Sergio Amat

Multiplicity results for the generalized extensible beam equations with concave–convex nonlinearities

Hayat Rezgui, Abdelkader Hakim Benhana, Sergio Amat, Abdelaziz Choutri

In this paper, we deal with the generalized extensible beam equation of the form {Δ2u−M(‖∇u‖Lpp)Δpu+μW(x)u=h(x,u)+βg(x)|u|ν−2u,x∈RN,u∈H2(RN).Δ2:=Δ(Δ) is the biharmonic operator, N is an integer such that N>4 and M(t)=atδ+b with a, b, δ>0, W and h satisfy suitable conditions stated later. Unlike existing …

Algérie, es (code pays fourni par la source)

On a nonlinear version of Lane-Riesenfeld's subdivision schemes converging to piecewise smooth functions preserving high regularity

Sergio Amat, Sonia Busquier, David Levin, Juan Ruiz et autres

Lane-Riesenfeld's subdivision schemes provide a versatile tool for generating smooth and detailed curves and surfaces, making them valuable assets in computer graphics and geometric modeling. These schemes offer flexibility in controlling the regularity of the limit function by adjusting some parameters. In …

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Non-linear subdivision schemes: 25 years of history through 75 contributions

Sergio Amat, Sonia Busquier Sáez, David Bernard Levin, J. Carlos Trillo

Subdivision schemes are a very useful tool in computer graphics and geometric modelling, allowing for the generation of curves and smooth surfaces starting from discrete data. Even though linear subdivision schemes are used profusely, non-linear schemes offer more flexibility, allowing for the …

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Algorithm-Based Real-Time Analysis of Heart Rate Measures in HIIT Training: An Automated Approach

Sergio Amat, Sonia Busquier, Carlos D. Gómez‐Carmona, Manuel Gómez López et autres

High-intensity interval training (HIIT) is widely used in sports and health due to its cardiovascular and metabolic benefits, requiring accurate monitoring of heart rate variations to assess performance. This study proposes an automated algorithm to identify key heart rate parameters in real …

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Algorithm-Based Real-Time Analysis of Training Phases in Competitive Canoeing: An Automated Approach for Performance Monitoring

Sergio Amat, Sonia Busquier, Carlos D. Gómez‐Carmona, Manuel Gómez López et autres

The increasing demands in high-performance sports have led to the integration of technological solutions for training optimization. This study aimed to develop and validate an algorithm-based system for analyzing three critical phases in canoe training: initial acceleration, steady-state cruising, and final sprint. …

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On the convergence of WENO schemes for scalar hyperbolic conservation laws

Sergio Amat, Sonia Busquier, Juan Ruiz

Abstract WENO schemes are high order accurate shock capturing methods for hyperbolic conservation laws. In this paper theoretical stability properties are presented. In fact, we prove, assuming some reasonable hypotheses from a practical point of view, that the numerical flux is Lipschitz …

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Algorithm-Based Real-Time Analysis of Heart Rate Measures in HIIT Training: An Automated Approach

Sergio Amat, Sonia Busquier, Carlos D. Gómez‐Carmona, Manuel Gómez López et autres

High-Intensity Interval Training (HIIT) is widely used in sports and health due to its cardiovascular and metabolic benefits, requiring accurate monitoring of heart rate variations to assess performance. This study proposes an automated algorithm to identify key heart rate parameters in real …

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Algorithm-Based Real-Time Analysis of Training Phases in Competitive Canoeing: An Automated Approach for Performance Monitoring

Sergio Amat, Sonia Busquier, Carlos D. Gómez‐Carmona, Manuel Gómez López et autres

The increasing demands in high-performance sports have led to the integration of technological solutions for training optimization. This study aimed to develop and validate an algorithm-based system for analyzing three critical phases in canoe training: initial acceleration, steady-state cruising, and final sprint. …

Esquemas de subdivisión no lineales: 25 años de historia a través de 75 contribuciones

Sergio Amat, Sonia Busquier, David Levin, J. Carlos Trillo

RESUMEN Los esquemas de subdivisión son una herramienta muy utilizada en gráficos por computadora y modelado geométrico, permitiendo la generación de curvas y superficies suaves a partir de datos discretos. Aunque los esquemas de subdivisión lineales son muy utilizados, los esquemas no …

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On an Incremental Version of the Chebyshev Method for the Matrix $p$-th Root

Sergio Amat, Sonia Busquier, J.A. Ezquerro

The aim of this paper is to present an improvement of the incremental Newton method proposed by Iannazzo [SIAM J. Matrix Anal. Appl., 28:2 (2006), 503–523] for approximating the principal $p$-th root of a matrix. We construct and analyze an incremental Chebyshev …

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Non-linear WENO B-spline based approximation method

Sergio Amat, David Levin, Juan Ruiz, Dionisio F. Yáñez

Abstract In this work, we present a new WENO B-spline-based quasi-interpolation algorithm. The novelty of this construction resides in the application of the WENO weights to the B-spline functions, that form a partition of unity, instead of the coefficients that multiply the …

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Detection, Measurement and Classification of Discontinuities of Signals Captured with Noise

Sergio Amat, Sonia Busquier, Denys Orieshkin

In this work, we propose an algorithm for the detection, measurement and classification of discontinuities in signals captured with noise. Our approach is based on the Harten’s subcell-resolution approximation adapted to the presence of noise. This technique has several advantages over other …

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