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 315 - Calculus IV

Vector calculus. Line and surface integrals. The divergence, Green's, and Stokes' theorems. Differential forms. Prerequisite: One of MATH 102, 125 or 127, and either MATH 214 or MATH 217. Notes: Credit can be obtained in at most one of MATH 215 and MATH 315. This course may not be taken for credit if credit has already been obtained in MATH 209 or 317.

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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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