Publikationen in Zusammenarbeit mit Forschern von North Carolina State University (7)

2024

  1. 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

  2. Fully accurate approximation of piecewise smooth functions using corrected B-spline quasi-interpolants

    Computational and Applied Mathematics, Vol. 43, Núm. 4

  3. 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

  1. Adapting Cubic Hermite Splines to the Presence of Singularities Through Correction Terms

    Journal of Scientific Computing, Vol. 95, Núm. 3

  2. Numerical integration rules with improved accuracy close to discontinuities

    Mathematics and Computers in Simulation, Vol. 210, pp. 593-614

2018

  1. 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

  1. The immersed interface method for axis-symmetric problems and application to the Hele-Shaw flow

    Applied Mathematics and Computation, Vol. 264, pp. 179-197