Peter Kritzer

Publication Activity (10 Years)

Years Active: 2006-2024
Publications (10 Years): 41

Top Topics

Monte Carlo Methods

Smooth Functions

Top Venues

J. Approx. Theory

Math. Comput. Simul.

Publications

Onyekachi Emenike, Fred J. Hickernell, Peter Kritzer
A unified treatment of tractability for approximation problems defined on Hilbert spaces. J. Complex. 84 (2024)
Peter Kritzer
Selected aspects of tractability analysis. CoRR (2024)
David Krieg, Peter Kritzer
Homogeneous algorithms and solvable problems on cones. J. Complex. 83 (2024)
Josef Dick, Adrian Ebert, Lukas Herrmann, Peter Kritzer, Marcello Longo
The fast reduced QMC matrix-vector product. J. Comput. Appl. Math. 440 (2024)
Peter Kritzer
Selected aspects of tractability analysis. J. Complex. 84 (2024)
Vishnupriya Anupindi, Peter Kritzer
Column reduced digital nets. CoRR (2024)
Onyekachi Emenike, Fred J. Hickernell, Peter Kritzer
A unified treatment of tractability for approximation problems defined on Hilbert spaces. CoRR (2023)
David Krieg, Peter Kritzer
Homogeneous algorithms and solvable problems on cones. CoRR (2023)
Peter Kritzer
A note on the CBC-DBD construction of lattice rules with general positive weights. J. Complex. 76 (2023)
Josef Dick, Adrian Ebert, Lukas Herrmann, Peter Kritzer, Marcello Longo
The fast reduced QMC matrix-vector product. CoRR (2023)
Michael Gnewuch, Peter Kritzer, Art B. Owen, Zexin Pan
Computable error bounds for quasi-Monte Carlo using points with non-negative local discrepancy. CoRR (2023)
Adrian Ebert, Peter Kritzer, Friedrich Pillichshammer
Tractability of approximation in the weighted Korobov space in the worst-case setting. CoRR (2022)
Adrian Ebert, Peter Kritzer, Onyekachi Osisiogu, Tetiana Stepaniuk
Construction of good polynomial lattice rules in weighted Walsh spaces by an alternative component-by-component construction. Math. Comput. Simul. 192 (2022)
Peter Kritzer, Onyekachi Osisiogu
On a reduced digit-by-digit component-by-component construction of lattice point sets. CoRR (2022)
Peter Kritzer
A note on the CBC-DBD construction of lattice rules with general positive weights. CoRR (2022)
Adrian Ebert, Peter Kritzer, Onyekachi Osisiogu, Tetiana Stepaniuk
Construction of good polynomial lattice rules in weighted Walsh spaces by an alternative component-by-component construction. CoRR (2021)
Peter Kritzer, Friedrich Pillichshammer, Grzegorz W. Wasilkowski
On quasi-Monte Carlo methods in weighted ANOVA spaces. Math. Comput. 90 (329) (2021)
Adrian Ebert, Peter Kritzer, Dirk Nuyens, Onyekachi Osisiogu
Digit-by-digit and component-by-component constructions of lattice rules for periodic functions with unknown smoothness. J. Complex. 66 (2021)
Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski
Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals. J. Complex. 61 (2020)
Adrian Ebert, Peter Kritzer, Onyekachi Osisiogu, Tetiana Stepaniuk
Component-by-component digit-by-digit construction of good polynomial lattice rules in weighted Walsh spaces. CoRR (2020)
Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski
Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals. CoRR (2020)
Peter Kritzer, Friedrich Pillichshammer, Leszek Plaskota, Grzegorz W. Wasilkowski
On efficient weighted integration via a change of variables. Numerische Mathematik 146 (3) (2020)
Peter Kritzer, Friedrich Pillichshammer, Leszek Plaskota, Grzegorz W. Wasilkowski
On alternative quantization for doubly weighted approximation and integration over unbounded domains. J. Approx. Theory 256 (2020)
Peter Kritzer, Friedrich Pillichshammer, Greg W. Wasilkowski
On Quasi-Monte Carlo Methods in Weighted ANOVA Spaces. CoRR (2020)
Adrian Ebert, Peter Kritzer, Dirk Nuyens, Onyekachi Osisiogu
Digit-by-digit and component-by-component constructions of lattice rules for periodic functions with unknown smoothness. CoRR (2020)
Aicke Hinrichs, Peter Kritzer, Friedrich Pillichshammer, Grzegorz W. Wasilkowski
Truncation dimension for linear problems on multivariate function spaces. Numer. Algorithms 80 (2) (2019)
Adrian Ebert, Peter Kritzer
Constructing lattice points for numerical integration by a reduced fast successive coordinate search algorithm. J. Comput. Appl. Math. 351 (2019)
Peter Kritzer, Frances Y. Kuo, Dirk Nuyens, Mario Ullrich
Lattice rules with random n achieve nearly the optimal O(n-α-1∕2) error independently of the dimension. J. Approx. Theory 240 (2019)
Peter Kritzer, Friedrich Pillichshammer, Grzegorz W. Wasilkowski
Truncation in average and worst case settings for special classes of ∞-variate functions. Math. Comput. Simul. 161 (2019)
Peter Kritzer, Henryk Wozniakowski
Simple characterizations of exponential tractability for linear multivariate problems. J. Complex. 51 (2019)
Peter Kritzer, Friedrich Pillichshammer, Leszek Plaskota, Grzegorz W. Wasilkowski
On alternative quantization for doubly weighted approximation and integration over unbounded domains. CoRR (2019)
Evelyn Buckwar, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer, Arne Winterhof
Editorial. Math. Comput. Simul. 143 (2018)
Christian Irrgeher, Peter Kritzer, Friedrich Pillichshammer
Integration and approximation in cosine spaces of smooth functions. Math. Comput. Simul. 143 (2018)
Peter Kritzer, Friedrich Pillichshammer, Grzegorz W. Wasilkowski
A note on equivalence of anchored and ANOVA spaces; lower bounds. J. Complex. 38 (2017)
Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski
-Approximation in Korobov spaces with exponential weights. J. Complex. 41 (2017)
Peter Kritzer, Harald Niederreiter
Mixed orthogonal arrays, -nets, and -sequences. Discret. Math. 339 (9) (2016)
Peter Hellekalek, Peter Kritzer, Friedrich Pillichshammer
Open type quasi-Monte Carlo integration based on Halton sequences in weighted Sobolev spaces. J. Complex. 33 (2016)
Christian Irrgeher, Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski
Approximation in Hermite spaces of smooth functions. J. Approx. Theory 207 (2016)
Peter Kritzer, Friedrich Pillichshammer, Grzegorz W. Wasilkowski
Very low truncation dimension for high dimensional integration under modest error demand. J. Complex. 35 (2016)
Josef Dick, Peter Kritzer
On a projection-corrected component-by-component construction. J. Complex. 32 (1) (2016)
Christian Irrgeher, Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski
Tractability of multivariate approximation defined over Hilbert spaces with exponential weights. J. Approx. Theory 207 (2016)
Christian Irrgeher, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer
Integration in Hermite spaces of analytic functions. J. Complex. 31 (3) (2015)
Josef Dick, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer
A reduced fast component-by-component construction of lattice points for integration in weighted spaces with fast decreasing weights. J. Comput. Appl. Math. 276 (2015)
Josef Dick, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer
Numerical integration in log-Korobov and log-cosine spaces. Numer. Algorithms 70 (4) (2015)
Peter Kritzer, Harald Niederreiter
Propagation rules for (u,m,e,s)-nets and (u,e,s)-sequences. J. Complex. 31 (3) (2015)
Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski
Multivariate integration of infinitely many times differentiable functions in weighted Korobov spaces. Math. Comput. 83 (287) (2014)
Peter Kritzer, Friedrich Pillichshammer
Tractability of Multivariate Integration in Hybrid Function Spaces. MCQMC (2014)
Josef Dick, Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski
Approximation of analytic functions in Korobov spaces. J. Complex. 30 (2) (2014)
Fred J. Hickernell, Peter Kritzer, Frances Y. Kuo, Dirk Nuyens
Weighted compound integration rules with higher order convergence for all N. Numer. Algorithms 59 (2) (2012)
Josef Dick, Peter Kritzer
A higher order Blokh-Zyablov propagation rule for higher order nets. Finite Fields Their Appl. 18 (6) (2012)
Josef Dick, Peter Kritzer
Duality theory and propagation rules for generalized digital nets. Math. Comput. 79 (270) (2010)
Jan Baldeaux, Josef Dick, Peter Kritzer
On the approximation of smooth functions using generalized digital nets. J. Complex. 25 (6) (2009)
Benjamin Doerr, Michael Gnewuch, Peter Kritzer, Friedrich Pillichshammer
Component-by-component construction of low-discrepancy point sets of small size. Monte Carlo Methods Appl. 14 (2) (2008)
Josef Dick, Peter Kritzer, Frances Y. Kuo, Ian H. Sloan
Lattice-Nyström method for Fredholm integral equations of the second kind with convolution type kernels. J. Complex. 23 (4-6) (2007)
Josef Dick, Peter Kritzer, Friedrich Pillichshammer, Wolfgang Ch. Schmid
On the existence of higher order polynomial lattices based on a generalized figure of merit. J. Complex. 23 (4-6) (2007)
Josef Dick, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer
Constructions of general polynomial lattice rules based on the weighted star discrepancy. Finite Fields Their Appl. 13 (4) (2007)
Josef Dick, Peter Kritzer
A best possible upper bound on the star discrepancy of (t, m, 2)-nets. Monte Carlo Methods Appl. 12 (1) (2006)
Peter Kritzer
)-sequences. J. Complex. 22 (3) (2006)