 110-128.RIS ENW BIB
- Kritzer, P.; Kuo, F.Y.; Nuyens, D.; Ullrich, M. (2019, online: 2018) Lattice rules with random n achieve nearly the optimal O(n^{-alpha-1/2}) error independently of the dimension. Journal of Approximation Theory, Bd. 240, S. 96-113.RIS ENW BIB
- Ebert, A.; Kritzer, P. (2019, online: 2018) Constructing lattice points for numerical integration by a reduced fast successive coordinate search algorithm. Journal of Computational and Applied Mathematics, Bd. 351, S. 77-100.RIS ENW BIB
- Hinrichs, A.; Kritzer, P.; Pillichshammer, F.; Wasilkowski, G.W. (2019, online: 2018) Truncation Dimension for Linear Problems on Multivariate Function Spaces. Numerical Algorithms, Bd. 80, S. 661-685.RIS ENW BIB
- Kritzer, P.; Laimer, H.; Pillichshammer, F. (2018, online: 2017) Tractability of L_2-approximation in hybrid function spaces. Functiones et Approximatio Commentarii Mathematici, Bd. 58 (1), S. 89-104.DOI RIS ENW BIB
- Irrgeher, C.; Kritzer, P.; Pillichshammer, F. (2018, online: 2016) Integration and approximation in cosine spaces of smooth functions. Mathematics and Computers in Simulation, Bd. 143, S. 35-45.RIS ENW BIB
- Kritzer, P.; Pillichshammer, F.; Wozniakowski, H. (2017) L_infty-approximation in Korobov spaces with exponential weights. Journal of Complexity, Bd. 41, S. 102-125.DOI RIS ENW BIB
- Kritzer, P.; Pillichshammer, F.; Wasilkowski, G.W. (2017, online: 2016) A note on equivalence of anchored and ANOVA spaces; lower bounds. Journal of Complexity, Bd. 38, S. 31-38.RIS ENW BIB
- Kritzer, P.; Niederreiter, H. (2016) Mixed orthogonal arrays, (u,m,e,s)-nets, and (u,e,s)-sequences. Discrete Mathematics, Bd. 339, S. 2199-2208.DOI RIS ENW BIB
- Kritzer, P.; Pillichshammer, F.; Wasilkowski, G.W. (2016) Very low truncation dimension for high dimensional integration under modest error demand. Journal of Complexity, Bd. 35, S. 63-85.RIS ENW BIB
- Irrgeher, C.; Kritzer, P.; Pillichshammer, F.; Wozniakowski, H. (2016) Tractability of Multivariate Approximation Defined over Hilbert Spaces with Exponential Weights. Journal of Approximation Theory, Bd. 207, S. 301-338.RIS ENW BIB
- Irrgeher, C.; Kritzer, P.; Pillichshammer, F.; Wozniakowski, H. (2016) Approximation in Hermite spaces of smooth functions. Journal of Approximation Theory, Bd. 207, S. 98-126.RIS ENW BIB
- Hellekalek, P.; Kritzer, P.; Pillichshammer, F. (2016, online: 2015) Open type quasi-Monte Carlo integration based on Halton sequences in weighted Sobolev spaces. Journal of Complexity, Bd. 33, S. 169-189.RIS ENW BIB
- Dick, J.; Kritzer, P. (2016, online: 2015) On a projection-corrected component-by-component construction. Journal of Complexity, Bd. 32, S. 74-80.RIS ENW BIB
- Dick, J.; Kritzer, P.; Leobacher, G.; Pillichshammer, F. (2015) Numerical integration in log-Korobov and log-cosine spaces. Numerical Algorithms, Bd. 70, S. 753-775.RIS ENW BIB
- Faure, H.; Kritzer, P.; Pillichshammer, F. (2015) From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules. Indagationes Mathematicae, Bd. 26, S. 760-822.RIS ENW BIB
Buch/Monographie (2)
- J. Dick, P. Kritzer, F. Pillichshammer (2022) Lattice Rules. In Reihe: Springer Series in Computational Mathematics: Springer Verlag.RIS ENW BIB
- F. J. Hickernell, P. Kritzer (eds.) (2020) Multivariate Algorithms and Information-Based Complexity., hrsg. v. Radon Series on Computational and Applied Mathematics, 27; Berlin: de Gruyter.RIS ENW BIB
Konferenzbeitrag: Publikation in Proceedings (3)
- Ebert, A.; Kritzer, P.; Nuyens, D. (2020) Constructing QMC Finite Element Methods for Elliptic PDEs with Random Coefficients by a Reduced CBC Construction. In: L'Ecuyer, P.; Tuffin, B. (Hrsg.), Monte Carlo and Quasi-Monte Carlo Methods 2018; Cham: Springer, S. 183-205.RIS ENW BIB
- Hickernell, F. J.; Kritzer, P.; Wozniakowski, H. (2020, online: 2019) Exponential tractability of linear tensor productproblems. In: Wood, D.R.; DeGier, J.; Praeger, C.; Tao, T. (Hrsg.), 2018 MATRIX Annals; Cham: Springer, S. 61-78.RIS ENW BIB
- Kritzer, P.; Pillichshammer, F. (2016) Tractability of multivariate integration in hybrid function spaces. In: Cools, R.; Nuyens, D. (Hrsg.), Monte Carlo and Quasi-Monte Carlo Methods 2014 (MCQMC 2014); Berlin: Springer, S. 437-454.RIS ENW BIB
Beitrag in Sammelwerk (4)
- Ebert, A.; Kritzer, P.; Pillichshammer, F. (2022) Tractability of approximation in the weighted Korobov space in the worst-case setting. In: Botev, Z.; Keller, A.; Lemieux, C.; Tuffin, B. (Hrsg.), Advances in Modeling and Simulation; Cham: Springer, S. 131-150.RIS ENW BIB
- Ding, Y.; Hickernell, F.J.; Kritzer, P.; Mak, S. (2020) Adaptive approximation for multivariate linear problems with inputs lying in a cone. In: Hickernell, F.J.; Kritzer, P. (Hrsg.), Multivariate Algorithms and Information-Based Complexity; Berlin/Boston: DeGruyter, S. 109-145.RIS ENW BIB
- Kritzer, P.; Niederreiter, H.; Pillichshammer, F. (2018) Ian Sloan and Lattice Rules. In: Dick, J.; Kuo, F.Y.; Wozniakowski, H. (Hrsg.), Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan: Springer, S. 741-769.RIS ENW BIB
- Kritzer, P.; Pillichshammer, F.; Wasilkowski, G.W. (2018) Truncation Dimension for Function Approximation. In: Dick, J.; Kuo, F.Y.; Wozniakowski, H. (Hrsg.), Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan: Springer, S. 771-792.RIS ENW BIB
Herausgeberschaft (1)
- G. Leobacher, E. Buckwar, P. Kritzer, F. Pillichshammer, A. Winterhof (Hrsg.) (2018) Mathematics and computers in simulation: Special issue 10th IMACS seminar on Monte Carlo methods., 143. Aufl.DOI RIS ENW BIB