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Gnewuch, Michael

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Author ID: gnewuch.michael Recent zbMATH articles by "Gnewuch, Michael"
Published as: Gnewuch, M.; Gnewuch, Michael
Documents Indexed: 40 Publications since 2004

Publications by Year

Citations contained in zbMATH

33 Publications have been cited 229 times in 110 Documents Cited by Year
Quasi-polynomial tractability. Zbl 1237.65043
Gnewuch, Michael; Woźniakowski, Henryk
22
2011
Infinite-dimensional integration on weighted Hilbert spaces. Zbl 1284.65044
Gnewuch, Michael
17
2012
Optimal randomized multilevel algorithms for infinite-dimensional integration on function spaces with ANOVA-type decomposition. Zbl 1318.65002
Baldeaux, Jan; Gnewuch, Michael
16
2014
On weighted Hilbert spaces and integration of functions of infinitely many variables. Zbl 1286.65039
Gnewuch, Michael; Mayer, Sebastian; Ritter, Klaus
13
2014
Bracketing numbers for axis-parallel boxes and applications to geometric discrepancy. Zbl 1138.11031
Gnewuch, Michael
12
2008
Bounds and constructions for the star-discrepancy via \(\delta\)-covers. Zbl 1115.11046
Doerr, Benjamin; Gnewuch, Michael; Srivastav, Anand
12
2005
Optimal randomized changing dimension algorithms for infinite-dimensional integration on function spaces with ANOVA-type decomposition. Zbl 1296.41025
Dick, Josef; Gnewuch, Michael
11
2014
Lower error bounds for randomized multilevel and changing dimension algorithms. Zbl 1302.65006
Gnewuch, Michael
11
2013
Infinite-dimensional integration in weighted Hilbert spaces: anchored decompositions, optimal deterministic algorithms, and higher-order convergence. Zbl 1312.65002
Dick, Josef; Gnewuch, Michael
10
2014
Finding optimal volume subintervals with \( k\) points and calculating the star discrepancy are NP-hard problems. Zbl 1167.65015
Gnewuch, Michael; Srivastav, Anand; Winzen, Carola
10
2009
Generalized tractability for multivariate problems. I: Linear tensor product problems and linear information. Zbl 1118.65001
Gnewuch, Michael; Woźniakowski, Henryk
8
2007
Equivalence of weighted anchored and ANOVA spaces of functions with mixed smoothness of order one in \(L_p\). Zbl 1377.46020
Gnewuch, M.; Hefter, M.; Hinrichs, A.; Ritter, K.; Wasilkowski, G. W.
7
2017
Generalized tractability for linear functionals. Zbl 1141.65333
Gnewuch, Michael; Woźniakowski, Henryk
7
2008
Embeddings of weighted Hilbert spaces and applications to multivariate and infinite-dimensional integration. Zbl 1390.41037
Gnewuch, Michael; Hefter, Mario; Hinrichs, Aicke; Ritter, Klaus
6
2017
Calculation of discrepancy measures and applications. Zbl 1358.11087
Doerr, Carola; Gnewuch, Michael; Wahlström, Magnus
6
2014
Weighted geometric discrepancies and numerical integration on reproducing kernel Hilbert spaces. Zbl 1333.11073
Gnewuch, Michael
6
2012
Algorithmic construction of low-discrepancy point sets via dependent randomized rounding. Zbl 1204.65006
Doerr, Benjamin; Gnewuch, Michael; Wahlström, Magnus
6
2010
On probabilistic results for the discrepancy of a hybrid-Monte Carlo sequence. Zbl 1176.65004
Gnewuch, Michael
6
2009
Construction of low-discrepancy point sets of small size by bracketing covers and dependent randomized rounding. Zbl 1213.11150
Doerr, Benjamin; Gnewuch, Michael
6
2008
Component-by-component construction of low-discrepancy point sets of small size. Zbl 1156.11030
Doerr, Benjamin; Gnewuch, Michael; Kritzer, Peter; Pillichshammer, Friedrich
5
2008
A new randomized algorithm to approximate the star discrepancy based on threshold accepting. Zbl 1271.65003
Gnewuch, Michael; Wahlström, Magnus; Winzen, Carola
4
2012
Construction of minimal bracketing covers for rectangles. Zbl 1165.05317
Gnewuch, Michael
4
2008
Bounds for the average \(L^p\)-extreme and the \(L^\infty\)-extreme discrepancy. Zbl 1096.11029
Gnewuch, Michael
4
2005
Entropy, randomization, derandomization, and discrepancy. Zbl 1291.11105
Gnewuch, Michael
3
2012
Generalized tractability for multivariate problems. II: Linear tensor product problems, linear information, and unrestricted tractability. Zbl 1187.65013
Gnewuch, Michael; Woźniakowski, Henryk
3
2009
Spectral multipliers for sub-Laplacians on amenable Lie groups with exponential volume growth. Zbl 1057.43006
Gnewuch, Michael
3
2004
Embeddings for infinite-dimensional integration and \(L_2\)-approximation with increasing smoothness. Zbl 1432.46020
Gnewuch, M.; Hefter, M.; Hinrichs, A.; Ritter, K.; Wasilkowski, G. W.
2
2019
On \(G\)-discrepancy and mixed Monte Carlo and quasi-Monte Carlo sequences. Zbl 1199.65069
Gnewuch, Michael; Roşca, Alin V.
2
2009
Implementation of a component-by-component algorithm to generate small low-discrepancy samples. Zbl 1228.11121
Doerr, Benjamin; Gnewuch, Michael; Wahlström, Magnus
2
2009
Correction of a proof in “A probabilistic result on the discrepancy of a hybrid-Monte Carlo sequence and applications”. Zbl 1176.65005
Ökten, Giray; Gnewuch, Michael
2
2009
Cubature formulas for function spaces with moderate smoothness. Zbl 1130.65049
Gnewuch, Michael; Lindloh, René; Schneider, Reinhold; Srivastav, Anand
1
2007
Differentiable \(L^p\)-functional calculus for certain sums of non-commuting operators. Zbl 1103.47014
Gnewuch, Michael
1
2006
Discrepancy of products of hypergraphs. Zbl 1192.05106
Doerr, Benjamin; Gnewuch, Michael; Hebbinghaus, Nils
1
2005
Embeddings for infinite-dimensional integration and \(L_2\)-approximation with increasing smoothness. Zbl 1432.46020
Gnewuch, M.; Hefter, M.; Hinrichs, A.; Ritter, K.; Wasilkowski, G. W.
2
2019
Equivalence of weighted anchored and ANOVA spaces of functions with mixed smoothness of order one in \(L_p\). Zbl 1377.46020
Gnewuch, M.; Hefter, M.; Hinrichs, A.; Ritter, K.; Wasilkowski, G. W.
7
2017
Embeddings of weighted Hilbert spaces and applications to multivariate and infinite-dimensional integration. Zbl 1390.41037
Gnewuch, Michael; Hefter, Mario; Hinrichs, Aicke; Ritter, Klaus
6
2017
Optimal randomized multilevel algorithms for infinite-dimensional integration on function spaces with ANOVA-type decomposition. Zbl 1318.65002
Baldeaux, Jan; Gnewuch, Michael
16
2014
On weighted Hilbert spaces and integration of functions of infinitely many variables. Zbl 1286.65039
Gnewuch, Michael; Mayer, Sebastian; Ritter, Klaus
13
2014
Optimal randomized changing dimension algorithms for infinite-dimensional integration on function spaces with ANOVA-type decomposition. Zbl 1296.41025
Dick, Josef; Gnewuch, Michael
11
2014
Infinite-dimensional integration in weighted Hilbert spaces: anchored decompositions, optimal deterministic algorithms, and higher-order convergence. Zbl 1312.65002
Dick, Josef; Gnewuch, Michael
10
2014
Calculation of discrepancy measures and applications. Zbl 1358.11087
Doerr, Carola; Gnewuch, Michael; Wahlström, Magnus
6
2014
Lower error bounds for randomized multilevel and changing dimension algorithms. Zbl 1302.65006
Gnewuch, Michael
11
2013
Infinite-dimensional integration on weighted Hilbert spaces. Zbl 1284.65044
Gnewuch, Michael
17
2012
Weighted geometric discrepancies and numerical integration on reproducing kernel Hilbert spaces. Zbl 1333.11073
Gnewuch, Michael
6
2012
A new randomized algorithm to approximate the star discrepancy based on threshold accepting. Zbl 1271.65003
Gnewuch, Michael; Wahlström, Magnus; Winzen, Carola
4
2012
Entropy, randomization, derandomization, and discrepancy. Zbl 1291.11105
Gnewuch, Michael
3
2012
Quasi-polynomial tractability. Zbl 1237.65043
Gnewuch, Michael; Woźniakowski, Henryk
22
2011
Algorithmic construction of low-discrepancy point sets via dependent randomized rounding. Zbl 1204.65006
Doerr, Benjamin; Gnewuch, Michael; Wahlström, Magnus
6
2010
Finding optimal volume subintervals with \( k\) points and calculating the star discrepancy are NP-hard problems. Zbl 1167.65015
Gnewuch, Michael; Srivastav, Anand; Winzen, Carola
10
2009
On probabilistic results for the discrepancy of a hybrid-Monte Carlo sequence. Zbl 1176.65004
Gnewuch, Michael
6
2009
Generalized tractability for multivariate problems. II: Linear tensor product problems, linear information, and unrestricted tractability. Zbl 1187.65013
Gnewuch, Michael; Woźniakowski, Henryk
3
2009
On \(G\)-discrepancy and mixed Monte Carlo and quasi-Monte Carlo sequences. Zbl 1199.65069
Gnewuch, Michael; Roşca, Alin V.
2
2009
Implementation of a component-by-component algorithm to generate small low-discrepancy samples. Zbl 1228.11121
Doerr, Benjamin; Gnewuch, Michael; Wahlström, Magnus
2
2009
Correction of a proof in “A probabilistic result on the discrepancy of a hybrid-Monte Carlo sequence and applications”. Zbl 1176.65005
Ökten, Giray; Gnewuch, Michael
2
2009
Bracketing numbers for axis-parallel boxes and applications to geometric discrepancy. Zbl 1138.11031
Gnewuch, Michael
12
2008
Generalized tractability for linear functionals. Zbl 1141.65333
Gnewuch, Michael; Woźniakowski, Henryk
7
2008
Construction of low-discrepancy point sets of small size by bracketing covers and dependent randomized rounding. Zbl 1213.11150
Doerr, Benjamin; Gnewuch, Michael
6
2008
Component-by-component construction of low-discrepancy point sets of small size. Zbl 1156.11030
Doerr, Benjamin; Gnewuch, Michael; Kritzer, Peter; Pillichshammer, Friedrich
5
2008
Construction of minimal bracketing covers for rectangles. Zbl 1165.05317
Gnewuch, Michael
4
2008
Generalized tractability for multivariate problems. I: Linear tensor product problems and linear information. Zbl 1118.65001
Gnewuch, Michael; Woźniakowski, Henryk
8
2007
Cubature formulas for function spaces with moderate smoothness. Zbl 1130.65049
Gnewuch, Michael; Lindloh, René; Schneider, Reinhold; Srivastav, Anand
1
2007
Differentiable \(L^p\)-functional calculus for certain sums of non-commuting operators. Zbl 1103.47014
Gnewuch, Michael
1
2006
Bounds and constructions for the star-discrepancy via \(\delta\)-covers. Zbl 1115.11046
Doerr, Benjamin; Gnewuch, Michael; Srivastav, Anand
12
2005
Bounds for the average \(L^p\)-extreme and the \(L^\infty\)-extreme discrepancy. Zbl 1096.11029
Gnewuch, Michael
4
2005
Discrepancy of products of hypergraphs. Zbl 1192.05106
Doerr, Benjamin; Gnewuch, Michael; Hebbinghaus, Nils
1
2005
Spectral multipliers for sub-Laplacians on amenable Lie groups with exponential volume growth. Zbl 1057.43006
Gnewuch, Michael
3
2004
all top 5

Cited by 85 Authors

18 Gnewuch, Michael
18 Wasilkowski, Grzegorz W.
15 Woźniakowski, Henryk
13 Dick, Josef
13 Pillichshammer, Friedrich
9 Hinrichs, Aicke
9 Kritzer, Peter
7 Ritter, Klaus
5 Doerr, Benjamin
5 Hefter, Mario
5 Novak, Erich
5 Plaskota, Leszek
5 Siedlecki, Paweł
5 Sloan, Ian Hugh
5 Werschulz, Arthur G.
4 Kuo, Frances Y.
4 Xu, Guiqiao
3 Aistleitner, Christoph
3 Griebel, Michael
3 Steinerberger, Stefan
3 Wahlström, Magnus
2 Irrgeher, Christian
2 Ökten, Giray
2 Pausinger, Florian
2 Srivastav, Anand
2 Venturi, Daniele
2 Weimar, Markus
2 Zhu, Houying
1 Androulakis, Emmanouil
1 Baldeaux, Jan
1 Chen, Su
1 David-Guillou, Emilie
1 Dingess, J.
1 Dinh Dũng
1 Drosou, Krystallenia
1 Giannopoulos, Panos
1 Goda, Takashi
1 Göncü, Ahmet
1 Hellmuth, Marc
1 Hickernell, Fred J.
1 Hofer, Markus
1 Hofer, Roswitha
1 Hornfeck, Wolfgang
1 Khartov, A. A.
1 Knauer, Christian
1 Koukouvinos, Christos
1 Krieg, David
1 Kritzinger, Ralph
1 Kuhn, Philipp
1 Kühn, Thomas
1 Leobacher, Gunther
1 Li, Hongquan
1 Liu, Yongping
1 Martini, Alessio
1 Mayer, Sebastian A.
1 Müller-Gronbach, Thomas
1 Niederreiter, Harald
1 Niu, Ben
1 Nuyens, Dirk
1 Ostermeier, Lydia
1 Oswald, Peter
1 Ottazzi, Alessandro
1 Owen, Art B.
1 Passenbrunner, Markus
1 Rodgers, Abram
1 Rudolf, Daniel
1 Schmid, Wolfgang Ch.
1 Schwab, Christoph
1 Shah, Manan
1 Sickel, Winfried
1 Sinescu, Vasile
1 Stadler, Peter F.
1 Tezuka, Shu
1 Triebel, Hans
1 Ullrich, Tino
1 Vallarino, Maria
1 Vybíral, Jan
1 Wang, Heping
1 Werner, Daniel
1 Weyhausen, Heidi
1 Winzen, Carola
1 Wnuk, Marcin
1 Zhang, Jie
1 Zhao, Yaxi
1 Zhou, Yundong

Citations by Year