59 citations · 117 across the 11 of their papers we have counts for
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math.NA2011★ 2 cited
Reproducing Kernels of Generalized Sobolev Spaces via a Green Function Approach with Differential Operators
Qi Ye
In this paper we introduce a generalization of the classical $\Leb_2(\Rd)$-based Sobolev spaces with the help of a vector differential operator which consists of finit…
math.NA2011★ 59 cited
Approximation of Stochastic Partial Differential Equations by a Kernel-based Collocation Method
Igor Cialenco, Gregory E. Fasshauer, Qi Ye
In this paper we present the theoretical framework needed to justify the use of a kernel-based collocation method (meshfree approximation method) to estimate the solution of high-d…