Bin Han, PhD

Area of Study / Keywords

Applied Mathematics Computational Mathematics Applied and Computational Harmonic Analysis Scientific Computing Approximation Theory Image/Data Science

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About

My research area is in analysis and applied mathematics including computational mathematics, applied harmonic analysis, approximation theory and their applications. Using finite difference and wavelet/Fourier methods, I develop and analyze efficient numerical algorithms and methods to solve various ordinary and partial differential equations as well as their applications to industry and engineering. Using splines and wavelets, I apply techniques in harmonic analysis and approximation theory to applied mathematics and data science such as image processing, compressive sensing, manifold/functional data processing, subdivision schemes and CAGD in computer graphics. I published a book: Framelets and Wavelets: Algorithms, Analysis and Applications, (2017). I am an editor of Applied and Computational Harmonic Analysis and Journal of Approximation Theory. According to Research.com, I am ranked 65 in Canada and 1713 worldwide among all mathematicians.

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Research

Areas

Computational mathematics and scientific computing, Applied and computational harmonic analysis, Wavelets and framelets, Wavelet-based image processing and data sciences, Splines techniques and approximation theory, CAGD and computer graphics

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Teaching

I mainly teach undergraduate and graduate courses related to analysis and computational mathematics such as Calculus I-IV, Analysis, Honor's real variable and measure theory, Functional analysis, Fourier analysis, Numerical methods, Various topic courses on Fourier transform, wavelet methods and function spaces. 

Bin Han

Advances in Computational Mathematics. 2024 October; 10.1007/s10444-024-10192-x

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Bin Han

Journal of Computational and Applied Mathematics. 2024 February; 10.1016/j.cam.2023.115478

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Qiwei Feng, Bin Han, Peter Minev

Applied Mathematics and Computation. 2022 October; 10.1016/j.amc.2022.127314

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Athira Babu, Bin Han, Noufal Asharaf

Partial Differential Equations in Applied Mathematics. 2021 December; 10.1016/j.padiff.2021.100044

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Qiwei Feng, Bin Han, Peter Minev

Computers & Mathematics with Applications. 2021 October; 10.1016/j.camwa.2021.07.020

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Bin Han, Michelle Michelle, Yau Shu Wong

Computers & Mathematics with Applications. 2021 September; 10.1016/j.camwa.2021.06.015

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