Author

Peter Kritzer

Observed names: Kritzer, Peter, P. Kritzer, PETER KRITZER, Peter Kritzer B

Institutions: Austrian Academy of Sciences, Johann Radon Institute for Computational and Applied Mathematics

Observed institutions: Johannes Kepler University of Linz, Austrian Academy of Sciences, University of Salzburg, UNSW Sydney, Johann Radon Institute for Computational and Applied Mathematics

ORCID: 0000-0002-7919-7672

Observed ORCID: 0000-0002-7919-7672

OpenAlex ID: A5038787781

Lattice Rules

2022 · Josef Dick, Peter Kritzer, et al. · Springer series in computational mathematics · 51

From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules

2015 · Henri Faure, Peter Kritzer, et al. · Indagationes Mathematicae · 50

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Approximation of analytic functions in Korobov spaces

2013 · Josef Dick, Peter Kritzer, et al. · Journal of Complexity · 50

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Integration in Hermite spaces of analytic functions

2014 · Christian Irrgeher, Peter Kritzer, et al. · Journal of Complexity · 47

Multivariate integration of infinitely many times differentiable functions in weighted Korobov spaces

2013 · Peter Kritzer, Friedrich Pillichshammer, et al. · Mathematics of Computation · 44

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Tractability of multivariate approximation defined over Hilbert spaces with exponential weights

2016 · Christian Irrgeher, Peter Kritzer, et al. · Journal of Approximation Theory · 41

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Distribution Properties of Generalized Van Der Corput–halton Sequences and Their Subsequences

2009 · ROSWITHA HOFER, PETER KRITZER, et al. · International Journal of Number Theory · 40

Approximation in Hermite spaces of smooth functions

2016 · Christian Irrgeher, Peter Kritzer, et al. · Journal of Approximation Theory · 29

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Improved upper bounds on the star discrepancy of (t,m,s) -nets and (t,s) -sequences

2005 · Peter Kritzer · Journal of Complexity · 29

Component-by-component construction of low-discrepancy point sets of small size

2008 · Benjamin Doerr, Michael Gnewuch, et al. · Monte Carlo Methods and Applications · 26

Lattice-Nyström method for Fredholm integral equations of the second kind with convolution type kernels

2007 · Josef Dick, Peter Kritzer, et al. · Journal of Complexity · 26

Spline Methods Using Integration Lattices and Digital Nets

2009 · Xiaoyan Zeng, Peter Kritzer, et al. · Constructive Approximation · 23

Lattice rules with random n achieve nearly the optimal O(n−α−1∕2) error independently of the dimension

2018 · Peter Kritzer, Frances Y. Kuo, et al. · Journal of Approximation Theory · 22

Tractability of multivariate analytic problems

2014 · Peter Kritzer, Friedrich Pillichshammer, et al. · De Gruyter eBooks · 22

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On Hybrid Sequences Built From Niederreiter–halton Sequences and Kronecker Sequences

2011 · ROSWITHA HOFER, PETER KRITZER · Bulletin of the Australian Mathematical Society · 21

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Simple characterizations of exponential tractability for linear multivariate problems

2018 · Peter Kritzer, Henryk Woźniakowski · Journal of Complexity · 19

A reduced fast component-by-component construction of lattice points for integration in weighted spaces with fast decreasing weights

2014 · Josef Dick, Peter Kritzer, et al. · Journal of Computational and Applied Mathematics · 19

New star discrepancy bounds for $$(t,m,s)$$ -nets and $$(t,s)$$ -sequences

2013 · Henri Faure, Peter Kritzer · Monatshefte für Mathematik · 18

Weighted compound integration rules with higher order convergence for all N

2011 · Fred J. Hickernell, Peter Kritzer, et al. · Numerical Algorithms · 18

Very low truncation dimension for high dimensional integration under modest error demand

2016 · Peter Kritzer, Friedrich Pillichshammer, et al. · Journal of Complexity · 16

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Duality theory and propagation rules for generalized digital nets

2009 · Josef Dick, Peter Kritzer · Mathematics of Computation · 16

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Digit-by-digit and component-by-component constructions of lattice rules for periodic functions with unknown smoothness

2021 · Adrian Ebert, Peter Kritzer, et al. · Journal of Complexity · 14

Constructions of general polynomial lattices for multivariate integration

2007 · Peter Kritzer, Friedrich Pillichshammer · Bulletin of the Australian Mathematical Society · 14

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On the existence of higher order polynomial lattices based on a generalized figure of merit

2007 · Josef Dick, Peter Kritzer, et al. · Journal of Complexity · 14

A thorough analysis of the discrepancy of shifted Hammersley and van der Corput point sets

2006 · Peter Kritzer, Gerhard Larcher, et al. · Annali di Matematica Pura ed Applicata (1923 -) · 14

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Works count: 122

Citation count: 949

H-index: 18

I10-index: 30