Edit Profile (opens in new tab) Binev, Peter G. Co-Author Distance Author ID: binev.peter-g Published as: Binev, Peter; Binev, Peter G.; Binev, P.; Binev, P. G.; Binev, Petǎr G. more...less Homepage: http://people.math.sc.edu/binev/ Documents Indexed: 25 Publications since 1984, including 2 Additional arXiv Preprints Co-Authors: 16 Co-Authors with 19 Joint Publications 675 Co-Co-Authors all top 5 Co-Authors 6 single-authored 11 DeVore, Ronald A. 10 Dahmen, Wolfgang A. 8 Cohen, Albert 4 Petrova, Guergana 2 Bonito, Andrea 2 Jetter, Kurt 2 Petrushev, Pencho P. 2 Wojtaszczyk, Przemyslaw 1 Doberstein, Christian 1 Fierro, Francesca 1 Ivanov, Kamen G. 1 Lamby, Philipp 1 Mula, Olga 1 Saff, Edward Barry 1 Temlyakov, Vladimir Nikolaevich 1 Veeser, Andreas all top 5 Serials 3 Constructive Approximation 2 Numerische Mathematik 2 Doklady Bolgarskoĭ Akademii Nauk 2 Serdica 2 SIAM/ASA Journal on Uncertainty Quantification 1 The Annals of Statistics 1 Calcolo 1 Journal of Computational and Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Serdica Mathematical Journal 1 Journal of Machine Learning Research (JMLR) all top 5 Fields 13 Approximations and expansions (41-XX) 11 Numerical analysis (65-XX) 8 Computer science (68-XX) 7 Statistics (62-XX) 2 Partial differential equations (35-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 15 Publications have been cited 604 times in 503 Documents Cited by ▼ Year ▼ Adaptive finite element methods with convergence rates. Zbl 1063.65120 Binev, Peter; Dahmen, Wolfgang; DeVore, Ronald 256 2004 Convergence rates for greedy algorithms in reduced basis methods. Zbl 1229.65193 Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 152 2011 Fast computation in adaptive tree approximation. Zbl 1075.65158 Binev, Peter; DeVore, Ronald 45 2004 Data assimilation in reduced modeling. Zbl 06736493 Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 34 2017 Universal algorithms for learning theory. I: Piecewise constant functions. Zbl 1191.62068 Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald A.; Temlyakov, Vladimir N. 29 2005 Approximation classes for adaptive methods. Zbl 1039.42030 Binev, P.; Dahmen, W.; DeVore, R.; Petrushev, P. 27 2002 Greedy algorithms for optimal measurements selection in state estimation using reduced models. Zbl 1407.65256 Binev, Peter; Cohen, Albert; Mula, Olga; Nichols, James 16 2018 Universal algorithms for learning theory. II: Piecewise polynomial functions. Zbl 1191.62067 Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald 14 2007 Tree approximation for hp-adaptivity. Zbl 1403.41008 Binev, Peter 13 2018 Fast high-dimensional approximation with sparse occupancy trees. Zbl 1209.65018 Binev, Peter; Dahmen, Wolfgang; Lamby, Philipp 7 2011 Classification algorithms using adaptive partitioning. Zbl 1310.62074 Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; Devore, Ronald 5 2014 O(n)-bound for Whitney constants. Zbl 0615.41010 Binev, P. G. 2 1985 Cardinal interpolation with shifted three-dimensional box splines. Zbl 0764.41005 Binev, Peter; Jetter, Kurt 2 1992 Distribution of interpolation points of best \(L_ 2\)-approximants (\(n\)th partial sums of Fourier series). Zbl 0780.41003 Binev, P.; Petrushev, P.; Saff, E. B.; Trifonov, O. 1 1993 On a representation of mixed finite differences. Zbl 0588.39003 Binev, Peter G.; Ivanov, Kamen G. 1 1985 Greedy algorithms for optimal measurements selection in state estimation using reduced models. Zbl 1407.65256 Binev, Peter; Cohen, Albert; Mula, Olga; Nichols, James 16 2018 Tree approximation for hp-adaptivity. Zbl 1403.41008 Binev, Peter 13 2018 Data assimilation in reduced modeling. Zbl 06736493 Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 34 2017 Classification algorithms using adaptive partitioning. Zbl 1310.62074 Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; Devore, Ronald 5 2014 Convergence rates for greedy algorithms in reduced basis methods. Zbl 1229.65193 Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 152 2011 Fast high-dimensional approximation with sparse occupancy trees. Zbl 1209.65018 Binev, Peter; Dahmen, Wolfgang; Lamby, Philipp 7 2011 Universal algorithms for learning theory. II: Piecewise polynomial functions. Zbl 1191.62067 Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald 14 2007 Universal algorithms for learning theory. I: Piecewise constant functions. Zbl 1191.62068 Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald A.; Temlyakov, Vladimir N. 29 2005 Adaptive finite element methods with convergence rates. Zbl 1063.65120 Binev, Peter; Dahmen, Wolfgang; DeVore, Ronald 256 2004 Fast computation in adaptive tree approximation. Zbl 1075.65158 Binev, Peter; DeVore, Ronald 45 2004 Approximation classes for adaptive methods. Zbl 1039.42030 Binev, P.; Dahmen, W.; DeVore, R.; Petrushev, P. 27 2002 Distribution of interpolation points of best \(L_ 2\)-approximants (\(n\)th partial sums of Fourier series). Zbl 0780.41003 Binev, P.; Petrushev, P.; Saff, E. B.; Trifonov, O. 1 1993 Cardinal interpolation with shifted three-dimensional box splines. Zbl 0764.41005 Binev, Peter; Jetter, Kurt 2 1992 O(n)-bound for Whitney constants. Zbl 0615.41010 Binev, P. G. 2 1985 On a representation of mixed finite differences. Zbl 0588.39003 Binev, Peter G.; Ivanov, Kamen G. 1 1985 all cited Publications top 5 cited Publications all top 5 Cited by 692 Authors 33 Praetorius, Dirk 30 Carstensen, Carsten 17 Cohen, Albert 16 Stevenson, Rob P. 15 Dahmen, Wolfgang A. 15 Nochetto, Ricardo Horacio 13 DeVore, Ronald A. 12 Verani, Marco 11 Canuto, Claudio 11 Chen, Peng 11 Chen, Yanlai 10 Maday, Yvon 9 Becker, Roland 9 Feischl, Michael 9 Maggioni, Mauro 9 Mula, Olga 9 Rozza, Gianluigi 9 Schwab, Christoph 8 Hesthaven, Jan S. 8 Hoppe, Ronald H. W. 7 Abdulle, Assyr 7 Gallistl, Dietmar 7 Gantner, Gregor 7 Innerberger, Michael 7 Narayan, Akil C. 7 Petrova, Guergana 7 Xu, Jinchao 6 Bonito, Andrea 6 Bringmann, Philipp 6 Foucart, Simon 6 Führer, Thomas 6 Haasdonk, Bernard 6 Haberl, Alexander 6 Patera, Anthony T. 6 Quarteroni, Alfio M. 6 Temlyakov, Vladimir Nikolaevich 6 Xu, Yifeng 5 Binev, Peter G. 5 Giannelli, Carlotta 5 Hu, Jun 5 Karkulik, Michael 5 Urban, Karsten 5 Veeser, Andreas 5 Wojtaszczyk, Przemyslaw 5 Xie, Hehu 5 Xu, Fei 4 Bai, Yun 4 Buffa, Annalisa 4 Hansen, Anders C. 4 Li, Yuwen 4 Lombardi, Damiano 4 Manzoni, Andrea 4 Mao, Shipeng 4 Melenk, Jens Markus 4 Morgenstern, Philipp 4 Morin, Pedro 4 Nobile, Fabio 4 Ohlberger, Mario 4 Peterseim, Daniel 4 Rabus, Hella 4 Taddei, Tommaso 4 Tempone, Raúl F. 4 Thesing, Laura 4 Vigogna, Stefano 4 Xu, Xuejun 4 Yan, Ningning 4 Yano, Masayuki 4 Zhong, Liuqiang 4 Zou, Jun 4 Zuazua, Enrique 3 Antil, Harbir 3 Bespalov, Alexei 3 Budáč, Ondrej 3 Chen, Huajie 3 Chen, Long 3 Chen, Zhangxin 3 Dahlke, Stephan 3 Demlow, Alan 3 Diening, Lars 3 Dyczij-Edlinger, Romanus 3 Farle, Ortwin 3 Fornasier, Massimo 3 Galarce, Felipe 3 Gong, Wei 3 Gugercin, Serkan 3 Guo, Liming 3 Holst, Michael J. 3 Huang, Qiumei 3 Jiang, Jiahua 3 Khoromskiĭ, Boris Nikolaevich 3 Kreuzer, Christian 3 Lazar, Martin 3 Ma, Hongkun 3 Migliorati, Giovanni 3 Mu, Lin 3 Pagliantini, Cecilia 3 Penn, James D. 3 Pollock, Sara 3 Rave, Stephan David 3 Sauter, Stefan ...and 592 more Authors all top 5 Cited in 109 Serials 36 Numerische Mathematik 32 Mathematics of Computation 29 SIAM Journal on Numerical Analysis 26 Journal of Scientific Computing 23 Computer Methods in Applied Mechanics and Engineering 23 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 22 SIAM Journal on Scientific Computing 20 Computers & Mathematics with Applications 16 Journal of Computational and Applied Mathematics 16 Advances in Computational Mathematics 15 Constructive Approximation 14 Computational Methods in Applied Mathematics 12 Journal of Computational Physics 12 Applied Numerical Mathematics 10 Foundations of Computational Mathematics 9 SIAM/ASA Journal on Uncertainty Quantification 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 Applied and Computational Harmonic Analysis 6 Numerical Methods for Partial Differential Equations 5 Journal of Numerical Mathematics 4 BIT 4 Calcolo 4 International Journal for Numerical Methods in Engineering 4 Journal of Approximation Theory 4 Journal of Machine Learning Research (JMLR) 3 Applicable Analysis 3 Computer Aided Geometric Design 3 Numerical Algorithms 3 International Journal of Computer Mathematics 3 SIAM Review 3 The Journal of Fourier Analysis and Applications 3 Computing and Visualization in Science 3 Multiscale Modeling & Simulation 3 Acta Numerica 3 SMAI Journal of Computational Mathematics 3 SIAM Journal on Mathematics of Data Science 3 Sampling Theory, Signal Processing, and Data Analysis 2 Classical and Quantum Gravity 2 Journal of Mathematical Analysis and Applications 2 Mathematical Notes 2 The Annals of Statistics 2 Applied Mathematics and Computation 2 Numerical Functional Analysis and Optimization 2 Journal of Computational Mathematics 2 Journal of Complexity 2 COMPEL 2 SIAM Journal on Mathematical Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Archives of Computational Methods in Engineering 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Proceedings of the Steklov Institute of Mathematics 2 Electronic Journal of Statistics 2 Science China. Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Studia Mathematica 1 Acta Mathematica Vietnamica 1 Automatica 1 Journal of Multivariate Analysis 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Control and Optimization 1 Systems & Control Letters 1 Stochastic Analysis and Applications 1 Bulletin of the Iranian Mathematical Society 1 Physica D 1 Computational Mechanics 1 SIAM Journal on Matrix Analysis and Applications 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Integral Equations and Applications 1 Science in China. Series A 1 Machine Learning 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Applied Mathematical Modelling 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Mathematical Imaging and Vision 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Numerical Linear Algebra with Applications 1 ETNA. Electronic Transactions on Numerical Analysis 1 Bernoulli 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Vietnam Journal of Mathematics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Acta Mathematica Sinica. English Series 1 Computational Geosciences 1 Journal of Systems Science and Complexity 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 Sampling Theory in Signal and Image Processing 1 Analysis and Applications (Singapore) 1 International Journal of Numerical Analysis and Modeling 1 Oberwolfach Reports 1 Inverse Problems in Science and Engineering 1 GAMM-Mitteilungen 1 Communications in Computational Physics 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 SIAM Journal on Imaging Sciences 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Applied Mathematics and Mechanics ...and 9 more Serials all top 5 Cited in 38 Fields 433 Numerical analysis (65-XX) 183 Partial differential equations (35-XX) 81 Approximations and expansions (41-XX) 42 Fluid mechanics (76-XX) 39 Computer science (68-XX) 38 Statistics (62-XX) 27 Mechanics of deformable solids (74-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 22 Optics, electromagnetic theory (78-XX) 20 Functional analysis (46-XX) 19 Probability theory and stochastic processes (60-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 12 Information and communication theory, circuits (94-XX) 11 Systems theory; control (93-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Operations research, mathematical programming (90-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Integral equations (45-XX) 7 Operator theory (47-XX) 7 Biology and other natural sciences (92-XX) 6 Ordinary differential equations (34-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Mechanics of particles and systems (70-XX) 4 Quantum theory (81-XX) 3 Functions of a complex variable (30-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 2 Real functions (26-XX) 2 Relativity and gravitational theory (83-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year