4 papers
A Unified Framework for Efficient Kernel and Polynomial Interpolation
M. Belianovich, G. E. Fasshauer, A. Narayan +1
We present a unified interpolation scheme that combines compactly-supported positive-definite kernels and multivariate polynomials. This unified framework generalizes interpolation…
Quasi-interpolation for high-dimensional function approximation
Wenwu Gao, Jiecheng Wang, Zhengjie Sun +1
The paper proposes a general quasi-interpolation scheme for high-dimensional function approximation. To facilitate error analysis, we view our quasi-interpolation as a two-step pro…
A stabilized radial basis-finite difference (RBF-FD) method with hybrid kernels
Pankaj K Mishra, Gregory E Fasshauer, Mrinal K Sen +1
Recent developments have made it possible to overcome grid-based limitations of finite difference (FD) methods by adopting the kernel-based meshless framework using radial basis fu…
A Nonstationary Designer Space-Time Kernel
Michael McCourt, Gregory Fasshauer, David Kozak
In spatial statistics, kriging models are often designed using a stationary covariance structure; this translation-invariance produces models which have numerous favorable properti…