Bin Han

High-order Numerical Methods for Challenging Elliptic Interface Problems

Principal investigators: Han, Bin

Keywords: numerical methods for elliptic interface problems; high-order finite difference methods for numerical pdes; wavelet methods for numerical pdes and image processing; boundary value problems in irregular domains; immersed methods and meshless methods; wavelets on regular domains satisfying boundary conditions; spline wavelet approximation and finite element methods; the m-matrix property and convergence rates; multiscale methods and multiscale sparse approximation; deep neural networks for numerical pdes

Compactly supported directional wavelet frames and their applications

Principal investigators: Han, Bin

Keywords: Applied harmonic analysis; Complex wavelets and framelets with applications; Directional multiscale sparse representation; Fast wavelet and framelet transforms/algorithms; Filter banks and image processing; Matrix spectral factorization of polynomials; Multiscale methods in data science; Multivariate framelets with applications; Shearlets and sparse approximation; Wavelets and framelets on bounded domains

Development and Application of Directional Framelets and Complex Multiwavelets

Principal investigators: Han, Bin

Multivariate wavelet frames in various function spaces and their applications

Principal investigators: Han, Bin

Multivariate subdivision schemes and hermite wavelets in a general domain with semi-regular partitions

Principal investigators: Han, Bin

Wavelet bases and frames with optimal properties

Principal investigators: Han, Bin