Peter Kritzer

Orcid: 0000-0002-7919-7672

According to our database1, Peter Kritzer authored at least 49 papers between 2006 and 2024.

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Bibliography

2024
The fast reduced QMC matrix-vector product.
J. Comput. Appl. Math., April, 2024

Selected aspects of tractability analysis.
CoRR, 2024

2023
A note on the CBC-DBD construction of lattice rules with general positive weights.
J. Complex., June, 2023

Homogeneous algorithms and solvable problems on cones.
CoRR, 2023

A unified treatment of tractability for approximation problems defined on Hilbert spaces.
CoRR, 2023

Computable error bounds for quasi-Monte Carlo using points with non-negative local discrepancy.
CoRR, 2023

2022
Construction of good polynomial lattice rules in weighted Walsh spaces by an alternative component-by-component construction.
Math. Comput. Simul., 2022

On a reduced digit-by-digit component-by-component construction of lattice point sets.
CoRR, 2022

Tractability of approximation in the weighted Korobov space in the worst-case setting.
CoRR, 2022

2021
On quasi-Monte Carlo methods in weighted ANOVA spaces.
Math. Comput., 2021

Digit-by-digit and component-by-component constructions of lattice rules for periodic functions with unknown smoothness.
J. Complex., 2021

2020
On efficient weighted integration via a change of variables.
Numerische Mathematik, 2020

Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals.
J. Complex., 2020

On alternative quantization for doubly weighted approximation and integration over unbounded domains.
J. Approx. Theory, 2020

Component-by-component digit-by-digit construction of good polynomial lattice rules in weighted Walsh spaces.
CoRR, 2020

2019
Truncation dimension for linear problems on multivariate function spaces.
Numer. Algorithms, 2019

Truncation in average and worst case settings for special classes of ∞-variate functions.
Math. Comput. Simul., 2019

Constructing lattice points for numerical integration by a reduced fast successive coordinate search algorithm.
J. Comput. Appl. Math., 2019

Simple characterizations of exponential tractability for linear multivariate problems.
J. Complex., 2019

Lattice rules with random n achieve nearly the optimal O(n-α-1∕2) error independently of the dimension.
J. Approx. Theory, 2019

2018
Integration and approximation in cosine spaces of smooth functions.
Math. Comput. Simul., 2018

Editorial.
Math. Comput. Simul., 2018

2017
L<sub>∞</sub>-Approximation in Korobov spaces with exponential weights.
J. Complex., 2017

A note on equivalence of anchored and ANOVA spaces; lower bounds.
J. Complex., 2017

2016
Very low truncation dimension for high dimensional integration under modest error demand.
J. Complex., 2016

Open type quasi-Monte Carlo integration based on Halton sequences in weighted Sobolev spaces.
J. Complex., 2016

On a projection-corrected component-by-component construction.
J. Complex., 2016

Tractability of multivariate approximation defined over Hilbert spaces with exponential weights.
J. Approx. Theory, 2016

Approximation in Hermite spaces of smooth functions.
J. Approx. Theory, 2016

Mixed orthogonal arrays, -nets, and -sequences.
Discret. Math., 2016

2015
Numerical integration in log-Korobov and log-cosine spaces.
Numer. Algorithms, 2015

A reduced fast component-by-component construction of lattice points for integration in weighted spaces with fast decreasing weights.
J. Comput. Appl. Math., 2015

Propagation rules for (u,m,e,s)-nets and (u,e,s)-sequences.
J. Complex., 2015

Integration in Hermite spaces of analytic functions.
J. Complex., 2015

2014
Multivariate integration of infinitely many times differentiable functions in weighted Korobov spaces.
Math. Comput., 2014

Approximation of analytic functions in Korobov spaces.
J. Complex., 2014

Tractability of Multivariate Integration in Hybrid Function Spaces.
Proceedings of the Monte Carlo and Quasi-Monte Carlo Methods, 2014

Tractability of multivariate analytic problems.
Proceedings of the Uniform Distribution and Quasi-Monte Carlo Methods, 2014

Discrepancy bounds for low-dimensional point sets.
Proceedings of the Applied Algebra and Number Theory, 2014

2012
Weighted compound integration rules with higher order convergence for all N.
Numer. Algorithms, 2012

A higher order Blokh-Zyablov propagation rule for higher order nets.
Finite Fields Their Appl., 2012

2010
Duality theory and propagation rules for generalized digital nets.
Math. Comput., 2010

2009
On the approximation of smooth functions using generalized digital nets.
J. Complex., 2009

2008
Component-by-component construction of low-discrepancy point sets of small size.
Monte Carlo Methods Appl., 2008

2007
On the existence of higher order polynomial lattices based on a generalized figure of merit.
J. Complex., 2007

Lattice-Nyström method for Fredholm integral equations of the second kind with convolution type kernels.
J. Complex., 2007

Constructions of general polynomial lattice rules based on the weighted star discrepancy.
Finite Fields Their Appl., 2007

2006
A best possible upper bound on the star discrepancy of (t, m, 2)-nets.
Monte Carlo Methods Appl., 2006

Improved upper bounds on the star discrepancy of (<i>t</i>, <i>m</i>, <i>s</i>)-nets and (<i>t</i>, <i>s</i>)-sequences.
J. Complex., 2006


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