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ORCIDNatasha Flyer
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2020 – today
- 2023
[j23]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): 31 (2023)- 2022
- [j22]Nathaniel H. Mathews, Natasha Flyer, Sarah E. Gibson:
Solving 3D magnetohydrostatics with RBF-FD: Applications to the solar corona. J. Comput. Phys. 462: 111214 (2022) - 2020
- [j21]David Gunderman, Natasha Flyer, Bengt Fornberg:
Transport schemes in spherical geometries using spline-based RBF-FD with polynomials. J. Comput. Phys. 408: 109256 (2020)
2010 – 2019
- 2019
- [j20]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) - [j19]Victor Bayona, Natasha Flyer, Bengt Fornberg:
On the role of polynomials in RBF-FD approximations: III. Behavior near domain boundaries. J. Comput. Phys. 380: 378-399 (2019) - 2018
- [j18]Oleksandr Vlasiuk, Timothy Michaels, Natasha Flyer, Bengt Fornberg:
Fast high-dimensional node generation with variable density. Comput. Math. Appl. 76(7): 1739-1757 (2018) - [j17]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: 996-1016 (2018) - 2017
- [j16]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: 257-273 (2017) - 2016
- [j15]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: 39-62 (2016) - [j14]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: 21-38 (2016) - 2015
- [b1]Bengt Fornberg, Natasha Flyer:
A primer on radial basis functions with applications to the geosciences. CBMS-NSF regional conference series in applied mathematics 87, SIAM 2015, ISBN 978-1-611-97402-7, pp. 1-221 - [j13]Bengt Fornberg, Natasha Flyer:
Solving PDEs with radial basis functions. Acta Numer. 24: 215-258 (2015) - [j12]Bengt Fornberg, Natasha Flyer:
Fast generation of 2-D node distributions for mesh-free PDE discretizations. Comput. Math. Appl. 69(7): 531-544 (2015) - [j11]Martin Tillenius, Elisabeth Larsson, Erik Lehto, Natasha Flyer:
A scalable RBF-FD method for atmospheric flow. J. Comput. Phys. 298: 406-422 (2015) - 2014
- [c1]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: 263-272 - 2012
- [j10]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): 4078-4095 (2012) - [j9]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): 7133-7151 (2012) - 2011
- [j8]Bengt Fornberg, Elisabeth Larsson, Natasha Flyer:
Stable Computations with Gaussian Radial Basis Functions. SIAM J. Sci. Comput. 33(2): 869-892 (2011) - 2010
- [j7]Natasha Flyer, Erik Lehto:
Rotational transport on a sphere: Local node refinement with radial basis functions. J. Comput. Phys. 229(6): 1954-1969 (2010)
2000 – 2009
- 2007
- [j6]Natasha Flyer, Grady B. Wright:
Transport schemes on a sphere using radial basis functions. J. Comput. Phys. 226(1): 1059-1084 (2007) - 2006
- [j5]Natasha Flyer:
Exact polynomial reproduction for oscillatory radial basis functions on infinite lattices. Comput. Math. Appl. 51(8): 1199-1208 (2006) - 2005
- [j4]Bengt Fornberg, Natasha Flyer:
Accuracy of radial basis function interpolation and derivative approximations on 1-D infinite grids. Adv. Comput. Math. 23(1-2): 5-20 (2005) - 2004
- [j3]Bengt Fornberg, Natasha Flyer:
On the Nature of Initial-Boundary Value Solutions for Dispersive Equations. SIAM J. Appl. Math. 64(2): 546-564 (2004) - 2002
- [j2]Natasha Flyer, Paul N. Swarztrauber:
The Convergence of Spectral and Finite Difference Methods for Initial-Boundary Value Problems. SIAM J. Sci. Comput. 23(5): 1731-1751 (2002)
1990 – 1999
- 1998
- [j1]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): 1601-1616 (1998)
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