Asymptotic upper bounds for the coefficients in the Chebyshev series expansion for a general order integral of a function. - Natasha Flyer (Math. Comput., 1998)

The Convergence of Spectral and Finite Difference Methods for Initial-Boundary Value Problems. - Natasha Flyer; Paul N. Swarztrauber (SIAM J. Sci. Comput., 2002)

On the Nature of Initial-Boundary Value Solutions for Dispersive Equations. - Bengt Fornberg; Natasha Flyer (SIAM J. Appl. Math., 2004)

Accuracy of radial basis function interpolation and derivative approximations on 1-D infinite grids. - Bengt Fornberg; Natasha Flyer (Adv. Comput. Math., 2005)

Exact polynomial reproduction for oscillatory radial basis functions on infinite lattices. - Natasha Flyer (Comput. Math. Appl., 2006)

Transport schemes on a sphere using radial basis functions. - Natasha Flyer; Grady B. Wright (J. Comput. Phys., 2007)

Rotational transport on a sphere: Local node refinement with radial basis functions. - Natasha Flyer; Erik Lehto (J. Comput. Phys., 2010)

Stable Computations with Gaussian Radial Basis Functions. - Bengt Fornberg; Elisabeth Larsson; Natasha Flyer (SIAM J. Sci. Comput., 2011)

Solution to PDEs using radial basis function finite-differences (RBF-FD) on multiple GPUs. - Evan F. Bollig; Natasha Flyer; Gordon Erlebacher (J. Comput. Phys., 2012)

A guide to RBF-generated finite differences for nonlinear transport: Shallow water simulations on a sphere. - Natasha Flyer; Erik Lehto; Sébastien Blaise; Grady B. Wright; Amik St.-Cyr (J. Comput. Phys., 2012)

Acceleration of derivative calculations with application to radial basis function: finite-differences on the intel mic architecture. - Gordon Erlebacher; Erik Saule; Natasha Flyer; Evan F. Bollig (ICS, 2014)

A primer on radial basis functions with applications to the geosciences. - Bengt Fornberg; Natasha Flyer (SIAM, 2015)

Solving PDEs with radial basis functions. - Bengt Fornberg; Natasha Flyer (Acta Numer., 2015)

Fast generation of 2-D node distributions for mesh-free PDE discretizations. - Bengt Fornberg; Natasha Flyer (Comput. Math. Appl., 2015)

A scalable RBF-FD method for atmospheric flow. - Martin Tillenius; Elisabeth Larsson; Erik Lehto; Natasha Flyer (J. Comput. Phys., 2015)

Enhancing finite differences with radial basis functions: Experiments on the Navier-Stokes equations. - Natasha Flyer; Gregory A. Barnett; Louis J. Wicker (J. Comput. Phys., 2016)

On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy. - Natasha Flyer; Bengt Fornberg; Victor Bayona; Gregory A. Barnett (J. Comput. Phys., 2016)

On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs. - Victor Bayona; Natasha Flyer; Bengt Fornberg; Gregory A. Barnett (J. Comput. Phys., 2017)

Fast high-dimensional node generation with variable density. - Oleksandr Vlasiuk; Timothy Michaels; Natasha Flyer; Bengt Fornberg (Comput. Math. Appl., 2018)

On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains. - Matthew J. Colbrook; Natasha Flyer; Bengt Fornberg (J. Comput. Phys., 2018)

Implementation of a scalable, performance portable shallow water equation solver using radial basis function-generated finite difference methods. - Samuel Elliott; Raghu Raj Prasanna Kumar; Natasha Flyer; Tuan Ta; Richard Loft (Int. J. High Perform. Comput. Appl., 2019)

On the role of polynomials in RBF-FD approximations: III. Behavior near domain boundaries. - Victor Bayona; Natasha Flyer; Bengt Fornberg (J. Comput. Phys., 2019)

Transport schemes in spherical geometries using spline-based RBF-FD with polynomials. - David Gunderman; Natasha Flyer; Bengt Fornberg (J. Comput. Phys., 2020)

Solving 3D magnetohydrostatics with RBF-FD: Applications to the solar corona. - Nathaniel H. Mathews; Natasha Flyer; Sarah E. Gibson (J. Comput. Phys., 2022)

Accelerating Explicit Time-Stepping with Spatially Variable Time Steps Through Machine Learning. - Kiera van der Sande; Natasha Flyer; Bengt Fornberg (J. Sci. Comput., 2023)