Research Interests

Grady Wright

My general research interests are in applied and computational mathematics. In particular, I am interested in:

interpolation/approximation methods for multidimensional scattered data problems with radial basis functions (RBFs);
modeling and developing numerical methods for biological fluids;
high-order and spectral methods for numerically solving partial differential equations (PDEs) - especially for unstructured grids;
multilevel/multiscale methods;
applications arising in the atmospheric and geophysical sciences;
numerical software development;
consulting for industry.

For more information see my CV.

Some imgaes from my publications

animation

Selected publications

N. Flyer and G.B. Wright, A radial basis function shallow water model for the sphere. Submitted (2008).

E.J. Fuselier and G.B. Wright, Stability and error estimates for vector field interpolation and decomposition on the sphere with RBFs. Submitted (2008).

E.J. Fuselier, F.J. Narcowich, J.D. Ward, and G.B. Wright, Error and stability estimates for surface-divergence free RBF interpolants on the sphere. Math. Comp., to appear (2008).

J. Du, A.L. Fogelson, and G.B. Wright, A parallel computational method for simulating two-phase gel dynamics on a staggered grid. Int. J. Numer. Meth. Fluids, to appear (2008)

G.B. Wright, R.D. Guy, and A.L. Fogelson, An efficient and robust method for simulating two-phase gel dynamics. SIAM J. Sci. Comput., 30 (2008), 2535-2565. (pdf)
F.J. Narcowich, J.D. Ward, and G.B. Wright, Divergence-free RBFs on surfaces. J. Fourier Anal. Appl., 13 (2007), 643-663.
N. Flyer and G.B. Wright, Transport schemes on a sphere using radial basis functions. J. Comp. Phys., 226 (2007), 1059-1084. (pdf)
O.E. Livne and G.B. Wright, Fast multilevel evaluation of 1-D piecewise smooth radial basis function expansions. SIAM Proceedings Geometric Design and Computing, Pheonix 2005, To Appear (2007) (pdf)
G.B. Wright and B. Fornberg, Scattered node mehrstellenverfahren-type formulas generated from radial basis functions. Book chapter: Computational Methods, G. Liu, V. Tan, and X. Han, eds., Springer (2006), 1391-1395. (pdf)
O.E. Livne and G.B. Wright, Fast multilevel evaluation of smooth radial basis function expansions. ETNA, 23 (2006), 263-287. (pdf)
G.B. Wright and B. Fornberg, Scattered node compact finite difference-type formulas generated from radial basis functions, J. Comput. Phys., 212 (2006), 99-123. (pdf)
B. Fornberg, E. Larsson, and G. Wright, A new class of oscillatory radial basis functions, Computers and Mathematics with Applications, 51 (2006), 1209-1222. (pdf)
B. Fornberg and G. Wright, Stable computation of multiquadric interpolants for all values of the shape parameter, Computers and Mathematics with Applications 48 (2004) 853-867. (pdf)
B. Fornberg, G. Wright, and E. Larsson, Some observations regarding interpolants in the limit of flat radial basis functions, Computers and Mathematics with Applications 47 (2004) 37-55. (pdf)
B. Fornberg, T.A. Driscoll, G. Wright, and R. Charles, Observations on the behavior of radial basis functions near boundaries, Computers and Mathematics with Applications 43(2002), 473-490. (pdf)

My PhD thesis can be downloaded here.

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