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. 

MATH 535 - Numerical Methods I

Direct and iterative methods for solving linear systems, iterative methods for nonlinear systems, polynomial and spline interpolations, least square approximation, numerical differentiation and integration, initial value problems for ODE's (one-step, multistep methods, stiff ODE's). Prerequisite: 400-level MATH course. Students are required to have knowledge of advanced Calculus and introductory knowledge in Analysis and Linear Algebra and some computer programming. Note 1: Restricted to graduate students only. Note 2: May not be taken for credit if credit has already been obtained in MATH 381, 481 or 486 or equivalent.

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MATH 663 - Topics in Applied Mathematics I

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Browse more courses taught by Bin Han

Journal of Scientific Computing. 2025 January; 10.1007/s10915-025-02924-y

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Journal of Computational Physics. 2024 January; 10.1016/j.jcp.2023.112635

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Foundations of Computational Mathematics. 2023 January; 10.1007/s10208-021-09543-7

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Applied and Computational Harmonic Analysis. 2023 January; 10.1016/j.acha.2023.02.002

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Communications in Computational Physics. 2023 January; 10.4208/cicp.OA-2023-0062

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Computers and Mathematics with Applications. 2021 January; 10.1016/j.camwa.2021.06.015

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Applied and Computational Harmonic Analysis. 2021 January; 10.1016/j.acha.2021.02.006

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Applied and Computational Harmonic Analysis. 2020 January; 10.1016/j.acha.2018.12.001

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2019 13th International Conference on Sampling Theory and Applications Sampta 2019. 2019 January; 10.1109/SampTA45681.2019.9030961

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Applied and Computational Harmonic Analysis. 2019 January; 10.1016/j.acha.2017.12.001

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Journal of Fourier Analysis and Applications. 2019 January; 10.1007/s00041-019-09687-9

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Applied and Numerical Harmonic Analysis. 2017 January;

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Science China Mathematics. 2017 January; 10.1007/s11425-017-9145-4

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Applied and Computational Harmonic Analysis. 2016 January; 10.1016/j.acha.2015.07.003

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Journal of Mathematical Imaging and Vision. 2016 January; 10.1007/s10851-015-0589-5

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SIAM Journal on Imaging Sciences. 2014 January; 10.1137/130928558

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Applied and Computational Harmonic Analysis. 2012 January; 10.1016/j.acha.2011.04.002

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SIAM Journal on Mathematical Analysis. 2010 January; 10.1137/100785508

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Applied and Computational Harmonic Analysis. 2010 January; 10.1016/j.acha.2010.01.004

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Constructive Approximation. 2009 January; 10.1007/s00365-008-9027-x

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SIAM Journal on Mathematical Analysis. 2008 January; 10.1137/060661016

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Constructive Approximation. 2004 January; 10.1007/s00365-004-0567-4

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Applied and Computational Harmonic Analysis. 2003 January; 10.1016/S1063-5203(02)00511-0

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Journal of Approximation Theory. 2003 January; 10.1016/S0021-9045(03)00120-5

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SIAM Journal on Mathematical Analysis. 2000 January; 10.1137/S0036141098336418

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SIAM Journal on Mathematical Analysis. 1998 January; 10.1137/S0036141097294032

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Applied and Computational Harmonic Analysis. 1997 January; 10.1006/acha.1997.0217

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