Natasha Flyer

25 papers A 1Journal 23
YearRankTypeTitle / Venue / Authors
2023 J jnl
Accelerating Explicit Time-Stepping with Spatially Variable Time Steps Through Machine Learning.
J. Sci. Comput.
Kiera van der Sande, Natasha Flyer, Bengt Fornberg
2022 J jnl
Solving 3D magnetohydrostatics with RBF-FD: Applications to the solar corona.
J. Comput. Phys.
Nathaniel H. Mathews, Natasha Flyer, Sarah E. Gibson
2020 J jnl
Transport schemes in spherical geometries using spline-based RBF-FD with polynomials.
J. Comput. Phys.
David Gunderman, Natasha Flyer, Bengt Fornberg
2019 J jnl
Implementation of a scalable, performance portable shallow water equation solver using radial basis function-generated finite difference methods.
Int. J. High Perform. Comput. Appl.
Samuel Elliott, Raghu Raj Prasanna Kumar, Natasha Flyer, Tuan Ta, Richard Loft
2019 J jnl
On the role of polynomials in RBF-FD approximations: III. Behavior near domain boundaries.
J. Comput. Phys.
Victor Bayona, Natasha Flyer, Bengt Fornberg
2018 J jnl
Fast high-dimensional node generation with variable density.
Comput. Math. Appl.
Oleksandr Vlasiuk, Timothy Michaels, Natasha Flyer, Bengt Fornberg
2018 J jnl
On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains.
J. Comput. Phys.
Matthew J. Colbrook, Natasha Flyer, Bengt Fornberg
2017 J jnl
On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs.
J. Comput. Phys.
Victor Bayona, Natasha Flyer, Bengt Fornberg, Gregory A. Barnett
2016 J jnl
Enhancing finite differences with radial basis functions: Experiments on the Navier-Stokes equations.
J. Comput. Phys.
Natasha Flyer, Gregory A. Barnett, Louis J. Wicker
2016 J jnl
On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy.
J. Comput. Phys.
Natasha Flyer, Bengt Fornberg, Victor Bayona, Gregory A. Barnett
2015 — book
A primer on radial basis functions with applications to the geosciences.
Bengt Fornberg, Natasha Flyer
2015 J jnl
A scalable RBF-FD method for atmospheric flow.
J. Comput. Phys.
Martin Tillenius, Elisabeth Larsson, Erik Lehto, Natasha Flyer
2015 J jnl
Fast generation of 2-D node distributions for mesh-free PDE discretizations.
Comput. Math. Appl.
Bengt Fornberg, Natasha Flyer
2015 J jnl
Solving PDEs with radial basis functions.
Acta Numer.
Bengt Fornberg, Natasha Flyer
2014 A conf
Acceleration of derivative calculations with application to radial basis function: finite-differences on the intel mic architecture.
ICS
Gordon Erlebacher, Erik Saule, Natasha Flyer, Evan F. Bollig
2012 J jnl
A guide to RBF-generated finite differences for nonlinear transport: Shallow water simulations on a sphere.
J. Comput. Phys.
Natasha Flyer, Erik Lehto, Sébastien Blaise, Grady B. Wright, Amik St.-Cyr
2012 J jnl
Solution to PDEs using radial basis function finite-differences (RBF-FD) on multiple GPUs.
J. Comput. Phys.
Evan F. Bollig, Natasha Flyer, Gordon Erlebacher
2011 J jnl
Stable Computations with Gaussian Radial Basis Functions.
SIAM J. Sci. Comput.
Bengt Fornberg, Elisabeth Larsson, Natasha Flyer
2010 J jnl
Rotational transport on a sphere: Local node refinement with radial basis functions.
J. Comput. Phys.
Natasha Flyer, Erik Lehto
2007 J jnl
Transport schemes on a sphere using radial basis functions.
J. Comput. Phys.
Natasha Flyer, Grady B. Wright
2006 J jnl
Exact polynomial reproduction for oscillatory radial basis functions on infinite lattices.
Comput. Math. Appl.
Natasha Flyer
2005 J jnl
Accuracy of radial basis function interpolation and derivative approximations on 1-D infinite grids.
Adv. Comput. Math.
Bengt Fornberg, Natasha Flyer
2004 J jnl
On the Nature of Initial-Boundary Value Solutions for Dispersive Equations.
SIAM J. Appl. Math.
Bengt Fornberg, Natasha Flyer
2002 J jnl
The Convergence of Spectral and Finite Difference Methods for Initial-Boundary Value Problems.
SIAM J. Sci. Comput.
Natasha Flyer, Paul N. Swarztrauber
1998 J jnl
Asymptotic upper bounds for the coefficients in the Chebyshev series expansion for a general order integral of a function.
Math. Comput.
Natasha Flyer