Ecuaciones Diferenciales y Análisis Numérico
ECUDIFA
North Carolina State University
Raleigh, Estados UnidosPublications in collaboration with researchers from North Carolina State University (7)
2024
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A Stable FE-FD Method for Anisotropic Parabolic PDEs with Moving Interfaces
Communications on Applied Mathematics and Computation, Vol. 6, Núm. 2, pp. 992-1012
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Fully accurate approximation of piecewise smooth functions using corrected B-spline quasi-interpolants
Computational and Applied Mathematics, Vol. 43, Núm. 4
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Stable high order FD methods for interface and internal layer problems based on non-matching grids
Numerical Algorithms, Vol. 96, Núm. 4, pp. 1647-1674
2023
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Adapting Cubic Hermite Splines to the Presence of Singularities Through Correction Terms
Journal of Scientific Computing, Vol. 95, Núm. 3
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Numerical integration rules with improved accuracy close to discontinuities
Mathematics and Computers in Simulation, Vol. 210, pp. 593-614
2018
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On an New Algorithm for Function Approximation with Full Accuracy in the Presence of Discontinuities Based on the Immersed Interface Method
Journal of Scientific Computing, Vol. 75, Núm. 3, pp. 1500-1534
2015
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The immersed interface method for axis-symmetric problems and application to the Hele-Shaw flow
Applied Mathematics and Computation, Vol. 264, pp. 179-197