Edit Profile Gnewuch, Michael Compute Distance To: Compute Author ID: gnewuch.michael Published as: Gnewuch, M.; Gnewuch, Michael Documents Indexed: 40 Publications since 2004 all top 5 Co-Authors 10 single-authored 8 Doerr, Benjamin 6 Woźniakowski, Henryk 5 Ritter, Klaus 4 Wahlström, Magnus 3 Hebbinghaus, Nils 3 Hefter, Mario 3 Hinrichs, Aicke 3 Srivastav, Anand 2 Dick, Josef 2 Doerr, Carola 2 Kuo, Frances Y. 2 Niederreiter, Harald 2 Wasilkowski, Grzegorz W. 2 Winzen, Carola 2 Wnuk, Marcin 1 Baldeaux, Jan 1 Herzwurm, André 1 Huthmacher, Klaus 1 Kritzer, Peter 1 Lindloh, René 1 Mayer, Sebastian A. 1 Ökten, Giray 1 Pillichshammer, Friedrich 1 Rethfeld, Bärbel 1 Roşca, Alin V. 1 Schneider, Reinhold all top 5 Serials 13 Journal of Complexity 3 Journal of Approximation Theory 3 The Electronic Journal of Combinatorics 2 SIAM Journal on Numerical Analysis 2 Monte Carlo Methods and Applications 2 Foundations of Computational Mathematics 1 Physica A 1 Mathematics of Computation 1 Colloquium Mathematicum 1 Mathematische Zeitschrift 1 Acta Universitatis Apulensis. Mathematics - Informatics 1 Oberwolfach Reports all top 5 Fields 27 Numerical analysis (65-XX) 19 Number theory (11-XX) 11 Approximations and expansions (41-XX) 8 Functional analysis (46-XX) 7 Computer science (68-XX) 4 Combinatorics (05-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Abstract harmonic analysis (43-XX) 2 Probability theory and stochastic processes (60-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 33 Publications have been cited 229 times in 110 Documents Cited by ▼ Year ▼ Quasi-polynomial tractability. Zbl 1237.65043Gnewuch, Michael; Woźniakowski, Henryk 22 2011 Infinite-dimensional integration on weighted Hilbert spaces. Zbl 1284.65044Gnewuch, Michael 17 2012 Optimal randomized multilevel algorithms for infinite-dimensional integration on function spaces with ANOVA-type decomposition. Zbl 1318.65002Baldeaux, Jan; Gnewuch, Michael 16 2014 On weighted Hilbert spaces and integration of functions of infinitely many variables. Zbl 1286.65039Gnewuch, Michael; Mayer, Sebastian; Ritter, Klaus 13 2014 Bracketing numbers for axis-parallel boxes and applications to geometric discrepancy. Zbl 1138.11031Gnewuch, Michael 12 2008 Bounds and constructions for the star-discrepancy via \(\delta\)-covers. Zbl 1115.11046Doerr, Benjamin; Gnewuch, Michael; Srivastav, Anand 12 2005 Optimal randomized changing dimension algorithms for infinite-dimensional integration on function spaces with ANOVA-type decomposition. Zbl 1296.41025Dick, Josef; Gnewuch, Michael 11 2014 Lower error bounds for randomized multilevel and changing dimension algorithms. Zbl 1302.65006Gnewuch, Michael 11 2013 Infinite-dimensional integration in weighted Hilbert spaces: anchored decompositions, optimal deterministic algorithms, and higher-order convergence. Zbl 1312.65002Dick, Josef; Gnewuch, Michael 10 2014 Finding optimal volume subintervals with \( k\) points and calculating the star discrepancy are NP-hard problems. Zbl 1167.65015Gnewuch, Michael; Srivastav, Anand; Winzen, Carola 10 2009 Generalized tractability for multivariate problems. I: Linear tensor product problems and linear information. Zbl 1118.65001Gnewuch, Michael; Woźniakowski, Henryk 8 2007 Equivalence of weighted anchored and ANOVA spaces of functions with mixed smoothness of order one in \(L_p\). Zbl 1377.46020Gnewuch, M.; Hefter, M.; Hinrichs, A.; Ritter, K.; Wasilkowski, G. W. 7 2017 Generalized tractability for linear functionals. Zbl 1141.65333Gnewuch, Michael; Woźniakowski, Henryk 7 2008 Embeddings of weighted Hilbert spaces and applications to multivariate and infinite-dimensional integration. Zbl 1390.41037Gnewuch, Michael; Hefter, Mario; Hinrichs, Aicke; Ritter, Klaus 6 2017 Calculation of discrepancy measures and applications. Zbl 1358.11087Doerr, Carola; Gnewuch, Michael; Wahlström, Magnus 6 2014 Weighted geometric discrepancies and numerical integration on reproducing kernel Hilbert spaces. Zbl 1333.11073Gnewuch, Michael 6 2012 Algorithmic construction of low-discrepancy point sets via dependent randomized rounding. Zbl 1204.65006Doerr, Benjamin; Gnewuch, Michael; Wahlström, Magnus 6 2010 On probabilistic results for the discrepancy of a hybrid-Monte Carlo sequence. Zbl 1176.65004Gnewuch, Michael 6 2009 Construction of low-discrepancy point sets of small size by bracketing covers and dependent randomized rounding. Zbl 1213.11150Doerr, Benjamin; Gnewuch, Michael 6 2008 Component-by-component construction of low-discrepancy point sets of small size. Zbl 1156.11030Doerr, Benjamin; Gnewuch, Michael; Kritzer, Peter; Pillichshammer, Friedrich 5 2008 A new randomized algorithm to approximate the star discrepancy based on threshold accepting. Zbl 1271.65003Gnewuch, Michael; Wahlström, Magnus; Winzen, Carola 4 2012 Construction of minimal bracketing covers for rectangles. Zbl 1165.05317Gnewuch, Michael 4 2008 Bounds for the average \(L^p\)-extreme and the \(L^\infty\)-extreme discrepancy. Zbl 1096.11029Gnewuch, Michael 4 2005 Entropy, randomization, derandomization, and discrepancy. Zbl 1291.11105Gnewuch, Michael 3 2012 Generalized tractability for multivariate problems. II: Linear tensor product problems, linear information, and unrestricted tractability. Zbl 1187.65013Gnewuch, Michael; Woźniakowski, Henryk 3 2009 Spectral multipliers for sub-Laplacians on amenable Lie groups with exponential volume growth. Zbl 1057.43006Gnewuch, Michael 3 2004 Embeddings for infinite-dimensional integration and \(L_2\)-approximation with increasing smoothness. Zbl 1432.46020Gnewuch, 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 1199.65069Gnewuch, Michael; Roşca, Alin V. 2 2009 Implementation of a component-by-component algorithm to generate small low-discrepancy samples. Zbl 1228.11121Doerr, 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 1176.65005Ökten, Giray; Gnewuch, Michael 2 2009 Cubature formulas for function spaces with moderate smoothness. Zbl 1130.65049Gnewuch, Michael; Lindloh, René; Schneider, Reinhold; Srivastav, Anand 1 2007 Differentiable \(L^p\)-functional calculus for certain sums of non-commuting operators. Zbl 1103.47014Gnewuch, Michael 1 2006 Discrepancy of products of hypergraphs. Zbl 1192.05106Doerr, Benjamin; Gnewuch, Michael; Hebbinghaus, Nils 1 2005 Embeddings for infinite-dimensional integration and \(L_2\)-approximation with increasing smoothness. Zbl 1432.46020Gnewuch, 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 1377.46020Gnewuch, 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 1390.41037Gnewuch, 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 1318.65002Baldeaux, Jan; Gnewuch, Michael 16 2014 On weighted Hilbert spaces and integration of functions of infinitely many variables. Zbl 1286.65039Gnewuch, Michael; Mayer, Sebastian; Ritter, Klaus 13 2014 Optimal randomized changing dimension algorithms for infinite-dimensional integration on function spaces with ANOVA-type decomposition. Zbl 1296.41025Dick, Josef; Gnewuch, Michael 11 2014 Infinite-dimensional integration in weighted Hilbert spaces: anchored decompositions, optimal deterministic algorithms, and higher-order convergence. Zbl 1312.65002Dick, Josef; Gnewuch, Michael 10 2014 Calculation of discrepancy measures and applications. Zbl 1358.11087Doerr, Carola; Gnewuch, Michael; Wahlström, Magnus 6 2014 Lower error bounds for randomized multilevel and changing dimension algorithms. Zbl 1302.65006Gnewuch, Michael 11 2013 Infinite-dimensional integration on weighted Hilbert spaces. Zbl 1284.65044Gnewuch, Michael 17 2012 Weighted geometric discrepancies and numerical integration on reproducing kernel Hilbert spaces. Zbl 1333.11073Gnewuch, Michael 6 2012 A new randomized algorithm to approximate the star discrepancy based on threshold accepting. Zbl 1271.65003Gnewuch, Michael; Wahlström, Magnus; Winzen, Carola 4 2012 Entropy, randomization, derandomization, and discrepancy. Zbl 1291.11105Gnewuch, Michael 3 2012 Quasi-polynomial tractability. Zbl 1237.65043Gnewuch, Michael; Woźniakowski, Henryk 22 2011 Algorithmic construction of low-discrepancy point sets via dependent randomized rounding. Zbl 1204.65006Doerr, Benjamin; Gnewuch, Michael; Wahlström, Magnus 6 2010 Finding optimal volume subintervals with \( k\) points and calculating the star discrepancy are NP-hard problems. Zbl 1167.65015Gnewuch, Michael; Srivastav, Anand; Winzen, Carola 10 2009 On probabilistic results for the discrepancy of a hybrid-Monte Carlo sequence. Zbl 1176.65004Gnewuch, Michael 6 2009 Generalized tractability for multivariate problems. II: Linear tensor product problems, linear information, and unrestricted tractability. Zbl 1187.65013Gnewuch, Michael; Woźniakowski, Henryk 3 2009 On \(G\)-discrepancy and mixed Monte Carlo and quasi-Monte Carlo sequences. Zbl 1199.65069Gnewuch, Michael; Roşca, Alin V. 2 2009 Implementation of a component-by-component algorithm to generate small low-discrepancy samples. Zbl 1228.11121Doerr, 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 1176.65005Ökten, Giray; Gnewuch, Michael 2 2009 Bracketing numbers for axis-parallel boxes and applications to geometric discrepancy. Zbl 1138.11031Gnewuch, Michael 12 2008 Generalized tractability for linear functionals. Zbl 1141.65333Gnewuch, Michael; Woźniakowski, Henryk 7 2008 Construction of low-discrepancy point sets of small size by bracketing covers and dependent randomized rounding. Zbl 1213.11150Doerr, Benjamin; Gnewuch, Michael 6 2008 Component-by-component construction of low-discrepancy point sets of small size. Zbl 1156.11030Doerr, Benjamin; Gnewuch, Michael; Kritzer, Peter; Pillichshammer, Friedrich 5 2008 Construction of minimal bracketing covers for rectangles. Zbl 1165.05317Gnewuch, Michael 4 2008 Generalized tractability for multivariate problems. I: Linear tensor product problems and linear information. Zbl 1118.65001Gnewuch, Michael; Woźniakowski, Henryk 8 2007 Cubature formulas for function spaces with moderate smoothness. Zbl 1130.65049Gnewuch, Michael; Lindloh, René; Schneider, Reinhold; Srivastav, Anand 1 2007 Differentiable \(L^p\)-functional calculus for certain sums of non-commuting operators. Zbl 1103.47014Gnewuch, Michael 1 2006 Bounds and constructions for the star-discrepancy via \(\delta\)-covers. Zbl 1115.11046Doerr, Benjamin; Gnewuch, Michael; Srivastav, Anand 12 2005 Bounds for the average \(L^p\)-extreme and the \(L^\infty\)-extreme discrepancy. Zbl 1096.11029Gnewuch, Michael 4 2005 Discrepancy of products of hypergraphs. Zbl 1192.05106Doerr, Benjamin; Gnewuch, Michael; Hebbinghaus, Nils 1 2005 Spectral multipliers for sub-Laplacians on amenable Lie groups with exponential volume growth. Zbl 1057.43006Gnewuch, Michael 3 2004 all cited Publications top 5 cited Publications 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 all top 5 Cited in 31 Serials 50 Journal of Complexity 8 Journal of Approximation Theory 5 Foundations of Computational Mathematics 4 Mathematics of Computation 3 Journal of Computational and Applied Mathematics 3 Constructive Approximation 3 Monte Carlo Methods and Applications 2 Monatshefte für Mathematik 2 Numerische Mathematik 2 Numerical Algorithms 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Physics Letters. A 1 Physics Reports 1 The Annals of Statistics 1 Archiv der Mathematik 1 Dissertationes Mathematicae 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Journal of Integral Equations and Applications 1 Communications in Statistics. Theory and Methods 1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică 1 ACM Journal of Experimental Algorithmics 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Mathematics in Computer Science 1 Journal of Fixed Point Theory and Applications 1 Electronic Journal of Statistics 1 Acta Crystallographica. Section A all top 5 Cited in 24 Fields 79 Numerical analysis (65-XX) 45 Approximations and expansions (41-XX) 27 Number theory (11-XX) 22 Functional analysis (46-XX) 17 Computer science (68-XX) 9 Probability theory and stochastic processes (60-XX) 7 Partial differential equations (35-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operator theory (47-XX) 3 Statistics (62-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Abstract harmonic analysis (43-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year