On approximate approximations using Gaussian kernels
- Maz´ya, Vladimir
- Schmidt, Gunther
2010 Mathematics Subject Classification
- 41A30 41A63 41A05 65D99
- Multivariate approximation, quasi-interpolation, Gaussian kernels
This paper discusses quasi-interpolation and interpolation with Gaussians from a new point of view concerning accuracy in numerical computations. Estimates are obtained showing a high order approximation up to some saturation error negligible in numerical applications. The construction of local high order quasi-interpolation formulas is given.
- IMA J. Numer. Anal., 16 (1996), pp. 13--29