reproducing kernel
1.Dynamic impact processes was analyzed and simulated with reproducing kernel particle method (RKPM).
2.It proves that fixed reproducing kernel approximation has its particular advantages over other methods.
3.By combining the reproducing kernel particle method (RKPM) and boundary integral equation method for elasticity, the reproducing kernel particle boundary element-free (RKP-BEF) method is presented in this paper.
4.An h_adaptivity analysis scheme based on multiple scale reproducing kernel particle method was proposed, and two nodes refinement strategies were constructed using searching_neighbor_nodes (SNN) and local_Delaunay_triangulation (LDT) techniques, which were suitable and effective for h_adaptivity analysis on 2_D problems with the regular or irregular distribution of the nodes.
5.In this paper, we study a nonlinear filtering problem for the observation process perturbed by a Fractional Brownian Motion (FBM) with Hurst index 1/2 < H < 1. A reproducing kernel Hilbert space for the FBM is considered and a fractional Zakai equation for the unnormalized optimal filter is derived.

