Natasha Flyer

发表

Fast high-dimensional node generation with variable density

Bengt Fornberg, O. Vlasiuk, T. Michaels, 2017, Comput. Math. Appl..

RBF-generated finite differences for nonlinear transport on a sphere : Shallow water simulations

Erik Lehto, Natasha Flyer, Sébastien Blaise, 2011 .

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

Natasha Flyer, Paul N. Swarztrauber, P. Swarztrauber, 2001, SIAM J. Sci. Comput..

Transport schemes on a sphere using radial basis functions

Natasha Flyer, Grady B. Wright, G. Wright, 2007, J. Comput. Phys..

Solving PDEs with radial basis functions *

Bengt Fornberg, Natasha Flyer, B. Fornberg, 2015, Acta Numerica.

Chapter 8: RBF-FD Applications to Geo-Modeling: Limited-Area Domains

Bengt Fornberg, Natasha Flyer, 2015 .

Acceleration of derivative calculations with application to radial basis function: finite-differences on the intel mic architecture

Evan F. Bollig, Gordon Erlebacher, Natasha Flyer, 2014, ICS '14.

On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy

Bengt Fornberg, Natasha Flyer, Victor Bayona, 2016, J. Comput. Phys..

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

Bengt Fornberg, Natasha Flyer, B. Fornberg, 2004, SIAM J. Appl. Math..

On the role of polynomials in RBF-FD approximations: III. Behavior near domain boundaries

Bengt Fornberg, Natasha Flyer, Victor Bayona, 2019, J. Comput. Phys..

A 3-D RBF-FD elliptic solver for irregular boundaries: modeling the atmospheric global electric circuit with topography

Natasha Flyer, Victor Bayona, A. J. G. Baumgaertner, 2015 .

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

Bengt Fornberg, Natasha Flyer, B. Fornberg, 2005, Adv. Comput. Math..

On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs

Bengt Fornberg, Natasha Flyer, Victor Bayona, 2017, J. Comput. Phys..

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

Bengt Fornberg, Natasha Flyer, B. Fornberg, 2015, Comput. Math. Appl..

A scalable RBF-FD method for atmospheric flow

Elisabeth Larsson, Erik Lehto, Natasha Flyer, 2015, J. Comput. Phys..

Enhancing finite differences with radial basis functions: Experiments on the Navier-Stokes equations

Louis J. Wicker, Natasha Flyer, Gregory A. Barnett, 2016, J. Comput. Phys..

Exact polynomial reproduction for oscillatory radial basis functions on infinite lattices

Natasha Flyer, N. Flyer, 2006, Comput. Math. Appl..

A guide to RBF-generated finite differences for nonlinear transport: Shallow water simulations on a sphere

Erik Lehto, Natasha Flyer, Sébastien Blaise, 2012, J. Comput. Phys..

Chapter 4: Global RBFs for Solving PDEs

Bengt Fornberg, Natasha Flyer, 2015 .

On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains

Matthew J. Colbrook, Bengt Fornberg, Natasha Flyer, 2018, J. Comput. Phys..

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

Natasha Flyer, 1998, Math. Comput..

Stable Computations with Gaussian Radial Basis Functions

Elisabeth Larsson, Bengt Fornberg, Natasha Flyer, 2011, SIAM J. Sci. Comput..

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

Erik Lehto, Natasha Flyer, N. Flyer, 2010, J. Comput. Phys..

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

Bengt Fornberg, Natasha Flyer, David Gunderman, 2020, J. Comput. Phys..

A task parallel implementation of a scattered node stencil-based solver for the shallow water equations

Elisabeth Larsson, Erik Lehto, Natasha Flyer, 2013 .

A primer on radial basis functions with applications to the geosciences

Bengt Fornberg, Natasha Flyer, B. Fornberg, 2015, CBMS-NSF regional conference series in applied mathematics.

Solution to PDEs using radial basis function finite-differences (RBF-FD) on multiple GPUs

Evan F. Bollig, Gordon Erlebacher, Natasha Flyer, 2012, J. Comput. Phys..

Stable computations with Gaussian radial basis functions in 2-D

Elisabeth Larsson, Bengt Fornberg, Natasha Flyer, 2009 .

Implementation of a scalable, performance portable shallow water equation solver using radial basis function-generated finite difference methods

Natasha Flyer, Tuan Ta, Richard Loft, 2018, Int. J. High Perform. Comput. Appl..

Applications of Big Data and High-Performance Computing in Earth Sciences

Kyle T. Mandli, Natasha Flyer, Manoochehr Shirzaei, 2019 .

A radial basis function method for the shallow water equations on a sphere

Natasha Flyer, Grady B. Wright, G. Wright, 2009, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Magnetic Field Confinement in the Solar Corona. I. Force-free Magnetic Fields

Bengt Fornberg, Natasha Flyer, Stephen J. Thomas, 2004 .

Locality properties of radial basis function expansion coefficients for equispaced interpolation

Bengt Fornberg, Cécile Piret, Natasha Flyer, 2007 .

Comparisons between pseudospectral and radial basis function derivative approximations

Bengt Fornberg, Natasha Flyer, B. Fornberg, 2010 .

A semi-analytical numerical method for solving evolution and elliptic partial differential equations

Athanassios S. Fokas, Natasha Flyer, S. A. Smitheman, 2009 .

Accurate numerical resolution of transients in initial-boundary value problems for the heat equation

Bengt Fornberg, Natasha Flyer, B. Fornberg, 2003 .

Seismic modeling with radial basis function-generated finite differences (RBF-FD)

Bengt Fornberg, Natasha Flyer, Amik St-Cyr, 2014 .

A hybrid analytical–numerical method for solving evolution partial differential equations. I. The half-line

Athanassios S. Fokas, Natasha Flyer, A. S. Fokas, 2008, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

A numerical implementation of Fokas boundary integral approach: Laplace's equation on a polygonal domain

Bengt Fornberg, Natasha Flyer, B. Fornberg, 2011, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

A 3-D RBF-FD solver for modeling the atmospheric global electric circuit with topography (GEC-RBFFD v1.0)

Natasha Flyer, A. J. G. Baumgaertner, G. M. Lucas, 2015 .

Compatibility conditions for time-dependent partial differential equations and the rate of convergence of Chebyshev and Fourier spectral methods

John P. Boyd, Natasha Flyer, J. Boyd, 1999 .

Interpolating fields of carbon monoxide data using a hybrid statistical-physical model

Natasha Flyer, David P. Edwards, Anders Malmberg, 2009, 0901.3670.

A task parallel implementation of an RBF-generated finite difference method for the shallow water equations on the sphere

Elisabeth Larsson, Erik Lehto, Natasha Flyer, 2014 .