Edit Profile (opens in new tab) Pillwein, Veronika Compute Distance To: Compute Author ID: pillwein.veronika Published as: Pillwein, Veronika; Pillwein, V. External Links: MGP Documents Indexed: 27 Publications since 2005 1 Contribution as Editor Co-Authors: 29 Co-Authors with 24 Joint Publications 674 Co-Co-Authors all top 5 Co-Authors 4 single-authored 5 Beuchler, Sven 3 Jiménez-Pastor, Antonio 3 Schöberl, Joachim 3 Zaglmayr, Sabine 2 Kauers, Manuel 2 Nikolov, Geno P. 2 Schneider, Carsten 2 Takacs, Stefan 1 Bećirović, A. 1 Braess, Dietrich 1 Dietert, Helge 1 Dixit, Atul 1 Dominici, Diego Ernesto 1 Geiss, Stefan 1 Georgieva, Irina 1 Hofreither, Clemens 1 Koukouvinos, Christos 1 Koutschan, Christoph 1 Moale, Ionela 1 Moll, Victor Hugo 1 Müller, Paul F. X. 1 Paule, Peter 1 Riese, Axel 1 Saminger-Platz, Susanne 1 Schussler, Miriam 1 Simos, Dimitris E. 1 Singer, Michael F. 1 Thanatipanonda, Thotsaporn (Aek) 1 Zafeirakopoulos, Zafeirakis all top 5 Serials 4 Advances in Applied Mathematics 2 Computing 2 Journal of Symbolic Computation 1 Computer Methods in Applied Mechanics and Engineering 1 Information Processing Letters 1 Journal of Mathematical Analysis and Applications 1 Studia Mathematica 1 Fuzzy Sets and Systems 1 Numerische Mathematik 1 Mathematical Inequalities & Applications 1 Annals of Combinatorics 1 LMS Journal of Computation and Mathematics 1 Central European Journal of Mathematics 1 ACM Communications in Computer Algebra 1 Texts & Monographs in Symbolic Computation all top 5 Fields 18 Computer science (68-XX) 13 Numerical analysis (65-XX) 9 Special functions (33-XX) 5 Partial differential equations (35-XX) 3 Commutative algebra (13-XX) 3 Ordinary differential equations (34-XX) 3 Approximations and expansions (41-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 134 times in 108 Documents Cited by ▼ Year ▼ Equilibrated residual error estimates are \(p\)-robust. Zbl 1157.65483Braess, Dietrich; Pillwein, Veronika; Schöberl, Joachim 63 2009 Sparsity optimized high order finite element functions for H(div) on simplices. Zbl 1256.65100Beuchler, Sven; Pillwein, Veronika; Zaglmayr, Sabine 10 2012 Sparse shape functions for tetrahedral \(p\)-FEM using integrated Jacobi polynomials. Zbl 1172.65384Beuchler, S.; Pillwein, V. 8 2007 Harmonic interpolation based on Radon projections along the sides of regular polygons. Zbl 1263.41002Georgieva, Irina; Hofreither, Clemens; Koutschan, Christoph; Pillwein, Veronika; Thanatipanonda, Thotsaporn 5 2013 Dominance in the family of Sugeno-Weber t-norms. Zbl 1250.03115Kauers, Manuel; Pillwein, Veronika; Saminger-Platz, Susanne 5 2011 Termination conditions for positivity proving procedures. Zbl 1360.68951Pillwein, Veronika 4 2013 Completins to sparse shape functions for triangular and tetrahedral \(p\)-FEM. Zbl 1267.65175Beuchler, Sven; Pillwein, Veronika 4 2008 When can we detect that a P-finite sequence is positive? Zbl 1321.68535Kauers, Manuel; Pillwein, Veronika 4 2010 A computable extension for D-finite functions: DD-finite functions. Zbl 1427.13034Jiménez-Pastor, Antonio; Pillwein, Veronika 4 2019 Sparsity optimized high order finite element functions on simplices. Zbl 1250.65137Beuchler, Sven; Pillwein, Veronika; Schöberl, Joachim; Zaglmayr, Sabine 4 2012 Hypergeometric summation algorithms for high-order finite elements. Zbl 1113.65105Bećirović, A.; Paule, P.; Pillwein, V.; Riese, A.; Schneider, C.; Schöberl, J. 3 2006 Positivity of certain sums over Jacobi kernel polynomials. Zbl 1173.33009Pillwein, Veronika 3 2008 A remark on extrapolation of rearrangement operators on dyadic \(H^s\), \(0 < s \leq 1\). Zbl 1092.46014Geiss, Stefan; Müller, Paul F. X.; Pillwein, Veronika 3 2005 Some structural results on \(\mathrm{D}^n\)-finite functions. Zbl 1480.12006Jiménez-Pastor, Antonio; Pillwein, Veronika; Singer, Michael F. 3 2020 An efficient procedure deciding positivity for a class of holonomic functions. Zbl 1365.68501Pillwein, Veronika; Schussler, Miriam 2 2015 An extension of Turán’s inequality. Zbl 1306.41004Nikolov, Geno; Pillwein, Veronika 2 2015 Sparsity optimized high order finite element functions for \(H(\mathrm{curl})\) on tetrahedra. Zbl 1285.65077Beuchler, Sven; Pillwein, Veronika; Zaglmayr, Sabine 2 2013 A local Fourier convergence analysis of a multigrid method using symbolic computation. Zbl 1294.65069Pillwein, Veronika; Takacs, Stefan 2 2014 Symbolic computation and finite element methods (invited talk). Zbl 1434.68711Pillwein, Veronika 1 2015 A hypergeometric inequality. Zbl 1334.33015Dixit, Atul; Moll, Victor H.; Pillwein, Veronika 1 2016 Algorithmic arithmetics with DD-finite functions. Zbl 1467.34014Jiménez-Pastor, Antonio; Pillwein, Veronika 1 2018 Some structural results on \(\mathrm{D}^n\)-finite functions. Zbl 1480.12006Jiménez-Pastor, Antonio; Pillwein, Veronika; Singer, Michael F. 3 2020 A computable extension for D-finite functions: DD-finite functions. Zbl 1427.13034Jiménez-Pastor, Antonio; Pillwein, Veronika 4 2019 Algorithmic arithmetics with DD-finite functions. Zbl 1467.34014Jiménez-Pastor, Antonio; Pillwein, Veronika 1 2018 A hypergeometric inequality. Zbl 1334.33015Dixit, Atul; Moll, Victor H.; Pillwein, Veronika 1 2016 An efficient procedure deciding positivity for a class of holonomic functions. Zbl 1365.68501Pillwein, Veronika; Schussler, Miriam 2 2015 An extension of Turán’s inequality. Zbl 1306.41004Nikolov, Geno; Pillwein, Veronika 2 2015 Symbolic computation and finite element methods (invited talk). Zbl 1434.68711Pillwein, Veronika 1 2015 A local Fourier convergence analysis of a multigrid method using symbolic computation. Zbl 1294.65069Pillwein, Veronika; Takacs, Stefan 2 2014 Harmonic interpolation based on Radon projections along the sides of regular polygons. Zbl 1263.41002Georgieva, Irina; Hofreither, Clemens; Koutschan, Christoph; Pillwein, Veronika; Thanatipanonda, Thotsaporn 5 2013 Termination conditions for positivity proving procedures. Zbl 1360.68951Pillwein, Veronika 4 2013 Sparsity optimized high order finite element functions for \(H(\mathrm{curl})\) on tetrahedra. Zbl 1285.65077Beuchler, Sven; Pillwein, Veronika; Zaglmayr, Sabine 2 2013 Sparsity optimized high order finite element functions for H(div) on simplices. Zbl 1256.65100Beuchler, Sven; Pillwein, Veronika; Zaglmayr, Sabine 10 2012 Sparsity optimized high order finite element functions on simplices. Zbl 1250.65137Beuchler, Sven; Pillwein, Veronika; Schöberl, Joachim; Zaglmayr, Sabine 4 2012 Dominance in the family of Sugeno-Weber t-norms. Zbl 1250.03115Kauers, Manuel; Pillwein, Veronika; Saminger-Platz, Susanne 5 2011 When can we detect that a P-finite sequence is positive? Zbl 1321.68535Kauers, Manuel; Pillwein, Veronika 4 2010 Equilibrated residual error estimates are \(p\)-robust. Zbl 1157.65483Braess, Dietrich; Pillwein, Veronika; Schöberl, Joachim 63 2009 Completins to sparse shape functions for triangular and tetrahedral \(p\)-FEM. Zbl 1267.65175Beuchler, Sven; Pillwein, Veronika 4 2008 Positivity of certain sums over Jacobi kernel polynomials. Zbl 1173.33009Pillwein, Veronika 3 2008 Sparse shape functions for tetrahedral \(p\)-FEM using integrated Jacobi polynomials. Zbl 1172.65384Beuchler, S.; Pillwein, V. 8 2007 Hypergeometric summation algorithms for high-order finite elements. Zbl 1113.65105Bećirović, A.; Paule, P.; Pillwein, V.; Riese, A.; Schneider, C.; Schöberl, J. 3 2006 A remark on extrapolation of rearrangement operators on dyadic \(H^s\), \(0 < s \leq 1\). Zbl 1092.46014Geiss, Stefan; Müller, Paul F. X.; Pillwein, Veronika 3 2005 all cited Publications top 5 cited Publications all top 5 Cited by 173 Authors 22 Vohralík, Martin 9 Ern, Alexandre 7 Pillwein, Veronika 4 Beuchler, Sven 4 Canuto, Claudio 4 Georgieva, Irina 4 Hofreither, Clemens 4 Smears, Iain 3 Bertrand, Fleurianne 3 Cai, Zhiqiang 3 Cancès, Eric 3 Chaumont-Frelet, Théophile 3 Dusson, Geneviève 3 Gedicke, Joscha 3 Jiménez-Pastor, Antonio 3 Maday, Yvon 3 Nochetto, Ricardo Horacio 3 Stamm, Benjamin 3 Starke, Gerhard 3 Stevenson, Rob P. 3 Verani, Marco 3 Wohlmuth, Barbara I. 3 Zhang, Shun 2 Bentkowska (Dudziak), Urszula 2 Braess, Dietrich 2 Cai, Difeng 2 Capatina, Daniela 2 Daniel, Patrik 2 Dixit, Atul 2 Dolejší, Vít 2 He, Cuiyu 2 Kreuzer, Christian 2 Król, Anna 2 Li, Huiyuan 2 Moll, Victor Hugo 2 Müller, Paul F. X. 2 Oyarzúa, Ricardo 2 Papež, Jan 2 Perugia, Ilaria 2 Riedlbeck, Rita 2 Sauter, Stefan A. 2 Schöberl, Joachim 2 Solano, Manuel E. 2 Zaglmayr, Sabine 2 Zúñiga, Paulo 1 Achchab, Boujemaa 1 Agouzal, Abdellatif 1 Ainsworth, Mark 1 Amdeberhan, Tewodros 1 Arias García, José De Jesús 1 Armentano, María Gabriela 1 Babuška, Ivo 1 Bank, Randolph E. 1 Becker, Roland 1 Bhargava, Rama 1 Boffi, Daniele 1 Borkowski, Mariusz 1 Bostan, Alin 1 Botti, Michele 1 Bouihat, Khalid 1 Bréhard, Florent 1 Čermák, Martin 1 Cha, Yongjae 1 Chamoin, Ludovic 1 Chan, Jesse 1 Chandra, Harish 1 Ciarlet, Patrick jun. 1 Congreve, Scott 1 Dabaghi, Jad 1 Dassi, Franco 1 Demkowicz, Leszek F. 1 Di Pietro, Daniele Antonio 1 Eigel, Martin 1 Eklund, Patrik E. 1 Ern, Alexndre 1 Fu, Guosheng 1 Fuentes, Federico 1 Geevers, Sjoerd 1 Georgoulis, Emmanuil H. 1 Gerhold, Stefan 1 Giani, Stefano 1 Granet, Sylvie 1 Guan, Xiao 1 Guo, Benqi 1 Guzmán, Johnny 1 Ha-Minh, C. 1 Hakula, Harri 1 Hannukainen, Antti 1 Hecht, Frédéric 1 Hoppe, Ronald H. W. 1 Huang, Chengchao 1 Hüeber, Stefan 1 Iliash, Youri 1 Irodova, Irina Pavlovna 1 Itkina, Natalia Borisovna 1 Ji, Guanghua 1 Jia, Lueling 1 Jiu, Lin 1 Kahler, Stefan 1 Kamont, Anna ...and 73 more Authors all top 5 Cited in 44 Serials 12 Numerische Mathematik 8 Journal of Scientific Computing 7 SIAM Journal on Numerical Analysis 5 Computers & Mathematics with Applications 5 Computer Methods in Applied Mechanics and Engineering 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Mathematics of Computation 4 Calcolo 4 SIAM Journal on Scientific Computing 3 Journal of Mathematical Analysis and Applications 3 Fuzzy Sets and Systems 3 Advances in Applied Mathematics 3 Computational Methods in Applied Mathematics 2 Journal of Approximation Theory 2 Journal of Computational and Applied Mathematics 2 Applied Numerical Mathematics 2 Journal of Symbolic Computation 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Computational Physics 1 Applied Mathematics and Computation 1 Computing 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Numerical Methods for Partial Differential Equations 1 Journal of Elasticity 1 Computational Optimization and Applications 1 Journal of Mathematical Sciences (New York) 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 Séminaire Lotharingien de Combinatoire 1 Computing and Visualization in Science 1 Annals of Combinatorics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Acta Numerica 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Mathematics in Computer Science 1 ACM Communications in Computer Algebra 1 Dependence Modeling 1 SIAM/ASA Journal on Uncertainty Quantification 1 International Journal of Applied and Computational Mathematics all top 5 Cited in 28 Fields 81 Numerical analysis (65-XX) 45 Partial differential equations (35-XX) 18 Fluid mechanics (76-XX) 13 Computer science (68-XX) 8 Mechanics of deformable solids (74-XX) 7 Special functions (33-XX) 7 Functional analysis (46-XX) 5 Approximations and expansions (41-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Mathematical logic and foundations (03-XX) 4 Combinatorics (05-XX) 4 Optics, electromagnetic theory (78-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 2 Field theory and polynomials (12-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) Citations by Year