Edit Profile (opens in new tab) Flyer, Natasha Co-Author Distance Author ID: flyer.natasha Published as: Flyer, Natasha; Flyer, N. External Links: Wikidata · GND · IdRef Documents Indexed: 34 Publications since 1998, including 1 Book and 1 Additional arXiv Preprint Co-Authors: 32 Co-Authors with 32 Joint Publications 685 Co-Co-Authors all top 5 Co-Authors 2 single-authored 18 Fornberg, Bengt 4 Barnett, Gregory A. 3 Bayona, Victor 3 Lehto, Erik 3 Wright, Grady B. 2 Fokas, Athanassios S. 2 Larsson, Elisabeth 2 Wicker, Louis J. 1 Arellano, Avelino 1 Blaise, Sébastien 1 Boyd, John Philip 1 Colbrook, Matthew J. 1 Edwards, David P. 1 Gibson, Sarah E. 1 Gunderman, David 1 Hovde, Susan 1 Malmberg, Anders 1 Mathews, Nathaniel H. 1 Michaels, Timothy 1 Nychka, Doug 1 Piret, Cécile 1 Qin, Zhen 1 Russell, Jennifer M. 1 Smitheman, S. A. 1 Spence, Euan A. 1 St-Cyr, Amik 1 Swarztrauber, Paul N. 1 Temam, Roger Meyer 1 Tillenius, Martin 1 van der Sande, Kiera 1 Vlasiuk, Oleksandr V. 1 Wikle, Christopher K. all top 5 Serials 12 Journal of Computational Physics 3 Computers & Mathematics with Applications 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 IMA Journal of Numerical Analysis 2 SIAM Journal on Scientific Computing 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 Mathematics of Computation 1 Journal of Computational and Applied Mathematics 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 SIAM Journal on Applied Mathematics 1 Advances in Computational Mathematics 1 Acta Numerica 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 The Annals of Applied Statistics all top 5 Fields 29 Numerical analysis (65-XX) 14 Partial differential equations (35-XX) 8 Geophysics (86-XX) 7 Fluid mechanics (76-XX) 5 Approximations and expansions (41-XX) 1 General and overarching topics; collections (00-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 1,200 times in 618 Documents Cited by ▼ Year ▼ Stable computations with Gaussian radial basis functions. Zbl 1227.65018 Fornberg, Bengt; Larsson, Elisabeth; Flyer, Natasha 178 2011 A primer on radial basis functions with applications to the geosciences. Zbl 1358.86001 Fornberg, Bengt; Flyer, Natasha 133 2015 Solving PDEs with radial basis functions. Zbl 1316.65073 Fornberg, Bengt; Flyer, Natasha 118 2015 On the role of polynomials in RBF-FD approximations. I: Interpolation and accuracy. Zbl 1349.65642 Flyer, Natasha; Fornberg, Bengt; Bayona, Victor; Barnett, Gregory A. 80 2016 On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs. Zbl 1380.65144 Bayona, Victor; Flyer, Natasha; Fornberg, Bengt; Barnett, Gregory A. 80 2017 A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere. Zbl 1394.76078 Flyer, Natasha; Lehto, Erik; Blaise, Sébastien; Wright, Grady B.; St-Cyr, Amik 79 2012 A radial basis function method for the shallow water equations on a sphere. Zbl 1186.76664 Flyer, Natasha; Wright, Grady B. 68 2009 Enhancing finite differences with radial basis functions: experiments on the Navier-Stokes equations. Zbl 1349.76460 Flyer, Natasha; Barnett, Gregory A.; Wicker, Louis J. 57 2016 Transport schemes on a sphere using radial basis functions. Zbl 1124.65097 Flyer, Natasha; Wright, Grady B. 56 2007 Accuracy of radial basis function interpolation and derivative approximations on 1 D infinite grids. Zbl 1067.65015 Fornberg, Bengt; Flyer, Natasha 38 2005 Fast generation of 2-D node distributions for mesh-free PDE discretizations. Zbl 1443.65413 Fornberg, Bengt; Flyer, Natasha 31 2015 Radial basis functions: developments and applications to planetary scale flows. Zbl 1272.65078 Flyer, Natasha; Fornberg, Bengt 28 2011 Compatibility conditions for time-dependent partial differential equations and the rate of convergence of Chebyshev and Fourier spectral methods. Zbl 0932.65109 Boyd, John P.; Flyer, Natasha 25 1999 A hybrid analytical-numerical method for solving evolution partial differential equations. I. The half-line. Zbl 1156.65089 Flyer, N.; Fokas, A. S. 24 2008 On the role of polynomials in RBF-FD approximations. III: Behavior near domain boundaries. Zbl 1451.65012 Bayona, Víctor; Flyer, Natasha; Fornberg, Bengt 23 2019 Rotational transport on a sphere: local node refinement with radial basis functions. Zbl 1303.76128 Flyer, Natasha; Lehto, Erik 22 2010 A numerical implementation of Fokas boundary integral approach: Laplace’s equation on a polygonal domain. Zbl 1226.65099 Fornberg, Bengt; Flyer, Natasha 21 2011 Comparisons between pseudospectral and radial basis function derivative approximations. Zbl 1185.65042 Fornberg, Bengt; Flyer, Natasha; Russell, Jennifer M. 19 2010 Accurate numerical resolution of transients in initial-boundary value problems for the heat equation. Zbl 1017.65079 Flyer, Natasha; Fornberg, Bengt 19 2003 The convergence of spectral and finite difference methods for initial-boundary value problems. Zbl 1006.65100 Flyer, Natasha; Swarztrauber, Paul N. 17 2002 A scalable RBF-FD method for atmospheric flow. Zbl 1349.86014 Tillenius, Martin; Larsson, Elisabeth; Lehto, Erik; Flyer, Natasha 15 2015 Locality properties of radial basis function expansion coefficients for equispaced interpolation. Zbl 1134.65013 Fornberg, Bengt; Flyer, Natasha; Hovde, Susan; Piret, Cécile 14 2008 A semi-analytical numerical method for solving evolution and elliptic partial differential equations. Zbl 1170.65079 Fokas, A. S.; Flyer, N.; Smitheman, S. A.; Spence, E. A. 11 2009 On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains. Zbl 1416.65472 Colbrook, Matthew J.; Flyer, Natasha; Fornberg, Bengt 10 2018 Exact polynomial reproduction for oscillatory radial basis functions on infinite lattices. Zbl 1154.41015 Flyer, N. 9 2006 On the nature of initial-boundary value solutions for dispersive equations. Zbl 1053.35017 Flyer, Natasha; Fornberg, Bengt 8 2003 Transport schemes in spherical geometries using spline-based RBF-FD with polynomials. Zbl 07505604 Gunderman, David; Flyer, Natasha; Fornberg, Bengt 7 2020 Interpolating fields of carbon monoxide data using a hybrid statistical-physical model. Zbl 1168.62396 Malmberg, Anders; Arellano, Avelino; Edwards, David P.; Flyer, Natasha; Nychka, Doug; Wikle, Christopher 4 2008 Asymptotic upper bounds for the coefficients in the Chebyshev series expansion for a general order integral of a function. Zbl 0915.42019 Flyer, Natasha 2 1998 A penalty method for numerically handling dispersive equations with incompatible initial and boundary data. Zbl 1250.65124 Flyer, Natasha; Qin, Zhen; Temam, Roger 2 2012 Solving 3D magnetohydrostatics with RBF-FD: applications to the solar corona. Zbl 07536725 Mathews, Nathaniel H.; Flyer, Natasha; Gibson, Sarah E. 1 2022 Fast high-dimensional node generation with variable density. Zbl 1524.65078 Vlasiuk, Oleksandr; Michaels, Timothy; Flyer, N.; Fornberg, Bengt 1 2018 Solving 3D magnetohydrostatics with RBF-FD: applications to the solar corona. Zbl 07536725 Mathews, Nathaniel H.; Flyer, Natasha; Gibson, Sarah E. 1 2022 Transport schemes in spherical geometries using spline-based RBF-FD with polynomials. Zbl 07505604 Gunderman, David; Flyer, Natasha; Fornberg, Bengt 7 2020 On the role of polynomials in RBF-FD approximations. III: Behavior near domain boundaries. Zbl 1451.65012 Bayona, Víctor; Flyer, Natasha; Fornberg, Bengt 23 2019 On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains. Zbl 1416.65472 Colbrook, Matthew J.; Flyer, Natasha; Fornberg, Bengt 10 2018 Fast high-dimensional node generation with variable density. Zbl 1524.65078 Vlasiuk, Oleksandr; Michaels, Timothy; Flyer, N.; Fornberg, Bengt 1 2018 On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs. Zbl 1380.65144 Bayona, Victor; Flyer, Natasha; Fornberg, Bengt; Barnett, Gregory A. 80 2017 On the role of polynomials in RBF-FD approximations. I: Interpolation and accuracy. Zbl 1349.65642 Flyer, Natasha; Fornberg, Bengt; Bayona, Victor; Barnett, Gregory A. 80 2016 Enhancing finite differences with radial basis functions: experiments on the Navier-Stokes equations. Zbl 1349.76460 Flyer, Natasha; Barnett, Gregory A.; Wicker, Louis J. 57 2016 A primer on radial basis functions with applications to the geosciences. Zbl 1358.86001 Fornberg, Bengt; Flyer, Natasha 133 2015 Solving PDEs with radial basis functions. Zbl 1316.65073 Fornberg, Bengt; Flyer, Natasha 118 2015 Fast generation of 2-D node distributions for mesh-free PDE discretizations. Zbl 1443.65413 Fornberg, Bengt; Flyer, Natasha 31 2015 A scalable RBF-FD method for atmospheric flow. Zbl 1349.86014 Tillenius, Martin; Larsson, Elisabeth; Lehto, Erik; Flyer, Natasha 15 2015 A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere. Zbl 1394.76078 Flyer, Natasha; Lehto, Erik; Blaise, Sébastien; Wright, Grady B.; St-Cyr, Amik 79 2012 A penalty method for numerically handling dispersive equations with incompatible initial and boundary data. Zbl 1250.65124 Flyer, Natasha; Qin, Zhen; Temam, Roger 2 2012 Stable computations with Gaussian radial basis functions. Zbl 1227.65018 Fornberg, Bengt; Larsson, Elisabeth; Flyer, Natasha 178 2011 Radial basis functions: developments and applications to planetary scale flows. Zbl 1272.65078 Flyer, Natasha; Fornberg, Bengt 28 2011 A numerical implementation of Fokas boundary integral approach: Laplace’s equation on a polygonal domain. Zbl 1226.65099 Fornberg, Bengt; Flyer, Natasha 21 2011 Rotational transport on a sphere: local node refinement with radial basis functions. Zbl 1303.76128 Flyer, Natasha; Lehto, Erik 22 2010 Comparisons between pseudospectral and radial basis function derivative approximations. Zbl 1185.65042 Fornberg, Bengt; Flyer, Natasha; Russell, Jennifer M. 19 2010 A radial basis function method for the shallow water equations on a sphere. Zbl 1186.76664 Flyer, Natasha; Wright, Grady B. 68 2009 A semi-analytical numerical method for solving evolution and elliptic partial differential equations. Zbl 1170.65079 Fokas, A. S.; Flyer, N.; Smitheman, S. A.; Spence, E. A. 11 2009 A hybrid analytical-numerical method for solving evolution partial differential equations. I. The half-line. Zbl 1156.65089 Flyer, N.; Fokas, A. S. 24 2008 Locality properties of radial basis function expansion coefficients for equispaced interpolation. Zbl 1134.65013 Fornberg, Bengt; Flyer, Natasha; Hovde, Susan; Piret, Cécile 14 2008 Interpolating fields of carbon monoxide data using a hybrid statistical-physical model. Zbl 1168.62396 Malmberg, Anders; Arellano, Avelino; Edwards, David P.; Flyer, Natasha; Nychka, Doug; Wikle, Christopher 4 2008 Transport schemes on a sphere using radial basis functions. Zbl 1124.65097 Flyer, Natasha; Wright, Grady B. 56 2007 Exact polynomial reproduction for oscillatory radial basis functions on infinite lattices. Zbl 1154.41015 Flyer, N. 9 2006 Accuracy of radial basis function interpolation and derivative approximations on 1 D infinite grids. Zbl 1067.65015 Fornberg, Bengt; Flyer, Natasha 38 2005 Accurate numerical resolution of transients in initial-boundary value problems for the heat equation. Zbl 1017.65079 Flyer, Natasha; Fornberg, Bengt 19 2003 On the nature of initial-boundary value solutions for dispersive equations. Zbl 1053.35017 Flyer, Natasha; Fornberg, Bengt 8 2003 The convergence of spectral and finite difference methods for initial-boundary value problems. Zbl 1006.65100 Flyer, Natasha; Swarztrauber, Paul N. 17 2002 Compatibility conditions for time-dependent partial differential equations and the rate of convergence of Chebyshev and Fourier spectral methods. Zbl 0932.65109 Boyd, John P.; Flyer, Natasha 25 1999 Asymptotic upper bounds for the coefficients in the Chebyshev series expansion for a general order integral of a function. Zbl 0915.42019 Flyer, Natasha 2 1998 all cited Publications top 5 cited Publications all top 5 Cited by 882 Authors 31 Fornberg, Bengt 21 Dehghan Takht Fooladi, Mehdi 21 Flyer, Natasha 21 Wright, Grady B. 20 Fokas, Athanassios S. 17 Boyd, John Philip 14 Larsson, Elisabeth 13 Kindelan, Manuel Segura 13 Shankar, Varun 12 Bayona, Victor 12 Cavoretto, Roberto 11 De Marchi, Stefano 11 Perracchione, Emma 9 Abbaszadeh, Mostafa 9 Davydov, Oleg V. 9 De Rossi, Alessandra 9 Fasshauer, Gregory E. 9 González-Rodríguez, Pedro 9 Ling, Leevan 8 Feng, Xinlong 8 Heryudono, Alfa R. H. 8 Kazem, Saeed 8 Moscoso, Miguel 8 Santin, Gabriele 7 Esmaeilbeigi, Mohsen 7 Piret, Cécile 7 Rad, Jamal Amani 7 Šarler, Božidar 7 Wendland, Holger 6 Glaubitz, Jan 6 Kirby, Robert M. II 6 Lehto, Erik 6 Mirzaei, Davoud 6 Mohammadi, Vahid 6 Power, Henry 6 Reeger, Jonah A. 6 Schaback, Robert 6 Temam, Roger Meyer 5 Colbrook, Matthew J. 5 Fogelson, Aaron L. 5 Fuselier, Edward J. 5 Jafarabadi, Ahmad 5 Mai-Duy, Nam 5 Mantzavinos, Dionyssios 5 Mavrič, Boštjan 5 Öffner, Philipp 5 Sarra, Scott A. 5 Shivanian, Elyas 5 von Sydow, Lina 5 Xiao, Xufeng 5 Zheng, Hui 4 Álvarez, Diego 4 Ashton, Anthony C. L. 4 Ballestra, Luca Vincenzo 4 Chatrabgoun, Omid 4 Chen, Ching-Shyang 4 Fryklund, Fredrik 4 Hesthaven, Jan S. 4 Kalimeris, Konstantinos 4 Kosec, Gregor 4 Li, Jichun 4 Milovanović, Slobodan 4 Mishra, Pankaj Kumar 4 Nikan, Omid 4 Oanh, Dang Thi 4 Parand, Kourosh 4 Shcherbakov, Victor 4 Soleymani, Fazlollah 4 Tominec, Igor 4 Tran-Cong, Thanh 3 Antunes, Pedro Ricardo Simão 3 Barnett, Gregory A. 3 Bihlo, Alexander 3 Bosler, Peter A. 3 Chen, Meng 3 Drake, Kathryn P. 3 Farshadmoghadam, Farnaz 3 Ferreira, António Joaquim Mendes 3 Filelis-Papadopoulos, Christos K. 3 González-Casanova, Pedro 3 Gracia, José Luis 3 Gravvanis, George A. 3 Grylonakis, Eleftherios-Nektarios G. 3 Haasdonk, Bernard 3 Haghi, Majid 3 Harlim, John 3 He, Yinnian 3 Hon, Yiu-Chung 3 Jäger, Janin 3 Jung, Jae-Hun 3 Karageorghis, Andreas 3 King, J. R. C. 3 Kuberry, Paul Allen 3 Kumar, Sushil 3 Le Borne, Sabine 3 Levesley, Jeremy 3 Li, Xinxiang 3 Lind, Steven J. 3 Marchetti, Francesco 3 Mollapourasl, Reza ...and 782 more Authors all top 5 Cited in 125 Serials 95 Journal of Computational Physics 63 Engineering Analysis with Boundary Elements 44 Computers & Mathematics with Applications 43 Journal of Scientific Computing 34 SIAM Journal on Scientific Computing 24 Journal of Computational and Applied Mathematics 23 Applied Mathematics and Computation 22 Applied Numerical Mathematics 13 Advances in Computational Mathematics 11 Numerical Methods for Partial Differential Equations 11 Applied Mathematical Modelling 8 Numerische Mathematik 8 Computational and Applied Mathematics 7 Computer Methods in Applied Mechanics and Engineering 7 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 7 Communications in Nonlinear Science and Numerical Simulation 6 BIT 6 International Journal of Computer Mathematics 5 Computers and Fluids 4 Journal of Approximation Theory 4 Mathematics and Computers in Simulation 4 SIAM Journal on Numerical Analysis 4 Studies in Applied Mathematics 4 Applied Mathematics Letters 4 SIAM Journal on Matrix Analysis and Applications 4 European Journal of Applied Mathematics 4 Numerical Algorithms 4 International Journal of Computational Methods 4 Inverse Problems in Science and Engineering 3 Mathematics of Computation 3 International Journal for Numerical Methods in Engineering 3 Journal of Nonlinear Mathematical Physics 3 The Annals of Applied Statistics 3 Mathematical Sciences 3 International Journal of Applied and Computational Mathematics 2 Communications in Mathematical Physics 2 Computer Physics Communications 2 Calcolo 2 Quarterly of Applied Mathematics 2 Computational Mechanics 2 Journal of Economic Dynamics & Control 2 Computational Mathematics and Mathematical Physics 2 Mathematical Problems in Engineering 2 Computational Geosciences 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Journal of Numerical Mathematics 2 Computational Methods and Function Theory 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Complex Variables and Elliptic Equations 2 Communications in Computational Physics 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Applied Mathematics and Mechanics 2 GEM - International Journal on Geomathematics 2 Journal of Mathematics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Acta Mechanica 1 Applicable Analysis 1 Communications on Pure and Applied Mathematics 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Physica A 1 Physics Letters. A 1 Wave Motion 1 The Annals of Statistics 1 Meccanica 1 Memoirs of the American Mathematical Society 1 Moscow University Computational Mathematics and Cybernetics 1 Optimal Control Applications & Methods 1 Systems & Control Letters 1 Acta Applicandae Mathematicae 1 Journal of Computational Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Constructive Approximation 1 Machine Learning 1 Journal of Global Optimization 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Automation and Remote Control 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Statistical Computation and Simulation 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Journal of Mathematical Imaging and Vision 1 Journal of Nonlinear Science 1 Computational Optimization and Applications 1 Test 1 Numerical Linear Algebra with Applications 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Journal of the Egyptian Mathematical Society 1 Applied Mathematical Finance 1 Bernoulli 1 Discrete and Continuous Dynamical Systems 1 Vietnam Journal of Mathematics 1 Positivity 1 Journal of Applied Mechanics and Technical Physics 1 Chaos ...and 25 more Serials all top 5 Cited in 36 Fields 514 Numerical analysis (65-XX) 225 Partial differential equations (35-XX) 101 Approximations and expansions (41-XX) 100 Fluid mechanics (76-XX) 32 Mechanics of deformable solids (74-XX) 31 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 27 Geophysics (86-XX) 17 Statistics (62-XX) 17 Biology and other natural sciences (92-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 14 Integral equations (45-XX) 14 Probability theory and stochastic processes (60-XX) 14 Classical thermodynamics, heat transfer (80-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Computer science (68-XX) 10 Optics, electromagnetic theory (78-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Functions of a complex variable (30-XX) 9 Special functions (33-XX) 9 Ordinary differential equations (34-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Real functions (26-XX) 7 Operations research, mathematical programming (90-XX) 6 Quantum theory (81-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Systems theory; control (93-XX) 4 Information and communication theory, circuits (94-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.