22 citations · 26 across the 9 of their papers we have counts for
5 papers · 1 filter
A High Order Compact Finite Difference Scheme for Elliptic Interface Problems with Discontinuous and High-Contrast Coefficients
Qiwei Feng, Bin Han, Peter Minev
The elliptic interface problems with discontinuous and high-contrast coefficients appear in many applications and often lead to huge condition numbers of the corresponding linear s…
Sixth Order Compact Finite Difference Scheme for Poisson Interface Problem with Singular Sources
Qiwei Feng, Bin Han, Peter Minev
Let be a smooth curve inside a two-dimensional rectangular region . In this paper, we consider the Poisson interface problem in with Dirichlet…
Wavelets on Intervals Derived from Arbitrary Compactly Supported Biorthogonal Multiwavelets
Bin Han, Michelle Michelle
(Bi)orthogonal (multi)wavelets on the real line have been extensively studied and employed in applications with success. A lot of problems in applications are defined on bounded in…
Dirac Assisted Tree Method for 1D Heterogeneous Helmholtz Equations with Arbitrary Variable Wave Numbers
Bin Han, Michelle Michelle, Yau Shu Wong
In this paper we introduce a new method called the Dirac Assisted Tree (DAT) method, which can handle 1D heterogeneous Helmholtz equations with arbitrarily large variable wave numb…
Wavelet-based Methods for Numerical Solutions of Differential Equations
Bin Han, Michelle Michelle, Yau Shu Wong
Wavelet theory has been well studied in recent decades. Due to their appealing features such as sparse multiscale representation and fast algorithms, wavelets have enjoyed many tre…