Edit Profile (opens in new tab) Ait-Haddou, Rachid Compute Distance To: Compute Author ID: ait-haddou.rachid Published as: Ait-Haddou, Rachid; Ait-Haddou, R.; Ait Haddou, Rachid Documents Indexed: 37 Publications since 1995 Co-Authors: 20 Co-Authors with 30 Joint Publications 502 Co-Co-Authors all top 5 Co-Authors 7 single-authored 10 Mazure, Marie-Laurence 7 Nomura, Taishin 6 Herzog, Walter 5 Biard, Luc 4 Jinha, A. 3 Barton, Michael H. 3 Sakane, Yusuke 2 Binding, Paul Anthony 2 Calo, Victor Manuel 2 Goldman, Ronald N. 2 Ruhland, Helmut 1 Beccari, Carolina Vittoria 1 Federico, Salvatore 1 Furihata, Daisuke 1 Giaquinta, Gaetano 1 Grillo, Alfio 1 Kurachi, Yoshihisa 1 Li, Zhong 1 Render, Hermann 1 Slawinski, Michael A. all top 5 Serials 9 Computer Aided Geometric Design 4 Journal of Approximation Theory 4 Journal of Computational and Applied Mathematics 3 Numerical Algorithms 2 Mathematical Biosciences 2 BIT 2 Journal of Theoretical Biology 1 Journal of Mathematical Analysis and Applications 1 Applied Mathematics and Computation 1 Calcolo 1 Applied Numerical Mathematics 1 Constructive Approximation 1 Journal of Scientific Computing 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Physics A: Mathematical and Theoretical all top 5 Fields 27 Numerical analysis (65-XX) 16 Approximations and expansions (41-XX) 5 Computer science (68-XX) 4 Biology and other natural sciences (92-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 138 times in 84 Documents Cited by ▼ Year ▼ Chebyshev blossoming in Müntz spaces: toward shaping with Young diagrams. Zbl 1291.65051Ait-Haddou, Rachid; Sakane, Yusuke; Nomura, Taishin 14 2013 G2 approximation of an offset curve by Tschirnhausen quartics. Zbl 0835.65016Ait Haddou, Rachid; Biard, Luc 13 1995 Explicit Gaussian quadrature rules for \(C^1\) cubic splines with symmetrically stretched knot sequences. Zbl 1321.65037Ait-Haddou, Rachid; Bartoň, Michael; Calo, Victor Manuel 13 2015 Gaussian quadrature rules for \(C^1\) quintic splines with uniform knot vectors. Zbl 1365.65061Bartoň, Michael; Ait-Haddou, Rachid; Calo, Victor Manuel 13 2017 Dimension elevation in Müntz spaces: a new emergence of the Müntz condition. Zbl 1288.65017Ait-Haddou, Rachid 8 2014 Gelfond-Bézier curves. Zbl 1278.65012Ait-Haddou, Rachid; Sakane, Yusuke; Nomura, Taishin 8 2013 Minkowski isoperimetric-hodograph curves. Zbl 0948.68187Ait-Haddou, R.; Biard, L.; Slawinski, M. A. 7 2000 A Müntz type theorem for a family of corner cutting schemes. Zbl 1263.65015Ait-Haddou, Rachid; Sakane, Yusuke; Nomura, Taishin 7 2013 Approximation by Chebyshevian Bernstein operators versus convergence of dimension elevation. Zbl 1350.41023Ait-Haddou, Rachid; Mazure, Marie-Laurence 6 2016 Pythagorean-hodograph ovals of constant width. Zbl 1172.65317Ait-Haddou, Rachid; Herzog, Walter; Biard, Luc 5 2008 Constrained multi-degree reduction with respect to Jacobi norms. Zbl 1417.65074Ait-Haddou, Rachid; Bartoň, Michael 5 2016 The fundamental blossoming inequality in Chebyshev spaces. I: Applications to Schur functions. Zbl 1388.41019Ait-Haddou, Rachid; Mazure, Marie-Laurence 4 2018 Approximation by Müntz spaces on positive intervals. (Approximation par espaces de Müntz sur un intervalle positif.) Zbl 1323.41020Ait-Haddou, Rachid; Mazure, Marie-Laurence 4 2013 \(q\)-blossoming and Hermite-Padé approximants to the \(q\)-exponential function. Zbl 1379.41014Ait-Haddou, Rachid 4 2017 Complex Bézier curves and the geometry of polygons. Zbl 1217.68233Ait-Haddou, Rachid; Herzog, Walter; Nomura, Taishin 3 2010 Analysis of the force-sharing problem using an optimization model. Zbl 1053.92005Ait-Haddou, R.; Jinha, A.; Herzog, W.; Binding, P. 3 2004 Best polynomial degree reduction on \(q\)-lattices with applications to \(q\)-orthogonal polynomials. Zbl 1410.65043Ait-Haddou, Rachid; Goldman, Ron 3 2015 Pythagorean hodograph spline spirals that match \(G^3\) Hermite data from circles. Zbl 1304.65101Li, Zhong; Ait-Haddou, Rachid; Biard, Luc 2 2015 On the Lorentz degree of a product of polynomials. Zbl 1305.41005Ait-Haddou, Rachid 2 2015 Complex Bézier curves and the geometry of polynomials. Zbl 1352.65045Ait-Haddou, Rachid; Nomura, Taishin 2 2012 Polynomial degree reduction in the discrete \(L_2\)-norm equals best Euclidean approximation of \(h\)-Bézier coefficients. Zbl 1342.65090Ait-Haddou, Rachid 2 2016 A remarkable Wronskian with application to critical lengths of cycloidal spaces. Zbl 1431.41001Ait-Haddou, Rachid; Mazure, Marie-Laurence; Ruhland, Helmut 2 2019 Nested sequences of rational spaces: Bernstein approximation, dimension elevation, and Pólya-type theorems on positive polynomials. Zbl 1396.41010Ait-Haddou, Rachid; Mazure, Marie-Laurence; Render, Hermann 1 2018 Directed transport of Brownian particles in a changing temperature field. Zbl 1189.82110Grillo, A.; Jinha, A.; Federico, S.; Ait-Haddou, R.; Herzog, W.; Giaquinta, G. 1 2008 A refinement of the variation diminishing property of Bézier curves. Zbl 1210.65030Ait-Haddou, Rachid; Nomura, Taishin; Biard, Luc 1 2010 Antagonistic activity of one-joint muscles in three-dimensions using non-linear optimisation. Zbl 1098.92004Jinha, A.; Ait-Haddou, R.; Binding, P.; Herzog, W. 1 2006 Interpolation of \(G^1\) Hermite data by \(C^1\) cubic-like sparse Pythagorean hodograph splines. Zbl 07200762Ait-Haddou, Rachid; Beccari, Carolina Vittoria; Mazure, Marie-Laurence 1 2020 New stability results for explicit Runge-Kutta methods. Zbl 1420.65076Ait-Haddou, Rachid 1 2019 Sparse Pythagorean hodograph curves. Zbl 1375.65019Ait-Haddou, Rachid; Mazure, Marie-Laurence 1 2017 Continuous and discrete best polynomial degree reduction with Jacobi and Hahn weights. Zbl 1339.41005Ait-Haddou, Rachid 1 2016 Interpolation of \(G^1\) Hermite data by \(C^1\) cubic-like sparse Pythagorean hodograph splines. Zbl 07200762Ait-Haddou, Rachid; Beccari, Carolina Vittoria; Mazure, Marie-Laurence 1 2020 A remarkable Wronskian with application to critical lengths of cycloidal spaces. Zbl 1431.41001Ait-Haddou, Rachid; Mazure, Marie-Laurence; Ruhland, Helmut 2 2019 New stability results for explicit Runge-Kutta methods. Zbl 1420.65076Ait-Haddou, Rachid 1 2019 The fundamental blossoming inequality in Chebyshev spaces. I: Applications to Schur functions. Zbl 1388.41019Ait-Haddou, Rachid; Mazure, Marie-Laurence 4 2018 Nested sequences of rational spaces: Bernstein approximation, dimension elevation, and Pólya-type theorems on positive polynomials. Zbl 1396.41010Ait-Haddou, Rachid; Mazure, Marie-Laurence; Render, Hermann 1 2018 Gaussian quadrature rules for \(C^1\) quintic splines with uniform knot vectors. Zbl 1365.65061Bartoň, Michael; Ait-Haddou, Rachid; Calo, Victor Manuel 13 2017 \(q\)-blossoming and Hermite-Padé approximants to the \(q\)-exponential function. Zbl 1379.41014Ait-Haddou, Rachid 4 2017 Sparse Pythagorean hodograph curves. Zbl 1375.65019Ait-Haddou, Rachid; Mazure, Marie-Laurence 1 2017 Approximation by Chebyshevian Bernstein operators versus convergence of dimension elevation. Zbl 1350.41023Ait-Haddou, Rachid; Mazure, Marie-Laurence 6 2016 Constrained multi-degree reduction with respect to Jacobi norms. Zbl 1417.65074Ait-Haddou, Rachid; Bartoň, Michael 5 2016 Polynomial degree reduction in the discrete \(L_2\)-norm equals best Euclidean approximation of \(h\)-Bézier coefficients. Zbl 1342.65090Ait-Haddou, Rachid 2 2016 Continuous and discrete best polynomial degree reduction with Jacobi and Hahn weights. Zbl 1339.41005Ait-Haddou, Rachid 1 2016 Explicit Gaussian quadrature rules for \(C^1\) cubic splines with symmetrically stretched knot sequences. Zbl 1321.65037Ait-Haddou, Rachid; Bartoň, Michael; Calo, Victor Manuel 13 2015 Best polynomial degree reduction on \(q\)-lattices with applications to \(q\)-orthogonal polynomials. Zbl 1410.65043Ait-Haddou, Rachid; Goldman, Ron 3 2015 Pythagorean hodograph spline spirals that match \(G^3\) Hermite data from circles. Zbl 1304.65101Li, Zhong; Ait-Haddou, Rachid; Biard, Luc 2 2015 On the Lorentz degree of a product of polynomials. Zbl 1305.41005Ait-Haddou, Rachid 2 2015 Dimension elevation in Müntz spaces: a new emergence of the Müntz condition. Zbl 1288.65017Ait-Haddou, Rachid 8 2014 Chebyshev blossoming in Müntz spaces: toward shaping with Young diagrams. Zbl 1291.65051Ait-Haddou, Rachid; Sakane, Yusuke; Nomura, Taishin 14 2013 Gelfond-Bézier curves. Zbl 1278.65012Ait-Haddou, Rachid; Sakane, Yusuke; Nomura, Taishin 8 2013 A Müntz type theorem for a family of corner cutting schemes. Zbl 1263.65015Ait-Haddou, Rachid; Sakane, Yusuke; Nomura, Taishin 7 2013 Approximation by Müntz spaces on positive intervals. (Approximation par espaces de Müntz sur un intervalle positif.) Zbl 1323.41020Ait-Haddou, Rachid; Mazure, Marie-Laurence 4 2013 Complex Bézier curves and the geometry of polynomials. Zbl 1352.65045Ait-Haddou, Rachid; Nomura, Taishin 2 2012 Complex Bézier curves and the geometry of polygons. Zbl 1217.68233Ait-Haddou, Rachid; Herzog, Walter; Nomura, Taishin 3 2010 A refinement of the variation diminishing property of Bézier curves. Zbl 1210.65030Ait-Haddou, Rachid; Nomura, Taishin; Biard, Luc 1 2010 Pythagorean-hodograph ovals of constant width. Zbl 1172.65317Ait-Haddou, Rachid; Herzog, Walter; Biard, Luc 5 2008 Directed transport of Brownian particles in a changing temperature field. Zbl 1189.82110Grillo, A.; Jinha, A.; Federico, S.; Ait-Haddou, R.; Herzog, W.; Giaquinta, G. 1 2008 Antagonistic activity of one-joint muscles in three-dimensions using non-linear optimisation. Zbl 1098.92004Jinha, A.; Ait-Haddou, R.; Binding, P.; Herzog, W. 1 2006 Analysis of the force-sharing problem using an optimization model. Zbl 1053.92005Ait-Haddou, R.; Jinha, A.; Herzog, W.; Binding, P. 3 2004 Minkowski isoperimetric-hodograph curves. Zbl 0948.68187Ait-Haddou, R.; Biard, L.; Slawinski, M. A. 7 2000 G2 approximation of an offset curve by Tschirnhausen quartics. Zbl 0835.65016Ait Haddou, Rachid; Biard, Luc 13 1995 all cited Publications top 5 cited Publications all top 5 Cited by 114 Authors 22 Ait-Haddou, Rachid 12 Mazure, Marie-Laurence 7 Barton, Michael H. 7 Goldman, Ronald N. 4 Calo, Victor Manuel 4 Farouki, Rida T. 4 Hu, Gang 3 Beccari, Carolina Vittoria 3 Bo, Cuicui 3 Choi, Hyeong In 3 Herzog, Walter 3 Hughes, Thomas J. R. 3 Kosinka, Jiří 3 Martini, Horst 3 Qin, Xinqiang 3 Simeonov, Plamen C. 2 Biard, Luc 2 Calabró, Francesco 2 Casciola, Giulio 2 Dişibüyük, Çetin 2 Jinha, A. 2 Kwon, Song-Hwa 2 Meek, Dereck S. 2 Peternell, Martin 2 Pottmann, Helmut 2 Pyo Moon, Hwan 2 Render, Hermann 2 Sauer, Roger A. 2 Scott, Michael A. 2 Walton, Desmond J. 2 Wei, Guo 2 Zou, Zhihui 1 Abbas, Muhammad 1 Alcazar, Juan Gerardo 1 Aldaz, Jésus Munárriz 1 Argyros, Ioannis Konstantinos 1 Avdzhieva, Ana 1 Balestro, Vitor 1 Barendrecht, Pieter J. 1 Barrera, Domingo 1 Binding, Paul Anthony 1 Bu, Sunyoung 1 Chen, Peng 1 Chiarella, I. 1 Choi, Sungwoo 1 Clain, Stéphane Louis 1 Craizer, Marcos 1 Crouzeix, Jean-Pierre 1 Deng, Chongyang 1 Deng, Quanling 1 Favre, Philippe 1 Furihata, Daisuke 1 Gerber, Christian 1 Ghoreishi, Farideh 1 Giust, Alessandro 1 González, Daniel 1 Goodman, Timothy N. T. 1 Gospodarczyk, Przemysław 1 Habib, Zulfiqar 1 Han, Chang Yong 1 Hiemstra, René R. 1 Hokkanen, Jaro 1 Hou, Fei 1 Hu, Xianzhi 1 Johannessen, Kjetil André 1 Jüttler, Bert 1 Khare, Apoorva 1 Kim, Taewan 1 Krajnc, Marjeta 1 Lagos, Roberto E. 1 Lewanowicz, Stanisław 1 Li, Zhong 1 Lu, Jing 1 Lu, Wei 1 Ma, Weiyin 1 Machado, Gaspar J. 1 Malheiro, M. Teresa 1 Miao, Di 1 Misro, Md Yushalify 1 Moon, H. P. 1 Mozgawa, Witold 1 Mustafaev, Zokhrab 1 Nikolov, Geno P. 1 Ostrovska, Sofiya 1 Özban, Ahmet Yasar 1 Pan, Maodong 1 Pedroso, Dorival M. 1 Puzyrev, Vladimir 1 Remogna, Sara 1 Rochera, David 1 Roh, Kyeong Hah 1 Róth, ágoston 1 Ruhland, Helmut 1 Sakai, Manabu 1 Sangalli, Giancarlo 1 Savitha, E. J. 1 Schillinger, Dominik 1 Shah, Sagar 1 Shonoda, Emad N. 1 Simões, Tania P. ...and 14 more Authors all top 5 Cited in 36 Serials 16 Computer Aided Geometric Design 11 Journal of Computational and Applied Mathematics 9 Computer Methods in Applied Mechanics and Engineering 5 Numerical Algorithms 4 Journal of Approximation Theory 3 Applied Mathematics and Computation 2 BIT 2 Applied Numerical Mathematics 2 Constructive Approximation 2 Mediterranean Journal of Mathematics 2 Symmetry 2 AIMS Mathematics 1 Biological Cybernetics 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Mathematical Biosciences 1 Physica A 1 Beiträge zur Algebra und Geometrie 1 American Journal of Mathematics 1 Calcolo 1 Journal of Symbolic Computation 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Aequationes Mathematicae 1 Expositiones Mathematicae 1 Applied Mathematics. Series B (English Edition) 1 Advances in Computational Mathematics 1 Journal of Inequalities and Applications 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Advances in Difference Equations 1 Set-Valued and Variational Analysis 1 Journal of Theoretical Biology 1 Communications in Mathematics and Statistics 1 Mathematics all top 5 Cited in 25 Fields 59 Numerical analysis (65-XX) 26 Approximations and expansions (41-XX) 9 Computer science (68-XX) 5 Differential geometry (53-XX) 4 Convex and discrete geometry (52-XX) 4 Biology and other natural sciences (92-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Ordinary differential equations (34-XX) 3 Geometry (51-XX) 2 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year