A Stable Algorithm for Flat Radial Basis Functions on a Sphere. - Bengt Fornberg; Cécile Piret (SIAM J. Sci. Comput., 2007)

On choosing a radial basis function and a shape parameter when solving a convective PDE on a sphere. - Bengt Fornberg; Cécile Piret (J. Comput. Phys., 2008)

Modeling of tsunami waves and atmospheric swirling flows with graphics processing unit (GPU) and radial basis functions (RBF). - Jessica Schmidt; Cécile Piret; Nan Zhang; Benjamin J. Kadlec; David A. Yuen; Yingchun Liu; Grady Barrett Wright; Erik O. D. Sevre (Concurr. Comput. Pract. Exp., 2010)

Mesh and CAD Repair Based on Parametrizations with Radial Basis Functions. - Cécile Piret; Jean-François Remacle; Emilie Marchandise (IMR, 2011)

CAD and mesh repair with Radial Basis Functions. - Emilie Marchandise; Cécile Piret; Jean-François Remacle (J. Comput. Phys., 2012)

The orthogonal gradients method: A radial basis functions method for solving partial differential equations on arbitrary surfaces. - Cécile Piret (J. Comput. Phys., 2012)

A radial basis functions method for fractional diffusion equations. - Cécile Piret; Emmanuel Hanert (J. Comput. Phys., 2013)

A Chebyshev PseudoSpectral Method to Solve the Space-Time Tempered Fractional Diffusion Equation. - Emmanuel Hanert; Cécile Piret (SIAM J. Sci. Comput., 2014)

A Radial Basis Function based Frames Strategy for Bypassing the Runge Phenomenon. - Cécile Piret (SIAM J. Sci. Comput., 2016)

A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces. - Argyrios Petras; Leevan Ling; Cécile Piret; Steven J. Ruuth (J. Comput. Phys., 2019)

Computation of Fractional Derivatives of Analytic Functions. - Bengt Fornberg; Cécile Piret (J. Sci. Comput., 2023)

Stable and Accurate Least Squares Radial Basis Function Approximations on Bounded Domains. - Ben Adcock; Daan Huybrechs; Cécile Piret (SIAM J. Numer. Anal., 2024)

A Meshfree RBF-FD Constant along Normal Method for Solving PDEs on Surfaces. - Victor Bayona; Argyrios Petras; Cécile Piret; Steven J. Ruuth (SIAM J. Sci. Comput., 2024)