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Natasha Flyer
Natasha Flyer
Flyer Research, LLC; University Of Colorado, Boulder
Verified email at colorado.edu - Homepage
Title
Cited by
Cited by
Year
Stable computations with Gaussian radial basis functions
B Fornberg, E Larsson, N Flyer
SIAM Journal on Scientific Computing 33 (2), 869-892, 2011
4842011
A primer on radial basis functions with applications to the geosciences
B Fornberg, N Flyer
Society for Industrial and Applied Mathematics, 2015
3362015
Solving PDEs with radial basis functions
B Fornberg, N Flyer
Acta Numerica 24, 215-258, 2015
2862015
On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy
N Flyer, B Fornberg, V Bayona, GA Barnett
Journal of Computational Physics 321, 21-38, 2016
2752016
On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs
V Bayona, N Flyer, B Fornberg, GA Barnett
Journal of Computational Physics 332, 257-273, 2017
2422017
A guide to RBF-generated finite differences for nonlinear transport: Shallow water simulations on a sphere
N Flyer, E Lehto, S Blaise, GB Wright, A St-Cyr
Journal of Computational Physics 231 (11), 4078-4095, 2012
2022012
A radial basis function method for the shallow water equations on a sphere
N Flyer, GB Wright
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2009
1482009
Enhancing finite differences with radial basis functions: experiments on the Navier–Stokes equations
N Flyer, GA Barnett, LJ Wicker
Journal of Computational Physics 316, 39-62, 2016
1432016
Transport schemes on a sphere using radial basis functions
N Flyer, GB Wright
Journal of Computational Physics 226 (1), 1059-1084, 2007
1332007
Fast generation of 2-D node distributions for mesh-free PDE discretizations
B Fornberg, N Flyer
Computers & Mathematics with Applications 69 (7), 531-544, 2015
1272015
Magnetic field confinement in the corona: the role of magnetic helicity accumulation
M Zhang, N Flyer, BC Low
The Astrophysical Journal 644 (1), 575, 2006
1272006
Accuracy of radial basis function interpolation and derivative approximations on 1-D infinite grids
B Fornberg, N Flyer
Advances in Computational Mathematics 23 (1), 5-20, 2005
1162005
Solution to PDEs using radial basis function finite-differences (RBF-FD) on multiple GPUs
EF Bollig, N Flyer, G Erlebacher
Journal of Computational Physics 231 (21), 7133-7151, 2012
1062012
Radial basis function-generated finite differences: A mesh-free method for computational geosciences
N Flyer, GB Wright, B Fornberg
Handbook of geomathematics, 1-30, 2014
892014
A hybrid analytical–numerical method for solving evolution partial differential equations. I. The half-line
N Flyer, AS Fokas
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2008
882008
On the role of polynomials in RBF-FD approximations: III. Behavior near domain boundaries
V Bayona, N Flyer, B Fornberg
Journal of Computational Physics 380, 378-399, 2019
772019
Radial basis functions: Developments and applications to planetary scale flows
N Flyer, B Fornberg
Computers & Fluids 46 (1), 23-32, 2011
732011
A numerical implementation of Fokas boundary integral approach: Laplace's equation on a polygonal domain
B Fornberg, N Flyer
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2011
662011
Magnetic field confinement in the solar corona. I. Force-free magnetic fields
N Flyer, B Fornberg, S Thomas, BC Low
The Astrophysical Journal 606 (2), 1210, 2004
622004
Rotational transport on a sphere: Local node refinement with radial basis functions
N Flyer, E Lehto
Journal of Computational Physics 229 (6), 1954-1969, 2010
602010
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