3 papers
math.NA2026
A Cell-Average Non-Separable Progressive Multivariate WENO Method for Image Processing Applications
Inmaculada Garcés, Pep Mulet, Juan Ruiz-Ãlvarez +2
Accurate and efficient reconstruction techniques are essential in multiresolution analysis and image compression, particularly when the data are represented as cell averages. In th…
math.NA2026
Multivariate Data-dependent Partition of Unity based on Moving Least Squares method
Inmaculada Garcés, Juan Ruiz-Ãlvarez, Dionisio F. Yáñez
Data approximation is essential in fields such as geometric design, numerical PDEs, and curve modeling. Moving Least Squares (MLS) is a widely used method for data fitting; however…
math.NA2025
Integrating Moving Least Squares with non-linear WENO method: A novel Partition of Unity approach in 1D
Inmaculada Garcés, José M. Ramón, Juan Ruiz-Ãlvarez +1
The approximation of data is a fundamental challenge encountered in various fields, including computer-aided geometric design, the numerical solution of partial differential equati…