Drake, Kathryn P.; Fuselier, Edward J.; Wright, Grady B. Implicit surface reconstruction with a curl-free radial basis function partition of unity method. (English) Zbl 1516.41001 SIAM J. Sci. Comput. 44, No. 5, A3018-A3040 (2022). Reviewer: Martin D. Buhmann (Gießen) MSC: 41-04 41A15 41A29 65D07 65D10 65D15 65D17 68U07 PDFBibTeX XMLCite \textit{K. P. Drake} et al., SIAM J. Sci. Comput. 44, No. 5, A3018--A3040 (2022; Zbl 1516.41001) Full Text: DOI arXiv
Shankar, Varun; Wright, Grady B.; Narayan, Akil A robust hyperviscosity formulation for stable RBF-FD discretizations of advection-diffusion-reaction equations on manifolds. (English) Zbl 1478.65098 SIAM J. Sci. Comput. 42, No. 4, A2371-A2401 (2020). Reviewer: Denys Dutykh (Chambéry) MSC: 65M70 65M06 PDFBibTeX XMLCite \textit{V. Shankar} et al., SIAM J. Sci. Comput. 42, No. 4, A2371--A2401 (2020; Zbl 1478.65098) Full Text: DOI arXiv
Drake, Kathryn P.; Wright, Grady B. A stable algorithm for divergence-free radial basis functions in the flat limit. (English) Zbl 1437.65009 J. Comput. Phys. 417, Article ID 109595, 8 p. (2020). MSC: 65D12 65D05 PDFBibTeX XMLCite \textit{K. P. Drake} and \textit{G. B. Wright}, J. Comput. Phys. 417, Article ID 109595, 8 p. (2020; Zbl 1437.65009) Full Text: DOI arXiv
Fuselier, Edward J.; Wright, Grady B. A radial basis function method for computing Helmholtz-Hodge decompositions. (English) Zbl 1433.65320 IMA J. Numer. Anal. 37, No. 2, 774-797 (2017). MSC: 65N35 PDFBibTeX XMLCite \textit{E. J. Fuselier} and \textit{G. B. Wright}, IMA J. Numer. Anal. 37, No. 2, 774--797 (2017; Zbl 1433.65320) Full Text: DOI arXiv
Wright, Grady B.; Fornberg, Bengt Stable computations with flat radial basis functions using vector-valued rational approximations. (English) Zbl 1378.65045 J. Comput. Phys. 331, 137-156 (2017). MSC: 65D05 PDFBibTeX XMLCite \textit{G. B. Wright} and \textit{B. Fornberg}, J. Comput. Phys. 331, 137--156 (2017; Zbl 1378.65045) Full Text: DOI arXiv
Fuselier, Edward J.; Shankar, Varun; Wright, Grady B. A high-order radial basis function (RBF) Leray projection method for the solution of the incompressible unsteady Stokes equations. (English) Zbl 1390.76646 Comput. Fluids 128, 41-52 (2016). MSC: 76M22 65M70 76D07 PDFBibTeX XMLCite \textit{E. J. Fuselier} et al., Comput. Fluids 128, 41--52 (2016; Zbl 1390.76646) Full Text: DOI arXiv
Shankar, Varun; Wright, Grady B.; Kirby, Robert M.; Fogelson, Aaron L. Augmenting the immersed boundary method with radial basis functions (RBFs) for the modeling of platelets in hemodynamic flows. (English) Zbl 1455.76218 Int. J. Numer. Methods Fluids 79, No. 10, 536-557 (2015). MSC: 76Z05 76M22 92C35 PDFBibTeX XMLCite \textit{V. Shankar} et al., Int. J. Numer. Methods Fluids 79, No. 10, 536--557 (2015; Zbl 1455.76218) Full Text: DOI arXiv
Shankar, Varun; Wright, Grady B.; Kirby, Robert M.; Fogelson, Aaron L. A radial basis function (RBF)-finite difference (FD) method for diffusion and reaction-diffusion equations on surfaces. (English) Zbl 1319.65079 J. Sci. Comput. 63, No. 3, 745-768 (2015). MSC: 65M06 35K57 65M12 65M20 65F35 PDFBibTeX XMLCite \textit{V. Shankar} et al., J. Sci. Comput. 63, No. 3, 745--768 (2015; Zbl 1319.65079) Full Text: DOI arXiv
Fuselier, Edward; Wright, Grady B. Order-preserving derivative approximation with periodic radial basis functions. (English) Zbl 1311.41002 Adv. Comput. Math. 41, No. 1, 23-53 (2015). MSC: 41A05 41A25 41A30 65D25 PDFBibTeX XMLCite \textit{E. Fuselier} and \textit{G. B. Wright}, Adv. Comput. Math. 41, No. 1, 23--53 (2015; Zbl 1311.41002) Full Text: DOI Link
Shankar, Varun; Wright, Grady B.; Fogelson, Aaron L.; Kirby, Robert M. A radial basis function (RBF) finite difference method for the simulation of reaction-diffusion equations on stationary platelets within the augmented forcing method. (English) Zbl 1455.65136 Int. J. Numer. Methods Fluids 75, No. 1, 1-22 (2014). MSC: 65M06 76Z05 92C35 PDFBibTeX XMLCite \textit{V. Shankar} et al., Int. J. Numer. Methods Fluids 75, No. 1, 1--22 (2014; Zbl 1455.65136) Full Text: DOI arXiv
Fuselier, Edward J.; Wright, Grady B. A high-order kernel method for diffusion and reaction-diffusion equations on surfaces. (English) Zbl 1275.65056 J. Sci. Comput. 56, No. 3, 535-565 (2013). MSC: 65M20 35K55 35K57 65M15 65M70 58J35 PDFBibTeX XMLCite \textit{E. J. Fuselier} and \textit{G. B. Wright}, J. Sci. Comput. 56, No. 3, 535--565 (2013; Zbl 1275.65056) Full Text: DOI arXiv
Shankar, Varun; Wright, Grady B.; Fogelson, Aaron L.; Kirby, Robert M. A study of different modeling choices for simulating platelets within the immersed boundary method. (English) Zbl 1426.76568 Appl. Numer. Math. 63, 58-77 (2013). MSC: 76M25 74F10 PDFBibTeX XMLCite \textit{V. Shankar} et al., Appl. Numer. Math. 63, 58--77 (2013; Zbl 1426.76568) Full Text: DOI arXiv Link
Flyer, Natasha; Lehto, Erik; Blaise, Sébastien; Wright, Grady B.; St-Cyr, Amik A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere. (English) Zbl 1394.76078 J. Comput. Phys. 231, No. 11, 4078-4095 (2012). MSC: 76M20 76B15 86A05 PDFBibTeX XMLCite \textit{N. Flyer} et al., J. Comput. Phys. 231, No. 11, 4078--4095 (2012; Zbl 1394.76078) Full Text: DOI Link
Fuselier, Edward; Wright, Grady B. Scattered data interpolation on embedded submanifolds with restricted positive definite kernels: Sobolev error estimates. (English) Zbl 1251.41004 SIAM J. Numer. Anal. 50, No. 3, 1753-1776 (2012). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A25 41A05 41A30 41A63 65D05 46E22 PDFBibTeX XMLCite \textit{E. Fuselier} and \textit{G. B. Wright}, SIAM J. Numer. Anal. 50, No. 3, 1753--1776 (2012; Zbl 1251.41004) Full Text: DOI arXiv
Fuselier, Edward J.; Wright, Grady B. Stability and error estimates for vector field interpolation and decomposition on the sphere with RBFs. (English) Zbl 1203.41002 SIAM J. Numer. Anal. 47, No. 5, 3213-3239 (2009). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A63 41A30 76M25 86-08 86A10 PDFBibTeX XMLCite \textit{E. J. Fuselier} and \textit{G. B. Wright}, SIAM J. Numer. Anal. 47, No. 5, 3213--3239 (2009; Zbl 1203.41002) Full Text: DOI Link
Fuselier, Edward J.; Narcowich, Francis J.; Ward, Joseph D.; Wright, Grady B. Error and stability estimates for surface-divergence free RBF interpolants on the sphere. (English) Zbl 1223.76052 Math. Comput. 78, No. 268, 2157-2186 (2009). MSC: 76M25 65D05 41A05 86A10 PDFBibTeX XMLCite \textit{E. J. Fuselier} et al., Math. Comput. 78, No. 268, 2157--2186 (2009; Zbl 1223.76052) Full Text: DOI
Flyer, Natasha; Wright, Grady B. A radial basis function method for the shallow water equations on a sphere. (English) Zbl 1186.76664 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2106, 1949-1976 (2009). MSC: 76M25 65M70 35Q35 PDFBibTeX XMLCite \textit{N. Flyer} and \textit{G. B. Wright}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2106, 1949--1976 (2009; Zbl 1186.76664) Full Text: DOI Link Link
Narcowich, Francis J.; Ward, Joseph D.; Wright, Grady B. Divergence-free RBFs on surfaces. (English) Zbl 1134.65015 J. Fourier Anal. Appl. 13, No. 6, 643-663 (2007). MSC: 65D10 PDFBibTeX XMLCite \textit{F. J. Narcowich} et al., J. Fourier Anal. Appl. 13, No. 6, 643--663 (2007; Zbl 1134.65015) Full Text: DOI
Flyer, Natasha; Wright, Grady B. Transport schemes on a sphere using radial basis functions. (English) Zbl 1124.65097 J. Comput. Phys. 226, No. 1, 1059-1084 (2007). MSC: 65M70 58J45 35L45 76M22 86A10 PDFBibTeX XMLCite \textit{N. Flyer} and \textit{G. B. Wright}, J. Comput. Phys. 226, No. 1, 1059--1084 (2007; Zbl 1124.65097) Full Text: DOI Link
Fornberg, B.; Larsson, E.; Wright, G. A new class of oscillatory radial basis functions. (English) Zbl 1161.41304 Comput. Math. Appl. 51, No. 8, 1209-1222 (2006). Reviewer: Norbert Kaiblinger (Wien) MSC: 41A63 41A10 PDFBibTeX XMLCite \textit{B. Fornberg} et al., Comput. Math. Appl. 51, No. 8, 1209--1222 (2006; Zbl 1161.41304) Full Text: DOI
Wright, Grady B.; Fornberg, Bengt Scattered node compact finite difference-type formulas generated from radial basis functions. (English) Zbl 1089.65020 J. Comput. Phys. 212, No. 1, 99-123 (2006). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65D25 65N06 65D05 35J25 PDFBibTeX XMLCite \textit{G. B. Wright} and \textit{B. Fornberg}, J. Comput. Phys. 212, No. 1, 99--123 (2006; Zbl 1089.65020) Full Text: DOI
Fornberg, B.; Wright, G. Stable computation of multiquadric interpolants for all values of the shape parameter. (English) Zbl 1072.41001 Comput. Math. Appl. 48, No. 5-6, 853-867 (2004). Reviewer: H. P. Dikshit (New Delhi) MSC: 41A05 41A63 PDFBibTeX XMLCite \textit{B. Fornberg} and \textit{G. Wright}, Comput. Math. Appl. 48, No. 5--6, 853--867 (2004; Zbl 1072.41001) Full Text: DOI
Fornberg, B.; Wright, G.; Larsson, E. Some observations regarding interpolants in the limit of flat radial basis functions. (English) Zbl 1048.41017 Comput. Math. Appl. 47, No. 1, 37-55 (2004). Reviewer: H. P. Dikshit (New Delhi) MSC: 41A65 41A30 PDFBibTeX XMLCite \textit{B. Fornberg} et al., Comput. Math. Appl. 47, No. 1, 37--55 (2004; Zbl 1048.41017) Full Text: DOI
Fornberg, B.; Driscoll, T. A.; Wright, G.; Charles, R. Observations on the behavior of radial basis function approximations near boundaries. (English) Zbl 0999.65005 Comput. Math. Appl. 43, No. 3-5, 473-490 (2002). MSC: 65D05 65M20 35Q60 65D07 41A30 PDFBibTeX XMLCite \textit{B. Fornberg} et al., Comput. Math. Appl. 43, No. 3--5, 473--490 (2002; Zbl 0999.65005) Full Text: DOI