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Recent publications
Here are number of recent publications which you can download from the links
- Stable simulation of fluid flow with high Reynolds' number using Ehrenfests' steps, Numerical Algorithms 45 (2007), 389-408.
- Radial basis interpolation on homogeneous manifolds: convergence rates, Adv. in Comp. Math. 27 (2007), 237-246; published online at SpringerLink ; manifolds.pdf
- Extending the range of error estimates for radial approximation in Euclidean space and on spheres, with R. A. Brownlee and E. H. Georgoulis, SIAM J. Math. Anal. 39 (2007), 554-564; extended.pdf
- Stability and stabilisation of the lattice Boltzmann method: Magic steps and salvation operations, with R. A. Brownlee and A. N. Gorban, Phys. Rev. E 75 (2007); magic.pdf
- Perturbed kernel approximation on homogeneous manifolds; with X. Sun, Journal of Computational and Applied Mathematics 199 (2007), 159-171 ; perturbed.pdf
- Stabilisation of the lattice Boltzmann method using the Ehrenfests' coarse-graining idea ; with R. A. Brownlee and A. N. Gorban, Phys. Rev. E, 137 (2006); lbmes.pdf
- Estimates of n-widths of Besov classes on two-point homogeneous manifolds; with A. K. Kushpel and S. Tozoni, Math. Nachr 282 (2009), 1-16; besov.pdf
- Embeddings of Beppo-Levi spaces in Holder-Zygmund spaces, and a new method for radial basis function interpolation error estimates; with R. K. Beatson and H.-Q. Bui, Journal of Approximation Theory 137 (2006), 166-178; embed.pdf
- Approximation in rough native spaces by shifts of smooth kernels on spheres ; with X. Sun, Journal of Approximation Theory 133 (2005), 269-283; rough.pdf
- Energies, group-invariant kernels and numerical integration on compact manifolds, with S.B. Damelin, D.L. Ragozin, X. Sun, Journal of Complexity, 25 (2009), 152-162; energy.pdf
- Error bounds for anisotropic RBF interpolation, with Rick Beatson and Oleg Davydov, Error bounds for anisotropic RBF interpolation. Journal of Approximation Theory 162(3): 512-527 (2010); aniso.pdf
- Fast, stable interpolation of well data using the norm function, to appear in Approximation Algorithms for Complex Systems, Springer 2011. wellinterp.pdf
