Krieg, D.; Kritzer, P. (online: 2024) Homogeneous algorithms and solvable problems on cones. J. Complexity, Bd. 83, S. 101840.
RIS
ENW
BIB
Merai, L.; Shparlinski, I.E.; Winterhof, A. (2023) Character sums over sparse elements of finite fields. Bullletion of the London Mathematical Society, Bd. to appear, S. 1--20.
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.
Leobacher, G.; Pillichshammer, F.; Ebert, A. (online: 2023) Tractability of L2-approximation and integration in weighted Hermite spaces of finite smoothness. Journal of Complexity, Bd. n.a., S. 101768.
RIS
ENW
BIB
Krieg, D.; Siedlecki, P.; Ullrich, M.; Wozniakowski, H. (2023) Exponential tractability of L2-approximation with function values. Advances in Computational Mathematics, Bd. 49, S. Article Number 18.
RIS
ENW
BIB
Dolbeault, M.; Krieg, D.; Ullrich, M. (2023, online: 2022) A sharp upper bound for sampling numbers in L_2. Applied and Computational Harmonic Analysis, Bd. 63, S. 113-134.
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
A. Ebert, ; Pillichshammer, F. (2021) Tractability of approximation in the weighted Korobov space in the worst-case setting - a complete picture. Journal of Complexity, Bd. 67, S. 101571.
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
Wiart, Jaspar; Wong, Elaine (2021, online: 2020) Walsh functions, scrambled (0,m,s)-nets, and negative covariance: applying symbolic computation to quasi-Monte Carlo integration. Mathematics and Computers in Simulation, Bd. 182, S. 277-295.
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
Serdyuk, A.S.; Stepaniuk, T. (2020) Asymptotically best possible Lebesgue-type inequalities for the Fourier sums on sets of generalized Poisson integrals. Filomat, Bd. 34 (14), S. n.a.
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.
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.
Stepaniuk, T. (2020) Hyperuniform point sets on flat tori: deterministic and probabilistic aspects. Constructive Approximation, Bd. 52, S. 313-339.
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
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
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
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
Hefter, M.; Herzwurm, A.; Müller-Gronbach, Th. (2019, online: 2018) Lower error bounds for strong approximation of scalar SDEs with non-Lipschitzian coefficients. Annals of Applied Probability, Bd. 29, S. 178-216.
RIS
ENW
BIB
Dick, Josef; Irrgeher, Christian; Leobacher, Gunther; Pillichshammer, Friedrich (2018) On the optimal order of integration in Hermite spaces with finite smoothness. SIAM Journal on Numerical Analysis, Bd. 56 (2), S. 684-707.
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.
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.
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
Laimer, H. (2017, online: 2016) On combined component-by-component constructions of lattice point sets. Journal of Complexity, Bd. 38, S. 22-30.
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.
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
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
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
Serdyuk, A.S.; Stepaniuk, T. Uniform approximations by Fourier sums on classes of convolutions of periodic functions. Bulletin de la Societe des Sciences et des Lettres de Lodz. Serie, Recherches sur les Deformations, Bd. to appear, S. n.a.
RIS
ENW
BIB
Emenike, O.; Hickernell, F.J.; Kritzer, P. A unified treatment of tractability for approximation problems defined on Hilbert spaces. J. Complexity, Bd. to appear, S. to appear.
RIS
ENW
BIB