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Interest in educational robotics has increased over the last decade. Through various approaches, robots are being used in the teaching and learning of different subjects at distinct education levels. The present study investigates the effects of an educational robotic intervention on the mental rotation and computational thinking assessment in a 3rd grade classroom. To this end, we carried out a quasi-experimental study involving 24 third-grade students. From an embodied approach, we have designed a two-hour intervention providing students with a physical environment to perform tangible programming on Bee-bot. The results revealed that this educational robotic proposal aimed at map-reading tasks leads to statistically significant gains in computational thinking. Moreover, students who followed the Bee-bot-based intervention achieved greater CT level compared to students following a traditional instruction approach, after controlling student’s prior level. No conclusive results were found in relation to mental rotation.
Pascual D. Diagoa; José A. González-Calerob; Dionisio F. Yáñez. Exploring the development of mental rotation and computational skills in elementary students through educational robotics. International Journal of Child-Computer Interaction 2021, 100388 .
AMA StylePascual D. Diagoa, José A. González-Calerob, Dionisio F. Yáñez. Exploring the development of mental rotation and computational skills in elementary students through educational robotics. International Journal of Child-Computer Interaction. 2021; ():100388.
Chicago/Turabian StylePascual D. Diagoa; José A. González-Calerob; Dionisio F. Yáñez. 2021. "Exploring the development of mental rotation and computational skills in elementary students through educational robotics." International Journal of Child-Computer Interaction , no. : 100388.
Means of positive numbers appear in many applications and have been a traditional matter of study. In this work, we focus on defining a new mean of two positive values with some properties which are essential in applications, ranging from subdivision and multiresolution schemes to the numerical solution of conservation laws. In particular, three main properties are crucial—in essence, the ideas of these properties are roughly the following: to stay close to the minimum of the two values when the two arguments are far away from each other, to be quite similar to the arithmetic mean of the two values when they are similar and to satisfy a Lipchitz condition. We present new means with these properties and improve upon the results obtained with other means, in the sense that they give sharper theoretical constants that are closer to the results obtained in practical examples. This has an immediate correspondence in several applications, as can be observed in the section devoted to a particular example.
Sergio Amat; Alberto Magreñan; Juan Ruiz; Juan Trillo; Dionisio Yañez. On New Means with Interesting Practical Applications: Generalized Power Means. Mathematics 2021, 9, 925 .
AMA StyleSergio Amat, Alberto Magreñan, Juan Ruiz, Juan Trillo, Dionisio Yañez. On New Means with Interesting Practical Applications: Generalized Power Means. Mathematics. 2021; 9 (9):925.
Chicago/Turabian StyleSergio Amat; Alberto Magreñan; Juan Ruiz; Juan Trillo; Dionisio Yañez. 2021. "On New Means with Interesting Practical Applications: Generalized Power Means." Mathematics 9, no. 9: 925.
In this paper we translate to the cell-average setting the algorithm for the point-value discretization presented in Amat el al. (2020). This new strategy tries to improve the results of WENO-(2r−1) algorithm close to the singularities, resulting in an optimal order of accuracy at these zones. The main idea is to modify the optimal weights so that they have a nonlinear expression that depends on the position of the discontinuities. In this paper we study the application of the new algorithm to signal processing using Harten’s multiresolution. Several numerical experiments are performed in order to confirm the theoretical results obtained.
Sergio Amat; Juan Ruiz-Álvarez; Chi-Wang Shu; Dionisio F. Yáñez. Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing. Applied Mathematics and Computation 2021, 403, 126131 .
AMA StyleSergio Amat, Juan Ruiz-Álvarez, Chi-Wang Shu, Dionisio F. Yáñez. Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing. Applied Mathematics and Computation. 2021; 403 ():126131.
Chicago/Turabian StyleSergio Amat; Juan Ruiz-Álvarez; Chi-Wang Shu; Dionisio F. Yáñez. 2021. "Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing." Applied Mathematics and Computation 403, no. : 126131.
Multiresolution representations of data are known to be powerful tools in data analysis and processing, and they are particularly interesting for data compression. In order to obtain a proper definition of the edges, a good option is to use nonlinear reconstructions. These nonlinear reconstruction are the heart of the prediction processes which appear in the definition of the nonlinear subdivision and multiresolution schemes. We define and study some nonlinear reconstructions based on the use of nonlinear means, more in concrete the so-called Generalized means. These means have two interesting properties that will allow us to get associated reconstruction operators adapted to the presence of discontinuities, and having the maximum possible order of approximation in smooth areas. Once we have these nonlinear reconstruction operators defined, we can build the related nonlinear subdivision and multiresolution schemes and prove more accurate inequalities regarding the contractivity of the scheme for the first differences and in turn the results about stability. In this paper, we also define a new nonlinear two-dimensional multiresolution scheme as non-separable, i.e., not based on tensor product. We then present the study of the stability issues for the scheme and numerical experiments reinforcing the proven theoretical results and showing the usefulness of the algorithm.
Sergio Amat; Alberto Magreñan; Juan Ruiz; Juan Trillo; Dionisio Yañez. On the Application of the Generalized Means to Construct Multiresolution Schemes Satisfying Certain Inequalities Proving Stability. Mathematics 2021, 9, 533 .
AMA StyleSergio Amat, Alberto Magreñan, Juan Ruiz, Juan Trillo, Dionisio Yañez. On the Application of the Generalized Means to Construct Multiresolution Schemes Satisfying Certain Inequalities Proving Stability. Mathematics. 2021; 9 (5):533.
Chicago/Turabian StyleSergio Amat; Alberto Magreñan; Juan Ruiz; Juan Trillo; Dionisio Yañez. 2021. "On the Application of the Generalized Means to Construct Multiresolution Schemes Satisfying Certain Inequalities Proving Stability." Mathematics 9, no. 5: 533.
Subdivision schemes are widely used in the generation of curves and surfaces, and therefore they are applied in a variety of interesting applications from geological reconstructions of unaccessible regions to cartoon film productions or car and ship manufacturing. In most cases dealing with a convexity preserving subdivision scheme is needed to accurately reproduce the required surfaces. Stability respect to the initial input data is also crucial in applications. The so called PPH nonlinear subdivision scheme is proven to be both convexity preserving and stable. The tighter the stability bound the better controlled is the final output error. In this article a more accurate stability bound is obtained for the nonlinear PPH subdivision scheme for strictly convex data coming from smooth functions. Numerical experiments are included to show the potential applications of the derived theory.
I. Jiménez; P. Ortiz; J. Ruiz; J.C. Trillo; D.F. Yañez. Improving the stability bound for the PPH nonlinear subdivision scheme for data coming from strictly convex functions. Applied Mathematics and Computation 2021, 399, 126042 .
AMA StyleI. Jiménez, P. Ortiz, J. Ruiz, J.C. Trillo, D.F. Yañez. Improving the stability bound for the PPH nonlinear subdivision scheme for data coming from strictly convex functions. Applied Mathematics and Computation. 2021; 399 ():126042.
Chicago/Turabian StyleI. Jiménez; P. Ortiz; J. Ruiz; J.C. Trillo; D.F. Yañez. 2021. "Improving the stability bound for the PPH nonlinear subdivision scheme for data coming from strictly convex functions." Applied Mathematics and Computation 399, no. : 126042.
In this work, a model for the simulation of infectious disease outbreaks including mobility data is presented. The model is based on the SAIR compartmental model and includes mobility data terms that model the flow of people between different regions. The aim of the model is to analyze the influence of mobility on the evolution of a disease after a lockdown period and to study the appearance of small epidemic outbreaks due to the so-called imported cases. We apply the model to the simulation of the COVID-19 in the various areas of Spain, for which the authorities made available mobility data based on the position of cell phones. We also introduce a method for the estimation of incomplete mobility data. Some numerical experiments show the importance of data completion and indicate that the model is able to qualitatively simulate the spread tendencies of small outbreaks. This work was motivated by an open call made to the mathematical community in Spain to help predict the spread of the epidemic.
Francesc Aràndiga; Antonio Baeza; Isabel Cordero-Carrión; Rosa Donat; M. Carmen Martí; Pep Mulet; Dionisio F. Yáñez. A Spatial-Temporal Model for the Evolution of the COVID-19 Pandemic in Spain Including Mobility. Mathematics 2020, 8, 1677 .
AMA StyleFrancesc Aràndiga, Antonio Baeza, Isabel Cordero-Carrión, Rosa Donat, M. Carmen Martí, Pep Mulet, Dionisio F. Yáñez. A Spatial-Temporal Model for the Evolution of the COVID-19 Pandemic in Spain Including Mobility. Mathematics. 2020; 8 (10):1677.
Chicago/Turabian StyleFrancesc Aràndiga; Antonio Baeza; Isabel Cordero-Carrión; Rosa Donat; M. Carmen Martí; Pep Mulet; Dionisio F. Yáñez. 2020. "A Spatial-Temporal Model for the Evolution of the COVID-19 Pandemic in Spain Including Mobility." Mathematics 8, no. 10: 1677.
Educational robotics are commonly present in kindergarten and primary school classrooms, particularly Bee-bot. Its ease of use allows the introduction of computer programming to young children in educational contexts from a science, technology, engineering, arts, and mathematics (STEAM) perspective. Despite this rise, there are still few investigations that collect evidence on the effectiveness of robotic interventions. Although mentoring experiences with robotics had been carried out in educational contexts, this work explores their effect on the acquisition of computational thinking skills through mentoring. Participants from the second grade, aged seven through eight years, were exposed to two sessions of robotics with Bee-bot in order to promote hands-on experimentation. The sessions were conducted by nine students of the fourth grade (the mentors), aged 10 to 11 years. A descriptive case-study methodology was employed for the analysis of the mentoring intervention. The effect of the mentoring experience was assessed in terms of motivation and computational thinking skills. Mixed quantitative and qualitative results show two important findings: (i) Mentoring is a powerful tool to be considered for improvement of the motivation and cooperation of students in their teaching–learning process, and (ii) computational thinking skills can be acquired by second-grade students through a mentoring process.
Núria Cervera; Pascual D. Diago; Lara Orcos; Dionisio F. Yáñez. The Acquisition of Computational Thinking through Mentoring: An Exploratory Study. Education Sciences 2020, 10, 202 .
AMA StyleNúria Cervera, Pascual D. Diago, Lara Orcos, Dionisio F. Yáñez. The Acquisition of Computational Thinking through Mentoring: An Exploratory Study. Education Sciences. 2020; 10 (8):202.
Chicago/Turabian StyleNúria Cervera; Pascual D. Diago; Lara Orcos; Dionisio F. Yáñez. 2020. "The Acquisition of Computational Thinking through Mentoring: An Exploratory Study." Education Sciences 10, no. 8: 202.
In this paper, we extend the rational interpolation introduced by G. Ramponi et al. (1997, 1998, 1996, 1995) to the cell average setting. We propose a new family of non linear interpolation operator. It consists on constructing new approximations using a non linear weighted combination of polynomials of degree 1 or 2 to obtain new interpolations of degree 2 or 4 respectively. New weights are proposed and analyzed. Gibbs phenomenon is studied and some experiments are performed comparing the new methods with classical linear and non linear interpolation as Weighted Essentially Non-Oscillatory (WENO).
Francesc Aràndiga; Dionisio F. Yáñez. Adaptive rational interpolation for cell-average. Applied Mathematics Letters 2020, 107, 106393 .
AMA StyleFrancesc Aràndiga, Dionisio F. Yáñez. Adaptive rational interpolation for cell-average. Applied Mathematics Letters. 2020; 107 ():106393.
Chicago/Turabian StyleFrancesc Aràndiga; Dionisio F. Yáñez. 2020. "Adaptive rational interpolation for cell-average." Applied Mathematics Letters 107, no. : 106393.
The convergence domain for both the local and semilocal case of Newton’s method for Banach space valued operators is small in general. There is a plethora of articles that have extended the convergence criterion due to Kantorovich under variations of the convergence conditions. In this article, we use a different approach than before to increase the convergence domain, and without necessarily using conditions on the inverse of the Fréchet-derivative of the operator involved. Favorable to us applications are given to test the convergence criteria.
I. K. Argyros; Á. A. Magreñán; D. F. Yáñez; J. A. Sicilia. A new technique for studying the convergence of Newton’s solver with real life applications. Journal of Mathematical Chemistry 2020, 58, 816 -830.
AMA StyleI. K. Argyros, Á. A. Magreñán, D. F. Yáñez, J. A. Sicilia. A new technique for studying the convergence of Newton’s solver with real life applications. Journal of Mathematical Chemistry. 2020; 58 (4):816-830.
Chicago/Turabian StyleI. K. Argyros; Á. A. Magreñán; D. F. Yáñez; J. A. Sicilia. 2020. "A new technique for studying the convergence of Newton’s solver with real life applications." Journal of Mathematical Chemistry 58, no. 4: 816-830.
In this paper, the properties of a new family of nonlinear dyadic subdivision schemes are presented and studied depending on the conditions imposed to the mean used to rewrite the linear scheme upon which the new scheme is based. The convergence, stability, and order of approximation of the schemes of the family are analyzed in general. Also, the elimination of the Gibbs oscillations close to discontinuities is proved in particular cases. It is proved that these schemes converge towards limit functions that are Hölder continuous with exponent larger than 1. The results are illustrated with several examples.
Sergio Amat; Juan Ruiz; Juan C. Trillo; Dionisio F. Yáñez. On a family of non-oscillatory subdivision schemes having regularity Cr with r > 1. Numerical Algorithms 2020, 85, 543 -569.
AMA StyleSergio Amat, Juan Ruiz, Juan C. Trillo, Dionisio F. Yáñez. On a family of non-oscillatory subdivision schemes having regularity Cr with r > 1. Numerical Algorithms. 2020; 85 (2):543-569.
Chicago/Turabian StyleSergio Amat; Juan Ruiz; Juan C. Trillo; Dionisio F. Yáñez. 2020. "On a family of non-oscillatory subdivision schemes having regularity Cr with r > 1." Numerical Algorithms 85, no. 2: 543-569.
This paper is devoted to a family of Newton-like methods with frozen derivatives used to approximate a locally unique solution of an equation. We perform a convergence study and an analysis of the efficiency. This analysis gives us the opportunity to select the most efficient method in the family without the necessity of their implementation. The method can be applied to many type of problems, including the discretization of ordinary differential equations, integral equations, integro-differential equations or partial differential equations. Moreover, multi-step iterative methods are computationally attractive.
S. Amat; I. Argyros; S. Busquier; M.A. Hernández-Verón; D.F. Yañez. On the local and semilocal convergence of a parameterized multi-step Newton method. Journal of Computational and Applied Mathematics 2020, 376, 112843 .
AMA StyleS. Amat, I. Argyros, S. Busquier, M.A. Hernández-Verón, D.F. Yañez. On the local and semilocal convergence of a parameterized multi-step Newton method. Journal of Computational and Applied Mathematics. 2020; 376 ():112843.
Chicago/Turabian StyleS. Amat; I. Argyros; S. Busquier; M.A. Hernández-Verón; D.F. Yañez. 2020. "On the local and semilocal convergence of a parameterized multi-step Newton method." Journal of Computational and Applied Mathematics 376, no. : 112843.
Nowadays, Augmented Reality (AR) is one of the emerging technologies with a greater impact in the Education field. Research has proved that AR-based activities improve the teaching and learning processes. Also, the use of this type of technology in classroom facilitates the understanding of contents from different areas as Arts, Mathematics or Science. In this work we propose an AR-based instruction in order to explore the benefits in a 6th-grade Primary course related to 3D-geometry shapes. This first experiment, designed from an exploratory approach, will shed light on new study variables to perform new implementations whose conclusions become more consistent. The results obtained allow us to envisage that AR-based proposals slightly improve the classical didactic methods.
Míriam Flores-Bascuñana; Pascual D. Diago; Rafael Villena-Taranilla; Dionisio F. Yáñez. On Augmented Reality for the Learning of 3D-Geometric Contents: A Preliminary Exploratory Study with 6-Grade Primary Students. Education Sciences 2019, 10, 4 .
AMA StyleMíriam Flores-Bascuñana, Pascual D. Diago, Rafael Villena-Taranilla, Dionisio F. Yáñez. On Augmented Reality for the Learning of 3D-Geometric Contents: A Preliminary Exploratory Study with 6-Grade Primary Students. Education Sciences. 2019; 10 (1):4.
Chicago/Turabian StyleMíriam Flores-Bascuñana; Pascual D. Diago; Rafael Villena-Taranilla; Dionisio F. Yáñez. 2019. "On Augmented Reality for the Learning of 3D-Geometric Contents: A Preliminary Exploratory Study with 6-Grade Primary Students." Education Sciences 10, no. 1: 4.
In this paper we design a family of cell-average nonlinear prediction operators that make use of the generalized harmonic means and we apply the resulting schemes to image processing. The new family of nonlinear schemes conserve the numerical properties of the linear schemes, such as the L1-stability, the order of accuracy or compression rate but avoiding Gibbs phenomenon close to the discontinuities. The generalized harmonic mean was introduced in the framework of point-values in [13] in order to improve the results of the harmonic mean. However, in the cell-average setting our conclusion is that, from a numerical point of view, the advantage of using the new mean is not clear.
S. Amat; A. A. Magre Nán; J. Ruiz; J. C. Trillo; Dionisio F. Yáñez. On the use of generalized harmonic means in image processing using multiresolution algorithms. International Journal of Computer Mathematics 2019, 97, 455 -466.
AMA StyleS. Amat, A. A. Magre Nán, J. Ruiz, J. C. Trillo, Dionisio F. Yáñez. On the use of generalized harmonic means in image processing using multiresolution algorithms. International Journal of Computer Mathematics. 2019; 97 (1-2):455-466.
Chicago/Turabian StyleS. Amat; A. A. Magre Nán; J. Ruiz; J. C. Trillo; Dionisio F. Yáñez. 2019. "On the use of generalized harmonic means in image processing using multiresolution algorithms." International Journal of Computer Mathematics 97, no. 1-2: 455-466.
The Chaikin’s scheme presents the interesting property of not producing Gibbs phenomenon. The problem arises when we need a scheme that provides a higher order of approximation. In this case linear schemes are not a good option, as they produce Gibbs phenomenon close to discontinuities. In this article a new four-point nonlinear family of subdivision schemes that eliminate the Gibbs phenomenon is presented. It is based on the linear family of four-point subdivision schemes depending on a tension parameter introduced in Dyn et al. (2005). A simple algebraic transformation leads to an easy way of introducing nonlinearity in the original family of schemes. The non-interpolatory characteristic of the nonlinear scheme can be modulated just varying the value of the tension parameter. Results about the stability, convergence and the elimination of the Gibbs phenomenon are presented. Some numerical comparisons of the results obtained in the generation of curves are also shown, leading to the conclusion that the high order nonlinear schemes are more suitable for this purpose.
Sergio Amat; Juan Ruiz; J. Carlos Trillo; Dionisio F. Yáñez. On a stable family of four-point nonlinear subdivision schemes eliminating the Gibbs phenomenon. Journal of Computational and Applied Mathematics 2019, 354, 310 -325.
AMA StyleSergio Amat, Juan Ruiz, J. Carlos Trillo, Dionisio F. Yáñez. On a stable family of four-point nonlinear subdivision schemes eliminating the Gibbs phenomenon. Journal of Computational and Applied Mathematics. 2019; 354 ():310-325.
Chicago/Turabian StyleSergio Amat; Juan Ruiz; J. Carlos Trillo; Dionisio F. Yáñez. 2019. "On a stable family of four-point nonlinear subdivision schemes eliminating the Gibbs phenomenon." Journal of Computational and Applied Mathematics 354, no. : 310-325.
This paper is devoted to the construction and analysis of some new nonlinear subdivision and multiresolution schemes using the Lehmer means. Our main objective is to attain adaption close to discontinuities. We present theoretical, numerical results and applications for different schemes. The main theoretical result is related to the four point interpolatory scheme, that we write as a perturbation of a linear scheme. Our aim is to establish a one step contraction property that allows to prove the stability of the new scheme. Indeed with a one step contraction property for the scheme of differences it is possible to prove the stability of the 2D algorithm constructed using a tensor product approach. In this article we also consider the associated three points cell-average scheme, that we will use to present some results for image compression, and a noninterpolatory scheme, that we will use to introduce an application to subdivision curves in 2D. These applications show that the use of the Lehmer mean is suitable for the design of subdivision schemes for the generation of curves and for image processing.
Sergio Amat; Ángel A. Magreñán; Juan Ruiz; Juan C. Trillo; Dionisio F. Yáñez. On the application of Lehmer means in signal and image processing. International Journal of Computer Mathematics 2019, 97, 1503 -1528.
AMA StyleSergio Amat, Ángel A. Magreñán, Juan Ruiz, Juan C. Trillo, Dionisio F. Yáñez. On the application of Lehmer means in signal and image processing. International Journal of Computer Mathematics. 2019; 97 (7):1503-1528.
Chicago/Turabian StyleSergio Amat; Ángel A. Magreñán; Juan Ruiz; Juan C. Trillo; Dionisio F. Yáñez. 2019. "On the application of Lehmer means in signal and image processing." International Journal of Computer Mathematics 97, no. 7: 1503-1528.
Monotonicity-preserving interpolants are used in several applications as engineering or computer aided design. In last years some new techniques have been developed. In particular, in Aràndiga (2013) some new methods to design monotone cubic Hermite interpolants for uniform and non-uniform grids are presented and analyzed. They consist on calculating the derivative values introducing the weighted harmonic mean and a non-linear variation. With these changes, the methods obtained are third-order accurate, except in extreme situations. In this paper, a new general mean is used and a third-order interpolant for all cases is gained. We perform several experiments comparing the known techniques as the method proposed by Fritsch and Butland using the Brodlie’s function, PCHIP program of Matlab (Moler, 2004; Wolberg and Alfy, 2002) with the new algorithm.
Francesc Aràndiga; Dionisio F. Yáñez. Third-order accurate monotone cubic Hermite interpolants. Applied Mathematics Letters 2019, 94, 73 -79.
AMA StyleFrancesc Aràndiga, Dionisio F. Yáñez. Third-order accurate monotone cubic Hermite interpolants. Applied Mathematics Letters. 2019; 94 ():73-79.
Chicago/Turabian StyleFrancesc Aràndiga; Dionisio F. Yáñez. 2019. "Third-order accurate monotone cubic Hermite interpolants." Applied Mathematics Letters 94, no. : 73-79.
Una de las finalidades de la enseñanza de las matemáticas en Educación Infantil es fomentar el pensamiento lógico, la creatividad y la capacidad para resolver problemas de los estudiantes. Entre las actividades escolares propias de estas edades es habitual encontrar tareas de identificación y continuación de patrones lineales de repetición. Esta actividad puede ser estudiada desde un contexto de resolución de problemas en el que el estudiante debe discriminar la información superflua de aquella que le permite obtener la regla de generación de la serie y resolver la tarea. Diferentes variables como la longitud del núcleo de repetición, el número de descriptores, su naturaleza o la aparición de distractores permiten establecer diferentes grados de complejidad en la tarea. Nuestro objetivo es explorar qué factores relacionados con la complejidad del patrón influyen en la dificultad experimentada por estudiantes de cinco años de Educación Infantil al abordar este tipo de problemas. Los resultados obtenidos nos indican que factores como la aparición de distractores o la repetición de atributos en el núcleo del patrón afectan significativamente a la tasa de éxito, mientras que otros como la longitud del núcleo o el tipo de descriptor, no ofrecen diferencias significativas.
Dionisio Félix Yáñez; Pascual D. Diago; David Arnau. Relación entre complejidad y dificultad en tareas con patrones lineales reiterativos en estudiantes de 5 años. Revista de Educación de la Universidad de Granada 2018, 25, 299 .
AMA StyleDionisio Félix Yáñez, Pascual D. Diago, David Arnau. Relación entre complejidad y dificultad en tareas con patrones lineales reiterativos en estudiantes de 5 años. Revista de Educación de la Universidad de Granada. 2018; 25 ():299.
Chicago/Turabian StyleDionisio Félix Yáñez; Pascual D. Diago; David Arnau. 2018. "Relación entre complejidad y dificultad en tareas con patrones lineales reiterativos en estudiantes de 5 años." Revista de Educación de la Universidad de Granada 25, no. : 299.
In this work we introduce and analyze a new nonlinear subdivision scheme based on a nonlinear blending between Chaikin’s subdivision rules and the linear 3-cell subdivision scheme. Our scheme seeks to improve the lack of convergence in the uniform metric of the nonlinear scheme proposed in Amat et al. (2012), where the authors define a cell-average version of the PPH subdivision scheme Amat et al. (2006). The properties of the new scheme are analyzed and its performance illustrated through numerical examples.
Rosa Donat; Dionisio F. Yáñez. A nonlinear Chaikin-based binary subdivision scheme. Journal of Computational and Applied Mathematics 2018, 349, 379 -389.
AMA StyleRosa Donat, Dionisio F. Yáñez. A nonlinear Chaikin-based binary subdivision scheme. Journal of Computational and Applied Mathematics. 2018; 349 ():379-389.
Chicago/Turabian StyleRosa Donat; Dionisio F. Yáñez. 2018. "A nonlinear Chaikin-based binary subdivision scheme." Journal of Computational and Applied Mathematics 349, no. : 379-389.
Sergio Amat; Juan Ruiz; J. Carlos Trillo; Dionisio F. Yáñez. Analysis of the Gibbs phenomenon in stationary subdivision schemes. Applied Mathematics Letters 2018, 76, 157 -163.
AMA StyleSergio Amat, Juan Ruiz, J. Carlos Trillo, Dionisio F. Yáñez. Analysis of the Gibbs phenomenon in stationary subdivision schemes. Applied Mathematics Letters. 2018; 76 ():157-163.
Chicago/Turabian StyleSergio Amat; Juan Ruiz; J. Carlos Trillo; Dionisio F. Yáñez. 2018. "Analysis of the Gibbs phenomenon in stationary subdivision schemes." Applied Mathematics Letters 76, no. : 157-163.
Francesc Aràndiga; Dionisio F. Yáñez. Non-separable local polynomial regression cell-average multiresolution operators. Application to compression of images. Journal of the Franklin Institute 2016, 353, 670 -687.
AMA StyleFrancesc Aràndiga, Dionisio F. Yáñez. Non-separable local polynomial regression cell-average multiresolution operators. Application to compression of images. Journal of the Franklin Institute. 2016; 353 (3):670-687.
Chicago/Turabian StyleFrancesc Aràndiga; Dionisio F. Yáñez. 2016. "Non-separable local polynomial regression cell-average multiresolution operators. Application to compression of images." Journal of the Franklin Institute 353, no. 3: 670-687.