Thomas
P.Y. Yu
Department of Mathematics, Drexel University 3141 Chestnut Street, Korman 268 Philadelphia, PA 19104 Email: yut [at] drexel [dot] edu Telephone:
215-895-2066, Fax: 215-895-1582
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Publications: Uniqueness of Clifford Torus with Prescribed Isoperimetric Ratio (with Jingmin Chen)(pdf)(Earlier version with discussion on the general uniqueness problem (see Page 1-4)) Numerical Methods for
Biomembranes: Conforming subdivision versus
Non-conforming PL methods Numerical
Methods for Biomembranes based on PL Surfaces (with John Patrick Brogan and Yilin Yang)(pdf)(Proof
of Proposition 1)
A Flexible C^2 Subdivision
Scheme on the Sphere: with application to
biomembrane modelling Approximation of Scattered
Manifold-Valued Data Smoothing Nonlinear
Subdivision Schemes by Averaging On a New Proximity Condition for
Manifold-Valued Subdivision Schemes A
Necessary and Sufficient Proximity Condition for Smoothness
Equivalence of Nonlinear Subdivision Schemes Single Basepoint Subdivision Schemes for
Manifold-Valued Data: Time-Symmetry without Space-Symmetry Invariance Property of
Proximity Condition in Nonlinear Subdivision On Donoho's Log-Exp
Subdivision Scheme: Choice of Retraction and Time-Symmetry Flexible C2
Subdivision Scheme for Genus Zero Surfaces Approximation Order
Equivalence Properties of Manifold-Valued
Data Subdivision Schemes Smoothness Equivalence
Properties of General
Manifold-Valued Data Subdivision Schemes Smoothness Equivalence
Properties of Interpolatory
Lie Group Subdivision Schemes Smoothness Equivalence
Properties of Manifold-Valued Data Subdivision Schemes based
on the Projection Approach How
Data Dependent is a Nonlinear Subdivision Scheme?
Design
of Hermite Subdivision Schemes aided by Spectral
Radius Optimization Multivariate Refinable Hermite Interpolants An Improved Vertex Caching Scheme for 3D Mesh
Rendering Nonlinear Pyramid Transform Based on
Median-Interpolation Interpolation of Medians Smooth Multiwavelet Duals of
Alpert Bases By Moment-Interpolating Refinement |
Research supported by NSF grants CCR 9984501 (CAREER Award), DMS 0542237, DMS 0915068, DMS 1115915, DMS 1522337, DMS 1913038. I am currently recruiting students to work under my NSF project on understanding the geometry of large-scale optimization methods, with applications to various scientific and engineering problems. Please feel free to contact me if interested. Teaching: Winter 2021: Math 449: Mathematical Finance Spring 2020: Math
T690: Methods of Nonlinear Optimization Spring 2019: Math 305: Introduction to Optimization Winter 2018: Fall 2017: Spring 2017: Math 521: Numerical Analysis II Math 520: Numerical Analysis I
Drexel links: Refereed Conference Papers: Cutting
Corners on the Sphere On a Linearization
Principle for Nonlinear p-mean Subdivision Schemes Robust
Nonlinear Wavelet Transform based on Median-Interpolation
Approximation Order/Smoothness Tradeoff in
Hermite Subdivision Schemes Deslaueriers-Dubuc:
Ten Years After
Denoising of Electron Tomographic
Reconstructions from Biological Specimens |