Research Interests

Grady Wright

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

Radial basis functions (RBFs) and other high-order methods for geophysical applications, especially geophysial flows in spherical and elliptical domains;
Multigrid, Krylov subspace, and high resolution methods for biological fluids;
Theory and application of property preserving RBFs;
High performance computing on general purpose graphics processing units (GPGPU);
Numerical software development;
Consulting.

For more information see my CV.

Some imgaes from my publications

Selected publications

E.J. Fuselier and G.B. Wright. Scattered Data Interpolation on Embedded Submanifolds with Restricted Positive Definite Kernels: Sobolev Error Estimates. SIAM J. Numer. Anal., Accepted (2012) (arxiv).
N. Flyer, E. Lehto, S. Blaise, G.B. Wright, and A. St-Cyr. A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere. J. Comput. Phys., In press (2012) (pdf)
G.B. Wright, R.D. Guy, J. Du, and A.L. Fogelson. A high-resolution finite-difference method for simulating two-fluid, viscoelastic gel dynamics. J. Non-Newton. Fluid Mech., 166 (2011), 1137-1157. (pdf)
R.D. Guy, T. Nakagaki, and G.B. Wright. Flow-induced channel formation in the cytoplasm of motile cells. Phys. Rev. E, 84:016310 (2011). (pdf)
G.B. Wright, N. Flyer, and D.A. Yuen. A hybrid radial basis function - pseudospectral method for thermal convection in a 3D spherical shell. Geochem. Geophys. Geosyst., 11 (2010), Q07003. (pdf)
E.J. Fuselier and G.B. Wright. Stability and error estimates for vector field interpolation and decomposition on the sphere with RBFs. SIAM J. Numer. Anal., 47 (2009), 3213-3239. (pdf)
N. Flyer and G.B. Wright. A radial basis function method for the shallow water equations on a sphere. Proc. R. Soc. A, 465 (2009), 1949-1976. (pdf)
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., 78 (2009), 2157-2186. (link)
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, 60 (2009), 633-649. (pdf)
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 (pdf).
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.