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Numerical Analysis Seminar – Optimal Control Design for Fluid Mixing: from Open-Loop to Closed-Loop
Numerical Analysis Seminar – Reduced-Order Models in Computational Science and Engineering: fundamentals and applications
Analysis and PDE Seminar – Regular solutions to Lp Minkowski problem
Number Theory Seminar – Sum product phenomenon and super approximation
Numerical Analysis Seminar – Physics-informed neural networks for multiscale hyperbolic models for the spatial spread of infectious diseases
Optimization and Machine Learning Seminar – Lyapunov Stability of the Subgradient Method with Constant Step Size
Numerical Analysis Seminar – A New Framework for Solving Dynamical Systems
Numerical Analysis Seminar – Dynamical Low Rank approximation of random time dependent problems
Analysis and PDE Seminar – On Liouville-type theorems for the stationary MHD equations
Institute of Mathematical Research

Institute of Mathematical Research

Department of Mathematics, The University of Hong Kong

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Institute of Mathematical Research > Preprints > Archive for Preprints 2011-2020

Preprints 2011-2020

A Second Order Accuracy Preserving Method for Moving Contact Line Problems

Chai, S. & Zhang, Z. (with Zhang, Z.)
[PDF]

Preprints 2020

Average Bound Toward the Generalized Ramanujan Conjecture and Its Applications on Sato-Tate Laws for GL(n)

Lau, Y.-K. (with Ng, M.H. & Wang, Y.)
[PDF]

Preprints 2020

Deterministic Algorithm for the Capacity of Finite-State Channels

Wu, C. & Han, G. (with Anantharam, V. & Marcus, B.)
[PDF]

Preprints 2020

On Sampling Continuous-Time AWGN Channels

Han, G. (with Shamai, S.)
[PDF]

Preprints 2020

The Squeezing Function on Doubly-Connected Domains via the Loewner Differential Equation

Ng, T.W., Tang, C.C. & Tsai, J.
[PDF]

Preprints 2020

Hypertranscendency of Perturbations of Hypertranscendental Functions

Huang, J. & Ng, T.-W.
[PDF]

Preprints 2020

On the Exceptional Set of the Generalized Ramanujan Conjecture for GL(3)

Lau, Y.-K. (with Ng, M.H. & Wang, Y.)
[PDF]

Preprints 2020

A Large Sieve Inequality of Elliott-Montgomery-Vaughan Type for Maass Forms on GL(n; $\mathbb R$) with Application

Lau, Y.-K. (with Ng, M.H., Royer, E. & Wang, Y.)
[PDF]

Preprints 2020

A multiscale multilevel Monte Carlo method for multiscale elliptic PDEs with random coefficients

Lyu, J. & Zhang, Z.
[PDF]

Preprints 2020

Connecting exciton diffusion with surface roughness via deep learning

Lyu, L. & Zhang, Z (with Chen, J.)
[PDF]

Preprints 2019

On proper holomorphic maps between bounded symmetric domains

Chan, S.T.
[PDF]

Preprints 2019

Efficient multiscale methods for the semiclassical Schrödinger equation with time-dependent potentials

Li, S. & Zhang, Z. (with Chen, J.)
[PDF]

Preprints 2019

A class of robust numerical methods for solving dynamical systems with multiple time scales

Zhang, Z. & Wang, Z. (with Hou, T.Y.)
[PDF]

Preprints 2019

Ax-Schanuel Type Theorems on Functional Transcendence via Nevanlinna Theory

Huang, J. & Ng, T.W.
[PDF]

Preprints 2019

Schur rigidity of Schubert varieties in rational homogeneous manifolds of Picard number one

Mok, N. (with Hong, J.)
[PDF]

Preprints 2019

Hyberbolic Belyi maps and Shabat-Blaschke products

Ng, T.W. (with Chiu, K.C.T.)
[PDF]

Preprints 2019

A data-driven approach for multiscale elliptic PDEs with random coefficients based on intrinsic dimension reduction

Li, S. & Zhang, Z. (with Zhao, H.)
[PDF]

Preprints 2019

A multiscale reduced basis method for Schrödinger equation with multiscale and random potentials

Ma, D. & Zhang, Z. (with Chen, J.)
[PDF]

Preprints 2019

Convergence of stochastic structure-preserving schemes for computing effective diffusivity in random flows

Lyu, J., Wang, Z. & Zhang, Z. (with Xin, J.)
[PDF]

Preprints 2019

Rigidity of certain admissible pairs of rational homogeneous spaces of Picard number 1 which are not of the subdiagram type

Mok, N.
[PDF]

Preprints 2019

Proof of the Goldberg-Seymour Conjecture on Edge-Colorings of Multigraphs

Zang, W. (with Chen, G. & Jing, G.)
[PDF]

Preprints 2019

Asymptotic total geodesy of local holomorphic curves exiting a bounded symmetric domain and applications to a uniformization problem for algebraic subsets

Chan, S.-T. & Mok, N.  
[PDF]

Preprints 2018

An efficient numerical method for uncertainty quantification in cardiology models

Zhang, Z. (with Gao, X. & Ying, W.)  
[PDF]

Preprints 2018

Proper orthogonal decomposition method for multiscale elliptic PDEs with random coefficients

Ma, D., Ching, W.-K. & Zhang, Z.  
[PDF]

Preprints 2018

Sharp uniform in time error estimate on a stochastic structure-preserving Lagrangian method and computation of effective diffusivity in 3D chaotic flows

Zhang, Z. & Wang, Z. (with Xin, J.)  
[PDF]

Preprints 2018

Densities, Matchings, and Fractional Edge-Colorings

Zang, W. (with Chen, X. & Zhao, Q.)  
[PDF]

Preprints 2018

Ax-Schanuel for Shimura Varieties

Mok, N. (with Pila, J. & Tsimerman, J.)  
[PDF]

Preprints 2018

An efficient model reduction method for solving viscous G-equations in incompressible cellular flows

Zhang, Z. (with Gua, H. & Xinb, J.)  
[PDF]

Preprints 2018

A multiscale finite element method for the Schrödinger equation with multiscale potentials

Ma, D. & Zhang, Z. (with Chen, J.)
[PDF]

Preprints 2018

A mesh-free method for interface problems using the deep learning approach

Wang, Z. & Zhang, Z.
[PDF]

Preprints 2019

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