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Wright, Grady B., Fornberg, Bengt (2006) Scattered node compact finite difference-type formulas generated from radial basis functions. Journal of Computational Physics, 212 (1) 99-123 doi:10.1016/j.jcp.2005.05.030

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Reference TypeJournal (article/letter/editorial)
TitleScattered node compact finite difference-type formulas generated from radial basis functions
JournalJournal of Computational Physics
AuthorsWright, Grady B.Author
Fornberg, BengtAuthor
Year2006 (February)Volume212
Issue1
PublisherElsevier BV
DOIdoi:10.1016/j.jcp.2005.05.030Search in ResearchGate
Generate Citation Formats
Mindat Ref. ID15883921Long-form Identifiermindat:1:5:15883921:1
GUID0
Full ReferenceWright, Grady B., Fornberg, Bengt (2006) Scattered node compact finite difference-type formulas generated from radial basis functions. Journal of Computational Physics, 212 (1) 99-123 doi:10.1016/j.jcp.2005.05.030
Plain TextWright, Grady B., Fornberg, Bengt (2006) Scattered node compact finite difference-type formulas generated from radial basis functions. Journal of Computational Physics, 212 (1) 99-123 doi:10.1016/j.jcp.2005.05.030
In(2006, February) Journal of Computational Physics Vol. 212 (1) Elsevier BV

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Wright, Grady B., Fornberg, Bengt (2017) Stable computations with flat radial basis functions using vector-valued rational approximations. Journal of Computational Physics, 331. 137-156 doi:10.1016/j.jcp.2016.11.030
Martin, Bradley, Fornberg, Bengt (2017) Seismic modeling with radial basis function-generated finite differences (RBF-FD) – a simplified treatment of interfaces. Journal of Computational Physics, 335. 828-845 doi:10.1016/j.jcp.2017.01.065
Flyer, Natasha, Wright, Grady B. (2007) Transport schemes on a sphere using radial basis functions. Journal of Computational Physics, 226 (1) 1059-1084 doi:10.1016/j.jcp.2007.05.009
Fornberg, Bengt, Lehto, Erik (2011) Stabilization of RBF-generated finite difference methods for convective PDEs. Journal of Computational Physics, 230 (6) 2270-2285 doi:10.1016/j.jcp.2010.12.014
Larsson, Elisabeth, Lehto, Erik, Heryudono, Alfa, Fornberg, Bengt (2013) Stable Computation of Differentiation Matrices and Scattered Node Stencils Based on Gaussian Radial Basis Functions. SIAM Journal on Scientific Computing, 35. doi:10.1137/120899108
Drake, Kathryn P., Wright, Grady B. (2020) A stable algorithm for divergence-free radial basis functions in the flat limit. Journal of Computational Physics, 417. 109595 doi:10.1016/j.jcp.2020.109595
Shankar, Varun, Wright, Grady B. (2018) Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions. Journal of Computational Physics, 366. 170-190 doi:10.1016/j.jcp.2018.04.007
Lehto, Erik, Shankar, Varun, Wright, Grady B. (2017) A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces. SIAM Journal on Scientific Computing, 39. doi:10.1137/16m1095457
Martin, Bradley, Fornberg, Bengt, St-Cyr, Amik (2015) Seismic modeling with radial-basis-function-generated finite differences. Geophysics, 80 (4) doi:10.1190/geo2014-0492.1
Fornberg, B., Larsson, E., Wright, G. (2006) A new class of oscillatory radial basis functions. Computers & Mathematics with Applications, 51. 1209-1222 doi:10.1016/j.camwa.2006.04.004
Fornberg, Bengt, Piret, Cécile (2008) On choosing a radial basis function and a shape parameter when solving a convective PDE on a sphere. Journal of Computational Physics, 227 (5) 2758-2780 doi:10.1016/j.jcp.2007.11.016
 
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