42 citations · 160 across the 33 of their papers we have counts for
34 papers
Sixth-Order Hybrid Finite Difference Methods for Elliptic Interface Problems with Mixed Boundary Conditions
Qiwei Feng, Bin Han, Peter Minev
In this paper, we develop sixth-order hybrid finite difference methods (FDMs) for the elliptic interface problem in , where is a sm…
Interpolating Refinable Functions and -step Interpolatory Subdivision Schemes
Bin Han
Standard interpolatory subdivision schemes and their underlying interpolating refinable functions are of interest in CAGD, numerical PDEs, and approximation theory. Generalizing th…
Wavelet Galerkin Method for an Electromagnetic Scattering Problem
Bin Han, Michelle Michelle
The Helmholtz equation with variable wavenumbers is challenging to solve numerically due to the pollution effect, which often results in a huge ill-conditioned linear system. In th…
-Catalan continued fractions, gamma expansions and pattern avoidances
Bin Han, Qiongqiong Pan
We introduce a kind of -Catalan numbers of Type A by generalizing the Jacobian type continued fraction formula, we proved that the corresponding expansions could be expr…
Compact 9-Point Finite Difference Methods with High Accuracy Order and/or M-Matrix Property for Elliptic Cross-Interface Problems
Qiwei Feng, Bin Han, Peter Minev
In this paper we develop finite difference schemes for elliptic problems with piecewise continuous coefficients that have (possibly huge) jumps across fixed internal interfaces. In…
Vector Subdivision Schemes for Arbitrary Matrix Masks
Bin Han
Employing a matrix mask, a vector subdivision scheme is a fast iterative averaging algorithm to compute refinable vector functions for wavelet methods in numerical PDEs and to prod…