Research Interests
numerical analysis, scientific computing
Publications
Zewen Shen and Kirill Serkh. “Rapid evaluation of Newtonian potentials on planar domains.” SIAM J. Sci. Compt. 46.1 (2024): A609-A628. [arXiv]
Zewen Shen and Kirill Serkh. “On the evaluation of the eigendecomposition of the Airy integral operator.” Appl. Comput. Harmon. Anal. 57 (2022): 105-150. [arXiv] [slides]
Preprints
Zewen Shen and Kirill Serkh. “On polynomial interpolation in the monomial basis” (2022). [arXiv] [slides] [demo]
Zewen Shen and Kirill Serkh. “Accelerating potential evaluation over unstructured meshes in two dimensions.” (2022). [arXiv]
Education
Ph.D in Computer Science, University of Toronto, Advisor: K. Serkh (May 2021 - Current)
H.B.Sc in Computer Science and Mathematics, University of Toronto (Sept. 2017 - Apr. 2021)
Talks
Aug. 2023, Is Polynomial Interpolation in the Monomial Basis Unstable?, ICIAM 2023, Tokyo, Japan
May 2023, Is Polynomial Interpolation in the Monomial Basis Unstable?, University of Waterloo, Waterloo, ON
Apr. 2023, Is Polynomial Interpolation in the Monomial Basis Unstable?, Yale University, New Haven, CT
Apr. 2023, Is Polynomial Interpolation in the Monomial Basis Unstable?, New Jersey Institute of Technology, Newark, NJ
Mar. 2023, Is Polynomial Interpolation in the Monomial Basis Unstable?, New York University, New York, NY
Mar. 2023, Is Polynomial Interpolation in the Monomial Basis Unstable?, Flatiron CCM, New York, NY
July 2022, Accelerating Potential Evaluation over Unstructured Meshes in Two Dimensions, SIAM AN22, Pittsburgh, PA
July 2021, Numerical Computation of the Tracy-Widom Distribution, SIAM AN21, virtual
June 2021, Numerical Computation of the Tracy-Widom Distribution, CAIMS 21, virtual
Aug. 2020, Integral Equation Methods for the Numerical Solution of Partial Dfferential Equations, CUMC 20, virtual
Software
lap2d: A fast direct dense solver with machine accuracy for 2-D Laplace’s equation.
hdp: A numerical library for high-dimensional option pricing problems, including Fourier transform methods, Monte Carlo methods and the deep Galerkin method.
Teaching
Teaching Assistant at University of Toronto
CSC236: Intro to the Theory of Computation
CSC317: Computer Graphics
CSC336: Numerical Methods
CSC446/2310: Computational Methods for Partial Differential Equations
MAT235: Calculus II
Professional Experience
Financial Engineer Intern at Scotiabank, Toronto, ON, Canada (May 2019 - Aug. 2020)
Miscellany
MCGP: An implementation of the paper “Monte Carlo Geometry Processing: A Grid-Free Approach to PDE-Based Methods on Volumetric Domains”.
Numerical methods for high-dimensional option pricing problems: Undergraduate research report (2019).
UofT Profs: Visualizes students’ past feedbacks on both courses and professors at UToronto (the website is down, starting from Jan. 2021).
