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Mathematics

D-Index
40
Citations
6413
World Ranking
2064
National Ranking
78

Overview

Bin Han is affiliated with the University of Alberta in Canada and conducts research primarily in the fields of Engineering and Mathematics. Their work spans diverse subfields including Computational Mechanics, Mechanical Engineering, Numerical Analysis, Computational Theory and Mathematics, and Applied Mathematics.

The research focuses significantly on advanced numerical and computational methods. Key topics explored in their publications include Advanced Numerical Methods in Computational Mathematics, Advanced Numerical Analysis Techniques, Mathematical Analysis and Transform Methods, Image and Signal Denoising Methods, Differential Equations and Numerical Methods, Advanced Machining Processes and Optimization, and Electromagnetic Simulation and Numerical Methods.

Bin Han has contributed to several recent papers, highlighting their involvement in numerical analysis and framelet theory. Recent publications include:

  • Compactly supported quasi-tight multiframelets with high balancing orders and compact framelet transforms (2020) in Applied and Computational Harmonic Analysis
  • Analysis and Convergence of Hermite Subdivision Schemes (2021) in Foundations of Computational Mathematics

Coauthor collaborations are an important aspect of their research efforts. Frequent collaborators include Qiwei Feng, P Minev, Ran Lu, Michelle Michelle, and Chenzhe Diao.

Bin Han's research is regularly published in specialized scientific venues. They have multiple publications in the following outlets:

  • arXiv (Cornell University)
  • SSRN Electronic Journal
  • Computers & Mathematics with Applications
  • Constructive Approximation
  • Journal of Computational and Applied Mathematics

Among relevant works involving Bin Han's collaborations or related research are several papers focusing on finite difference schemes and framelet theory, including:

  • Sixth order compact finite difference schemes for Poisson interface problems with singular sources (2021) in Computers & Mathematics with Applications
  • A high order compact finite difference scheme for elliptic interface problems with discontinuous and high-contrast coefficients (2022) in Applied Mathematics and Computation
  • Generalized matrix spectral factorization and quasi-tight framelets with a minimum number of generators (2020) in Mathematics of Computation

This wide scope of research reflects interdisciplinary approaches within computational mathematics and engineering, bridging theoretical aspects with applied numerical techniques.

Best Publications

  • Framelets: MRA-based constructions of wavelet frames☆☆☆

    Ingrid Daubechies;Bin Han;Amos Ron;Zuowei Shen

  • On Dual Wavelet Tight Frames

    Bin Han

  • Multivariate refinement equations and convergence of subdivision schemes

    Bin Han;Rong-Qing Jia

  • Vector cascade algorithms and refinable function vectors in Sobolev spaces

    Bin Han

  • Pairs of Dual Wavelet Frames from Any Two Refinable Functions

    Ingrid Daubechie;Bin Han

  • Biorthogonal Multiwavelets on the Interval: Cubic Hermite Splines

    W. Dahmen;B. Han;R.-Q. Jia;A. Kunoth

  • Compactly supported tight wavelet frames and orthonormal wavelets of exponential decay with a general dilation matrix

    Bin Han

  • Framelets and Wavelets

    Bin Han

  • Approximation Properties and Construction of Hermite Interpolants and Biorthogonal Multiwavelets

    Bin Han

  • Symmetric orthonormal scaling functions and wavelets with dilation factor 4

    Bin Han

  • Dual multiwavelet frames with high balancing order and compact fast frame transform

    Bin Han

  • Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function

    Bin Han

  • Nonhomogeneous wavelet systems in high dimensions

    Bin Han

  • Dual Wavelet Frames and Riesz Bases in Sobolev Spaces

    Bin Han;Zuowei Shen

  • Multiwavelet Frames from Refinable Function Vectors

    Bin Han;Qun Mo

  • Pairs of frequency-based nonhomogeneous dual wavelet frames in the distribution space

    Bin Han

  • Analysis and construction of optimal multivariate biorthogonal wavelets with compact support

    Bin Han

  • The Canonical Dual Frame of a Wavelet Frame

    Ingrid Daubechies;Bin Han

  • Wavelets with Short Support

    Bin Han;Zuowei Shen

  • Properties of Discrete Framelet Transforms

    Bin Han

  • Wavelet bi-frames with few generators from multivariate refinable functions

    Martin Ehler;Bin Han

Frequent Co-Authors

Zuowei Shen
Zuowei Shen National University of Singapore
Rong-Qing Jia
Rong-Qing Jia University of Alberta
Mehrdad Lakestani
Mehrdad Lakestani University of Tabriz
Gitta Kutyniok
Gitta Kutyniok Ludwig-Maximilians-Universität München
Ingrid Daubechies
Ingrid Daubechies Duke University
Hui Ji
Hui Ji National University of Singapore
Mohsen Razzaghi
Mohsen Razzaghi Mississippi State University
Charles K. Chui
Charles K. Chui Hong Kong Baptist University
Hyoungkwan Kim
Hyoungkwan Kim Yonsei University
Michael L. Overton
Michael L. Overton Courant Institute of Mathematical Sciences

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