36 citations · 98 across the 26 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.FA2015
Operator Reproducing Kernel Hilbert Spaces
Rui Wang, Yuesheng Xu
Motivated by the need of processing functional-valued data, or more general, operatorvalued data, we introduce the notion of the operator reproducing kernel Hilbert space (ORKHS).…
math.NA2015★ 3 cited
Computing Highly Oscillatory Integrals
Yunyun Ma, Yuesheng Xu
We develop two classes of composite moment-free numerical quadratures for computing highly oscillatory integrals having integrable singularities and stationary points. The first cl…
math.NA2015★ 4 cited
Oscillation Preserving Galerkin Methods for Fredholm Integral Equations of the Second Kind with Oscillatory Kernels
Yinkun Wang, Yuesheng Xu
Solutions of Fredholm integral equations of the second kind with oscillatory kernels likely exhibit oscillation. Standard numerical methods applied to solving equations of this typ…