On a class of L1-stable nonlinear cell-average multiresolution schemes. - Sergio Amat; Karine Dadourian; Jacques Liandrat; Juan Ruiz 001; Juan Carlos Trillo (J. Comput. Appl. Math., 2010)

A family of stable nonlinear nonseparable multiresolution schemes in 2D. - Sergio Amat; Karine Dadourian; Jacques Liandrat; Juan Ruiz 001; Juan Carlos Trillo (J. Comput. Appl. Math., 2010)

Fast Multiresolution Algorithms and Their Related Variational Problems for Image Denoising. - Sergio Amat; Juan Ruiz 001; Juan Carlos Trillo (J. Sci. Comput., 2010)

The IIM in polar coordinates and its application to electro capacitance tomography problems. - Juan Ruiz-Álvarez 001; Jinru Chen; Zhilin Li 002 (Numer. Algorithms, 2011)

On a compact non-extrapolating scheme for adaptive image interpolation. - Sergio Amat; Jacques Liandrat; Juan Ruiz 001; Juan Carlos Trillo (J. Frankl. Inst., 2012)

Adaptive interpolation of images using a new nonlinear cell-average scheme. - Sergio Amat; Juan Ruiz 001; Juan Carlos Trillo (Math. Comput. Simul., 2012)

Reciprocal polynomial extrapolation vs Richardson extrapolation for singular perturbed boundary problems. - Sergio Amat; Sonia Busquier; María José Legaz; Fernando Manzano; Juan Ruiz 001 (Numer. Algorithms, 2012)

Improving the compression rate versus L 1 error ratio in cell-average error control algorithms. - Sergio Amat; Juan Ruiz 001; Juan Carlos Trillo (Numer. Algorithms, 2014)

The immersed interface method for axis-symmetric problems and application to the Hele-Shaw flow. - Juan Ruiz-Álvarez 001; Zhilin Li 002 (Appl. Math. Comput., 2015)

Unifying the Classical Approach with New Technologies: An Innovative Proposal for Teaching Mathematics in Engineering. - Sergio Amat; Sonia Busquier; María José Legaz; Juan Ruiz 001 (Int. J. Interact. Multim. Artif. Intell., 2015)

On a family of nonlinear cell-average multiresolution schemes for image processing: An experimental study. - Sergio Amat; Jacques Liandrat; Juan Ruiz 001; Juan Carlos Trillo (Math. Comput. Simul., 2015)

On a nonlinear mean and its application to image compression using multiresolution schemes. - Sergio Amat; Jacques Liandrat; Juan Ruiz 001; Juan Carlos Trillo (Numer. Algorithms, 2016)

New WENO Smoothness Indicators Computationally Efficient in the Presence of Corner Discontinuities. - Sergio Amat; Juan Ruiz 001 (J. Sci. Comput., 2017)

On a Power WENO Scheme with Improved Accuracy Near Discontinuities. - Sergio Amat; Jacques Liandrat; Juan Ruiz 001; Juan Carlos Trillo (SIAM J. Sci. Comput., 2017)

On a nonlinear 4-point ternary and non-interpolatory subdivision scheme eliminating the Gibbs phenomenon. - Sergio Amat; A. Choutri; Juan Ruiz 001; Sofiane Zouaoui (Appl. Math. Comput., 2018)

Analysis of the Gibbs phenomenon in stationary subdivision schemes. - Sergio Amat; Juan Ruiz 001; Juan Carlos Trillo; Dionisio F. Yáñez (Appl. Math. Lett., 2018)

On an New Algorithm for Function Approximation with Full Accuracy in the Presence of Discontinuities Based on the Immersed Interface Method. - Sergio Amat; Zhilin Li 002; Juan Ruiz 001 (J. Sci. Comput., 2018)

On a class of three points cell-average multiresolution schemes. - Sergio Amat; Jacques Liandrat; María Moncayo; Juan Ruiz 001; Juan Carlos Trillo (Math. Comput. Simul., 2018)

N-dimensional error control multiresolution algorithms for the cell average discretization. - Juan Ruiz 001; Juan Carlos Trillo (Math. Comput. Simul., 2018)

On a stable family of four-point nonlinear subdivision schemes eliminating the Gibbs phenomenon. - Sergio Amat; Juan Ruiz 001; Juan Carlos Trillo; Dionisio F. Yáñez (J. Comput. Appl. Math., 2019)

On an algorithm to adapt spline approximations to the presence of discontinuities. - Sergio Amat; Juan Ruiz 001; Juan Carlos Trillo (Numer. Algorithms, 2019)

On New Strategies to Control the Accuracy of WENO Algorithms Close to Discontinuities. - Sergio Amat; Juan Ruiz 001; Chi-Wang Shu (SIAM J. Numer. Anal., 2019)

On a new WENO algorithm of order 2r with improved accuracy close to discontinuities. - Sergio Amat; Juan Ruiz 001; Chi-Wang Shu (Appl. Math. Lett., 2020)

Corrected approximation strategy for piecewise smooth bivariate functions. - Sergio Amat; David Levin; Juan Ruiz-Álvarez 001 (CoRR, 2020)

Corrected subdivision approximation of piecewise smooth functions. - Sergio Amat; David Levin; Juan Ruiz-Álvarez 001 (CoRR, 2020)

On the use of generalized harmonic means in image processing using multiresolution algorithms. - Sergio Amat; Ángel Alberto Magreñán; Juan Ruiz 001; Juan Carlos Trillo; Dionisio F. Yáñez (Int. J. Comput. Math., 2020)

On the application of Lehmer means in signal and image processing. - Sergio Amat; Ángel Alberto Magreñán; Juan Ruiz 001; Juan Carlos Trillo; Dionisio F. Yáñez (Int. J. Comput. Math., 2020)

N-dimensional error control multiresolution algorithms for the point value discretization. - J. García; J. A. Padilla; Juan Ruiz 001; Juan Carlos Trillo (Math. Comput. Simul., 2020)

On a family of non-oscillatory subdivision schemes having regularity Cr with r > 1. - Sergio Amat; Juan Ruiz 001; Juan Carlos Trillo; Dionisio F. Yáñez (Numer. Algorithms, 2020)

A New WENO-2r Algorithm with Progressive Order of Accuracy Close to Discontinuities. - Sergio Amat; Juan Ruiz 001; Chi-Wang Shu; Dionisio F. Yáñez (SIAM J. Numer. Anal., 2020)

Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing. - Sergio Amat; Juan Ruiz-Álvarez 001; Chi-Wang Shu; Dionisio F. Yáñez (Appl. Math. Comput., 2021)

Improving the stability bound for the PPH nonlinear subdivision scheme for data coming from strictly convex functions. - Isabel Jiménez; Pedro Ortiz; Juan Ruiz 001; Juan Carlos Trillo; Dionisio F. Yáñez (Appl. Math. Comput., 2021)

Convergence study of IB methods for Stokes equations with non-periodic boundary conditions. - Zhilin Li 002; Juan Ruiz-Álvarez 001 (CoRR, 2021)

Explicit multivariate approximations from cell-average data. - Sergio Amat; David Levin; Juan Ruiz-Álvarez 001; Dionisio F. Yáñez (Adv. Comput. Math., 2022)

Global and explicit approximation of piecewise smooth 2D functions from cell-average data. - Sergio Amat; David Levin; Juan Ruiz-Álvarez 001; Dionisio F. Yáñez (CoRR, 2022)

A nonlinear PPH-type reconstruction based on equilateral triangles. - Sergio Amat; Pedro Ortiz; Juan Ruiz 001; Juan Carlos Trillo; Dionisio F. Yáñez (CoRR, 2022)

Geometric representation of the weighted harmonic mean of n positive values and potential uses. - Sergio Amat; P. Ortiz; Juan Ruiz 001; Juan Carlos Trillo; Dionisio F. Yáñez (CoRR, 2022)

High order two-grid finite difference methods for interface and internal layer problems. - Zhilin Li 002; Kejia Pan; Juan Ruiz-Álvarez 001 (CoRR, 2022)

Numerical integration rules with improved accuracy close to singularities. - Sergio Amat; Zhilin Li 002; Juan Ruiz-Álvarez 001; Concepcion Solano; Juan Carlos Trillo (CoRR, 2022)

A class of C2 quasi-interpolating splines free of Gibbs phenomenon. - Sergio Amat; David Levin; Juan Ruiz-Álvarez 001; Juan Carlos Trillo; Dionisio F. Yáñez (Numer. Algorithms, 2022)

On the approximation of derivative values using a WENO algorithm with progressive order of accuracy close to discontinuities. - Sergio Amat; Juan Ruiz-Álvarez 001; Chi-Wang Shu; Dionisio F. Yáñez (Comput. Appl. Math., 2022)

Numerical integration rules with improved accuracy close to discontinuities. - Sergio Amat; Zhilin Li 002; Juan Ruiz-Álvarez 001; Concepcion Solano; Juan Carlos Trillo (Math. Comput. Simul., 2023)

The translation operator. Applications to nonlinear reconstruction operators on nonuniform grids. - Sergio Amat; Pedro Ortiz; Juan Ruiz 001; Juan Carlos Trillo; Dionisio F. Yáñez (Math. Comput. Simul., 2023)

A new family of means: the generalized weighted power means and applications. - Sergio Amat; Isabel Jiménez; Juan Ruiz 001; Juan Carlos Trillo; Dionisio F. Yáñez (Int. J. Comput. Math., 2023)

Adapting Cubic Hermite Splines to the Presence of Singularities Through Correction Terms. - Sergio Amat; Zhilin Li 002; Juan Ruiz-Álvarez 001; Concepcion Solano; Juan Carlos Trillo (J. Sci. Comput., 2023)

A new B-spline type approximation method for non-smooth functions. - Sergio Amat; David Levin; Juan Ruiz-Álvarez 001; Dionisio F. Yáñez (Appl. Math. Lett., 2023)

Fully accurate approximation of piecewise smooth functions using corrected B-spline quasi-interpolants. - Zhilin Li 002; Kejia Pan; Juan Ruiz 001; Dionisio F. Yáñez (Comput. Appl. Math., 2024)

A non-separable progressive multivariate WENO-2r point value. - Pep Mulet; Juan Ruiz-Álvarez 001; Chi-Wang Shu; Dionisio F. Yáñez (CoRR, 2024)

Weighted Essentially Non-Oscillatory Shepard method. - David Levin; José M. Ramón; Juan Ruiz-Álvarez 001; Dionisio F. Yáñez (CoRR, 2024)

Data dependent Moving Least Squares. - David Levin; José M. Ramón; Juan Ruiz-Álvarez 001; Dionisio F. Yáñez (CoRR, 2024)

Stable high order FD methods for interface and internal layer problems based on non-matching grids. - Zhilin Li 002; Kejia Pan; Juan Ruiz-Álvarez 001 (Numer. Algorithms, 2024)

A general correction for numerical integration rules over piece-wise continuous functions. - Shipra Mahata; Samala Rathan; Juan Ruiz-Álvarez 001; Dionisio F. Yáñez (J. Comput. Appl. Math., 2025)

Integrating Moving Least Squares with non-linear WENO method: A novel Partition of Unity approach in 1D. - Inmaculada Garcés; José M. Ramón; Juan Ruiz-Álvarez 001; Dionisio F. Yáñez (CoRR, 2025)

Non-linear WENO B-spline based approximation method. - Sergio Amat; David Levin; Juan Ruiz-Álvarez 001; Dionisio F. Yáñez (Numer. Algorithms, 2025)

Non-linear Partition of Unity method. - José M. Ramón; Juan Ruiz 001; Dionisio F. Yáñez (J. Comput. Appl. Math., 2026)