Edit Profile (opens in new tab) Mainar, Esmeralda Co-Author Distance Author ID: mainar.esmeralda Published as: Mainar, E.; Mainar, Esmeralda Documents Indexed: 55 Publications since 1998, including 1 Additional arXiv Preprint Co-Authors: 10 Co-Authors with 55 Joint Publications 162 Co-Co-Authors all top 5 Co-Authors 0 single-authored 49 Peña, Juan Manuel 17 Carnicer, Jésus Miguel 15 Rubio, Beatriz 4 Ferreira, Chelo 3 López, José Luis 1 Delgado, Jorge F. M. 1 Khiar, Yasmina 1 Royo-Amondarain, Eduardo 1 Sánchez-Reyes, Javier 1 Temme, Nico M. all top 5 Serials 7 Computer Aided Geometric Design 5 Advances in Computational Mathematics 4 Numerical Algorithms 4 Numerical Linear Algebra with Applications 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Journal of Approximation Theory 2 Computers & Mathematics with Applications 2 Calcolo 2 Constructive Approximation 2 Journal of Scientific Computing 2 Linear Algebra and its Applications 1 Rocky Mountain Journal of Mathematics 1 Computing 1 Journal of Computational and Applied Mathematics 1 Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza. Serie 2 1 Advances in Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 East Journal on Approximations 1 La Gaceta de la Real Sociedad Matemática Española 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics all top 5 Fields 45 Numerical analysis (65-XX) 25 Approximations and expansions (41-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Special functions (33-XX) 4 Computer science (68-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 318 times in 180 Documents Cited by ▼ Year ▼ Shape preserving alternatives to the rational Bézier model. Zbl 0972.68157 Mainar, E.; Peña, J. M.; Sánchez-Reyes, J. 66 2001 Critical length for design purposes and extended Chebyshev spaces. Zbl 1061.41004 Carnicer, J. M.; Mainar, E.; Peña, J. M. 56 2004 A general class of Bernstein-like bases. Zbl 1152.65408 Mainar, E.; Peña, J. M. 22 2007 Corner cutting algorithms associated with optimal shape preserving representations. Zbl 0997.65025 Mainar, E.; Peña, J. M. 21 1999 Optimal bases for a class of mixed spaces and their associated spline spaces. Zbl 1189.41005 Mainar, E.; Peña, J. M. 17 2010 Error analysis of corner cutting algorithms. Zbl 0964.65008 Mainar, E.; Peña, J. M. 16 1999 A basis of C-Bézier splines with optimal properties. Zbl 0995.68135 Mainar, E.; Peña, J. M. 15 2002 Shape preservation regions for six-dimensional spaces. Zbl 1120.65014 Carnicer, J. M.; Mainar, E.; Peña, J. M. 9 2007 On the critical lengths of cycloidal spaces. Zbl 1315.41001 Carnicer, J. M.; Mainar, E.; Peña, J. M. 8 2014 Accurate computations with collocation and Wronskian matrices of Jacobi polynomials. Zbl 1468.65034 Mainar, E.; Peña, J. M.; Rubio, B. 8 2021 Critical lengths of cycloidal spaces are zeros of Bessel functions. Zbl 1382.41001 Carnicer, J. M.; Mainar, E.; Peña, J. M. 7 2017 Representing circles with five control points. Zbl 1069.65509 Carnicer, J. M.; Mainar, E.; Peña, J. M. 7 2003 Asymptotic relations in the Askey scheme for hypergeometric orthogonal polynomials. Zbl 1029.33004 Ferreira, Chelo; Lopez, José L.; Mainar, Esmeralda 7 2003 Quadratic-cycloidal curves. Zbl 1043.65031 Mainar, E.; Peña, J. M. 7 2004 Accurate computations with collocation matrices of a general class of bases. Zbl 1513.65051 Mainar, E.; Peña, J. M. 6 2018 Running error analysis of evaluation algorithms for bivariate polynomials in barycentric Bernstein form. Zbl 1087.65019 Mainar, E.; Peña, J. M. 5 2006 Evaluation algorithms for multivariate polynomials in Bernstein-Bézier form. Zbl 1104.41007 Mainar, Esmeralda; Peña, J. M. 5 2006 Accurate computations with Wronskian matrices. Zbl 1469.65088 Mainar, E.; Peña, J. M.; Rubio, B. 5 2021 Greville abscissae of totally positive bases. Zbl 1366.65015 Carnicer, J. M.; Mainar, E.; Peña, J. M. 4 2016 Asymptotic approximations of integrals: an introduction, with recent developments and applications to orthogonal polynomials. Zbl 1122.41018 Ferreira, Chelo; López, José L.; Mainar, Esmeralda; Temme, Nico M. 3 2005 Accurate computations with matrices related to bases \(\{t^ie^{\lambda t}\}\). Zbl 1492.65067 Mainar, E.; Peña, J. M.; Rubio, B. 3 2022 Accurate bidiagonal decomposition of collocation matrices of weighted \(\varphi\)-transformed systems. Zbl 07217202 Mainar, Esmeralda; Peña, Juan Manuel; Rubio, Beatriz 3 2020 Evaluation and subdivision algorithms for general classes of totally positive rational bases. Zbl 1505.65080 Mainar, E.; Peña, J. M.; Rubio, B. 3 2020 Accurate computations with Gram and Wronskian matrices of geometric and Poisson bases. Zbl 1492.65066 Mainar, E.; Peña, J. M.; Rubio, B. 3 2022 Knot insertion and totally positive systems. Zbl 0951.41013 Mainar, E.; Peña, J. M. 2 2000 A unified framework for cubics and cycloids. Zbl 1043.65023 Carnicer, J. M.; Mainar, E.; Peña, J. M. 2 2003 Interpolation on cycloidal spaces. Zbl 1301.41002 Carnicer, J. M.; Mainar, E.; Peña, J. M. 1 2014 Evaluation and subdivision algorithms for totally positive systems. Zbl 0905.65017 Mainar, E.; Peña, J. M. 1 1998 Stability properties of disk polynomials. Zbl 1464.41002 Carnicer, Jésus Miguel; Mainar, Esmeralda; Peña, Juan Manuel 1 2021 Accurate and efficient computations with Wronskian matrices of Bernstein and related bases. Zbl 07511604 Mainar, Esmeralda; Peña, Juan M.; Rubio, Beatriz 1 2022 Total positivity and accurate computations with Gram matrices of Bernstein bases. Zbl 1503.65076 Mainar, E.; Peña, J. M.; Rubio, B. 1 2022 Monotonicity preserving representations of non-polynomial surfaces. Zbl 1186.65021 Mainar, E.; Peña, J. M. 1 2010 Optimal basis of a space mixing trigonometric and hyperbolic functions. Zbl 1115.65309 Carnicer, J. M.; Mainar, E.; Peña, J. M. 1 2006 Asymptotic approximations of orthogonal polynomials. Zbl 1046.33007 Ferreira, C.; López, J. L.; Mainar, E. 1 2003 Accurate computations with matrices related to bases \(\{t^ie^{\lambda t}\}\). Zbl 1492.65067 Mainar, E.; Peña, J. M.; Rubio, B. 3 2022 Accurate computations with Gram and Wronskian matrices of geometric and Poisson bases. Zbl 1492.65066 Mainar, E.; Peña, J. M.; Rubio, B. 3 2022 Accurate and efficient computations with Wronskian matrices of Bernstein and related bases. Zbl 07511604 Mainar, Esmeralda; Peña, Juan M.; Rubio, Beatriz 1 2022 Total positivity and accurate computations with Gram matrices of Bernstein bases. Zbl 1503.65076 Mainar, E.; Peña, J. M.; Rubio, B. 1 2022 Accurate computations with collocation and Wronskian matrices of Jacobi polynomials. Zbl 1468.65034 Mainar, E.; Peña, J. M.; Rubio, B. 8 2021 Accurate computations with Wronskian matrices. Zbl 1469.65088 Mainar, E.; Peña, J. M.; Rubio, B. 5 2021 Stability properties of disk polynomials. Zbl 1464.41002 Carnicer, Jésus Miguel; Mainar, Esmeralda; Peña, Juan Manuel 1 2021 Accurate bidiagonal decomposition of collocation matrices of weighted \(\varphi\)-transformed systems. Zbl 07217202 Mainar, Esmeralda; Peña, Juan Manuel; Rubio, Beatriz 3 2020 Evaluation and subdivision algorithms for general classes of totally positive rational bases. Zbl 1505.65080 Mainar, E.; Peña, J. M.; Rubio, B. 3 2020 Accurate computations with collocation matrices of a general class of bases. Zbl 1513.65051 Mainar, E.; Peña, J. M. 6 2018 Critical lengths of cycloidal spaces are zeros of Bessel functions. Zbl 1382.41001 Carnicer, J. M.; Mainar, E.; Peña, J. M. 7 2017 Greville abscissae of totally positive bases. Zbl 1366.65015 Carnicer, J. M.; Mainar, E.; Peña, J. M. 4 2016 On the critical lengths of cycloidal spaces. Zbl 1315.41001 Carnicer, J. M.; Mainar, E.; Peña, J. M. 8 2014 Interpolation on cycloidal spaces. Zbl 1301.41002 Carnicer, J. M.; Mainar, E.; Peña, J. M. 1 2014 Optimal bases for a class of mixed spaces and their associated spline spaces. Zbl 1189.41005 Mainar, E.; Peña, J. M. 17 2010 Monotonicity preserving representations of non-polynomial surfaces. Zbl 1186.65021 Mainar, E.; Peña, J. M. 1 2010 A general class of Bernstein-like bases. Zbl 1152.65408 Mainar, E.; Peña, J. M. 22 2007 Shape preservation regions for six-dimensional spaces. Zbl 1120.65014 Carnicer, J. M.; Mainar, E.; Peña, J. M. 9 2007 Running error analysis of evaluation algorithms for bivariate polynomials in barycentric Bernstein form. Zbl 1087.65019 Mainar, E.; Peña, J. M. 5 2006 Evaluation algorithms for multivariate polynomials in Bernstein-Bézier form. Zbl 1104.41007 Mainar, Esmeralda; Peña, J. M. 5 2006 Optimal basis of a space mixing trigonometric and hyperbolic functions. Zbl 1115.65309 Carnicer, J. M.; Mainar, E.; Peña, J. M. 1 2006 Asymptotic approximations of integrals: an introduction, with recent developments and applications to orthogonal polynomials. Zbl 1122.41018 Ferreira, Chelo; López, José L.; Mainar, Esmeralda; Temme, Nico M. 3 2005 Critical length for design purposes and extended Chebyshev spaces. Zbl 1061.41004 Carnicer, J. M.; Mainar, E.; Peña, J. M. 56 2004 Quadratic-cycloidal curves. Zbl 1043.65031 Mainar, E.; Peña, J. M. 7 2004 Representing circles with five control points. Zbl 1069.65509 Carnicer, J. M.; Mainar, E.; Peña, J. M. 7 2003 Asymptotic relations in the Askey scheme for hypergeometric orthogonal polynomials. Zbl 1029.33004 Ferreira, Chelo; Lopez, José L.; Mainar, Esmeralda 7 2003 A unified framework for cubics and cycloids. Zbl 1043.65023 Carnicer, J. M.; Mainar, E.; Peña, J. M. 2 2003 Asymptotic approximations of orthogonal polynomials. Zbl 1046.33007 Ferreira, C.; López, J. L.; Mainar, E. 1 2003 A basis of C-Bézier splines with optimal properties. Zbl 0995.68135 Mainar, E.; Peña, J. M. 15 2002 Shape preserving alternatives to the rational Bézier model. Zbl 0972.68157 Mainar, E.; Peña, J. M.; Sánchez-Reyes, J. 66 2001 Knot insertion and totally positive systems. Zbl 0951.41013 Mainar, E.; Peña, J. M. 2 2000 Corner cutting algorithms associated with optimal shape preserving representations. Zbl 0997.65025 Mainar, E.; Peña, J. M. 21 1999 Error analysis of corner cutting algorithms. Zbl 0964.65008 Mainar, E.; Peña, J. M. 16 1999 Evaluation and subdivision algorithms for totally positive systems. Zbl 0905.65017 Mainar, E.; Peña, J. M. 1 1998 all cited Publications top 5 cited Publications all top 5 Cited by 177 Authors 41 Peña, Juan Manuel 29 Mainar, Esmeralda 17 Mazure, Marie-Laurence 13 Wang, Guozhao 12 Manni, Carla 11 Carnicer, Jésus Miguel 10 Delgado, Jorge F. M. 10 Speleers, Hendrik 9 Rubio, Beatriz 8 Zhu, Yuanpeng 7 Hu, Gang 6 Beccari, Carolina Vittoria 6 Casciola, Giulio 6 Han, Xuli 6 Qin, Xinqiang 6 Render, Hermann 6 Romani, Lucia 5 Roman, Fabio 4 Aldaz, Jésus Munárriz 4 Hoffmann, Miklós 4 Juhász, Imre 4 Marco García, Ana 4 Martínez, José-Javier 4 Róth, ágoston 3 Ait-Haddou, Rachid 3 Bo, Cuicui 3 Costantini, Paolo Giuseppe 3 Ferreira, Chelo 3 Kounchev, Ognyan Ivanov 3 Li, Yajuan 3 López, José Luis 3 Misro, Md Yushalify 3 Saini, Laura 3 Sánchez-Reyes, Javier 3 Shen, Wanqiang 3 Viaña, Raquel 3 Yang, Xunnian 2 Abbas, Muhammad Mohsin 2 Albrecht, Gudrun 2 Alinia, N. 2 Barrio, Roberto 2 Bracco, Cesare 2 Brilleaud, Martine 2 Cattiaux-Huillard, Isabelle 2 Cheng, Lizhi 2 de la Sen, Manuel 2 Fang, Meie 2 Jiang, Hao 2 Liu, Shengjun 2 Lu, Lizheng 2 Lyche, Tom 2 Orera, Héctor 2 Pelosi, Francesca 2 Pérez Sinusía, Ester 2 Sampoli, Maria Lucia 2 Wei, Guo 2 Wei, Yongwei 2 Yang, Yang 2 Yoon, Jungho 2 Zarebnia, Mohammad 1 Adouani, Ines 1 Ahn, Young Joon 1 Ali, Jamaludin Md. 1 Álvarez-Nodarse, Renato 1 Ammad, Muhammad 1 Aqeel, Beenish 1 Bashir, Uzma 1 Bay, Thierry 1 Bibi, Samia 1 Borghi, Riccardo 1 Bosner, Tina 1 Cao, Huanxin 1 Chen, Qinyu 1 Chen, Zhenbiao 1 Chen, Zhili 1 Chu, Ying 1 Conti, Costanza 1 Dişibüyük, Çetin 1 Domínguez-Vázquez, Miguel 1 Dominici, Diego Ernesto 1 Ersoy Hepson, Ozlem 1 Fan, Feilong 1 Fan, Fengtao 1 Fransen, Kwinten 1 Goldman, Ronald N. 1 González, Cindy 1 Goodman, Timothy N. T. 1 Han, Liwen 1 Hao, Yongxia 1 Hermes, Danny 1 Hiemstra, René R. 1 Hong, Jialin 1 Hu, Xianzhi 1 Huang, Rong 1 Huang, Yu 1 Hughes, Thomas J. R. 1 Hui, Kinchuen 1 Hussain, Malik Zawwar 1 Hussain, Maria 1 Iliyas, Mohammad ...and 77 more Authors all top 5 Cited in 54 Serials 24 Journal of Computational and Applied Mathematics 19 Computer Aided Geometric Design 11 Applied Mathematics and Computation 9 Advances in Computational Mathematics 8 Numerical Algorithms 7 Journal of Approximation Theory 7 Numerische Mathematik 5 Computational and Applied Mathematics 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Computers & Mathematics with Applications 4 Linear Algebra and its Applications 4 Applied Mathematics. Series B (English Edition) 3 Calcolo 3 Applied Numerical Mathematics 3 Constructive Approximation 3 Journal of Scientific Computing 3 Mathematical Problems in Engineering 3 Journal of Inequalities and Applications 3 Science in China. Series F 3 Journal of Zhejiang University. Science A 2 Computer Methods in Applied Mechanics and Engineering 2 Mathematical Methods in the Applied Sciences 2 Rocky Mountain Journal of Mathematics 2 ACM Transactions on Mathematical Software 2 BIT 2 Computing 2 Acta Applicandae Mathematicae 2 Applied Mathematics Letters 2 SIAM Journal on Scientific Computing 2 S\(\vec{\text{e}}\)MA Journal 1 Classical and Quantum Gravity 1 Journal of Mathematical Analysis and Applications 1 Demonstratio Mathematica 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Bulletin of the Iranian Mathematical Society 1 Numerical Methods for Partial Differential Equations 1 Differential Geometry and its Applications 1 Journal of Mathematical Imaging and Vision 1 Journal of the Egyptian Mathematical Society 1 ELA. The Electronic Journal of Linear Algebra 1 The Ramanujan Journal 1 Positivity 1 Foundations of Computational Mathematics 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics and Computing 1 Central European Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Mathematics in Computer Science 1 Journal of Mathematical Research with Applications 1 Ural Mathematical Journal all top 5 Cited in 22 Fields 151 Numerical analysis (65-XX) 75 Approximations and expansions (41-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 13 Computer science (68-XX) 10 Special functions (33-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 6 Ordinary differential equations (34-XX) 5 Real functions (26-XX) 4 Partial differential equations (35-XX) 4 Geometry (51-XX) 3 Functions of a complex variable (30-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Sequences, series, summability (40-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year