Natasha Flyer

According to our database, Natasha Flyer authored at least 25 papers between 1998 and 2023.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2023

Accelerating Explicit Time-Stepping with Spatially Variable Time Steps Through Machine Learning.

Kiera van der Sande, Natasha Flyer, Bengt Fornberg

J. Sci. Comput., July, 2023

2022

Solving 3D magnetohydrostatics with RBF-FD: Applications to the solar corona.

Nathaniel H. Mathews, Natasha Flyer, Sarah E. Gibson

J. Comput. Phys., 2022

2020

Transport schemes in spherical geometries using spline-based RBF-FD with polynomials.

David Gunderman, Natasha Flyer, Bengt Fornberg

J. Comput. Phys., 2020

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

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

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

Fast high-dimensional node generation with variable density.

O. Vlasiuk, Timothy Michaels, Natasha Flyer, Bengt Fornberg

Comput. Math. Appl., 2018

2017

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

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

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

2015

A scalable RBF-FD method for atmospheric flow.

Martin Tillenius, Elisabeth Larsson, Erik Lehto, Natasha Flyer

J. Comput. Phys., 2015

Fast generation of 2-D node distributions for mesh-free PDE discretizations.

Bengt Fornberg, Natasha Flyer

Comput. Math. Appl., 2015

Solving PDEs with radial basis functions.

Bengt Fornberg, Natasha Flyer

Acta Numer., 2015

A primer on radial basis functions with applications to the geosciences.

Bengt Fornberg, Natasha Flyer

CBMS-NSF regional conference series in applied mathematics 87, SIAM, ISBN: 978-1-611-97402-7, 2015

2014

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

Proceedings of the 2014 International Conference on Supercomputing, 2014

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

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

2011

Stable Computations with Gaussian Radial Basis Functions.

Bengt Fornberg, Elisabeth Larsson, Natasha Flyer

SIAM J. Sci. Comput., 2011

2010

Rotational transport on a sphere: Local node refinement with radial basis functions.

Natasha Flyer, Erik Lehto

J. Comput. Phys., 2010

2007

Transport schemes on a sphere using radial basis functions.

Natasha Flyer, Grady B. Wright

J. Comput. Phys., 2007

2006

Exact polynomial reproduction for oscillatory radial basis functions on infinite lattices.

Natasha Flyer

Comput. Math. Appl., 2006

2005

Accuracy of radial basis function interpolation and derivative approximations on 1-D infinite grids.

Bengt Fornberg, Natasha Flyer

Adv. Comput. Math., 2005

2004

On the Nature of Initial-Boundary Value Solutions for Dispersive Equations.

Bengt Fornberg, Natasha Flyer

SIAM J. Appl. Math., 2004

2002

The Convergence of Spectral and Finite Difference Methods for Initial-Boundary Value Problems.

Natasha Flyer, Paul N. Swarztrauber

SIAM J. Sci. Comput., 2002

1998

Asymptotic upper bounds for the coefficients in the Chebyshev series expansion for a general order integral of a function.

Natasha Flyer

Math. Comput., 1998