Natasha Flyer

Publication Activity (10 Years)

Years Active: 1998-2023
Publications (10 Years): 13

Top Topics

Radial Basis Function

Top Venues

J. Comput. Phys.

Comput. Math. Appl.

Publications

Kiera van der Sande, Natasha Flyer, Bengt Fornberg
Accelerating Explicit Time-Stepping with Spatially Variable Time Steps Through Machine Learning. J. Sci. Comput. 96 (1) (2023)
Nathaniel H. Mathews, Natasha Flyer, Sarah E. Gibson
Solving 3D magnetohydrostatics with RBF-FD: Applications to the solar corona. J. Comput. Phys. 462 (2022)
David Gunderman, Natasha Flyer, Bengt Fornberg
Transport schemes in spherical geometries using spline-based RBF-FD with polynomials. J. Comput. Phys. 408 (2020)
Victor Bayona, Natasha Flyer, Bengt Fornberg
On the role of polynomials in RBF-FD approximations: III. Behavior near domain boundaries. J. Comput. Phys. 380 (2019)
Samuel Elliott, Raghu Raj Prasanna Kumar, Natasha Flyer, Tuan Ta, Richard Loft
Implementation of a scalable, performance portable shallow water equation solver using radial basis function-generated finite difference methods. Int. J. High Perform. Comput. Appl. 33 (4) (2019)
O. Vlasiuk, Timothy Michaels, Natasha Flyer, Bengt Fornberg
Fast high-dimensional node generation with variable density. Comput. Math. Appl. 76 (7) (2018)
Matthew J. Colbrook, Natasha Flyer, Bengt Fornberg
On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains. J. Comput. Phys. 374 (2018)
Victor Bayona, Natasha Flyer, Bengt Fornberg, Gregory A. Barnett
On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs. J. Comput. Phys. 332 (2017)
Natasha Flyer, Gregory A. Barnett, Louis J. Wicker
Enhancing finite differences with radial basis functions: Experiments on the Navier-Stokes equations. J. Comput. Phys. 316 (2016)
Natasha Flyer, Bengt Fornberg, Victor Bayona, Gregory A. Barnett
On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy. J. Comput. Phys. 321 (2016)
Bengt Fornberg, Natasha Flyer
Fast generation of 2-D node distributions for mesh-free PDE discretizations. Comput. Math. Appl. 69 (7) (2015)
Martin Tillenius, Elisabeth Larsson, Erik Lehto, Natasha Flyer
A scalable RBF-FD method for atmospheric flow. J. Comput. Phys. 298 (2015)
Bengt Fornberg, Natasha Flyer
Solving PDEs with radial basis functions. Acta Numer. 24 (2015)
Gordon Erlebacher, Erik Saule, Natasha Flyer, Evan F. Bollig
Acceleration of derivative calculations with application to radial basis function: finite-differences on the intel mic architecture. ICS (2014)
Evan F. Bollig, Natasha Flyer, Gordon Erlebacher
Solution to PDEs using radial basis function finite-differences (RBF-FD) on multiple GPUs. J. Comput. Phys. 231 (21) (2012)
Natasha Flyer, Erik Lehto, Sébastien Blaise, Grady B. Wright, Amik St.-Cyr
A guide to RBF-generated finite differences for nonlinear transport: Shallow water simulations on a sphere. J. Comput. Phys. 231 (11) (2012)
Bengt Fornberg, Elisabeth Larsson, Natasha Flyer
Stable Computations with Gaussian Radial Basis Functions. SIAM J. Sci. Comput. 33 (2) (2011)
Natasha Flyer, Erik Lehto
Rotational transport on a sphere: Local node refinement with radial basis functions. J. Comput. Phys. 229 (6) (2010)
Natasha Flyer, Grady B. Wright
Transport schemes on a sphere using radial basis functions. J. Comput. Phys. 226 (1) (2007)
Natasha Flyer
Exact polynomial reproduction for oscillatory radial basis functions on infinite lattices. Comput. Math. Appl. 51 (8) (2006)
Bengt Fornberg, Natasha Flyer
Accuracy of radial basis function interpolation and derivative approximations on 1-D infinite grids. Adv. Comput. Math. 23 (1-2) (2005)
Bengt Fornberg, Natasha Flyer
On the Nature of Initial-Boundary Value Solutions for Dispersive Equations. SIAM J. Appl. Math. 64 (2) (2004)
Natasha Flyer, Paul N. Swarztrauber
The Convergence of Spectral and Finite Difference Methods for Initial-Boundary Value Problems. SIAM J. Sci. Comput. 23 (5) (2002)
Natasha Flyer
Asymptotic upper bounds for the coefficients in the Chebyshev series expansion for a general order integral of a function. Math. Comput. 67 (224) (1998)