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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 > Archive for Preprints (Page 3)

Preprints

A Filon-Clenshaw-Curtis-Smolyak rule for multi-dimensional oscillatory integrals with application to a UQ problem for the Helmholtz equation

Zhang, Z. (with Wu, Z., Graham Ivan G. & Ma, D.)
[PDF]

Preprints 2022

An improved multilevel monte carlo method with 2 application to solving partial differential equations 3 with random coefficiens

Zhang, Z. (with Chen, J., Du, R., Guo, X., Lin, l. & Zhou, X.)
[PDF]

Preprints 2022

A Deep Learning Approach to Nonconvex Energy Minimization for Martensitic Phase Transitions

Zhang, Z. (with Chen, X., Rosakis, P. & Wu, Z.)
[PDF]

Preprints 2022

Holomorphic retractions of bounded symmetric domains onto totally geodesic complex submanifolds

Mok N.
[PDF]

Preprints 2022

A dynamically bi-orthogonal solution method for a Stochastic Lighthill-Whitham-Richards traffic-flow model

Zhang, Z. (with Fan, T., Wong, S.C. & Du, J.)
[PDF]

Preprints 2021

Magnetic confinement for the 2D axisymmetric relativistic Vlasov-Maxwell system in an annulus

Wong, T.K. (with Jang, J.W. & Strain, Robert M.)
[PDF]

Preprints 2021

DeepParticle: learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method

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

Preprints 2021

Pre-classification based stochastic reduced-order model for time-dependent complex system

Zhang, Z. (with Xiong, M., Chen, L. & Ming, J.)
[PDF]

Preprints 2021

A data-driven model reduction method for parabolic inverse source problems and its convergence analysis

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

Preprints 2021

Packing Feedback Arc Sets in Tournaments Exactly

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

Preprints 2021

Convergence analysis of a Lagrangian numerical scheme in computing effective di ffusivity of 3D time-dependent flows

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

Preprints 2021

An iterative algorithm for POD basis adaptation in solving parametric convection-di ffusion equations

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

Preprints 2021

Carathéodory Balls and Proper Holomorphic Maps on Multiply-Connected Planar Domains

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

Preprints 2021

A data-driven and model-based accelerated Hamiltonian Monte Carlo method for Bayesian elliptic inverse problems

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

Preprints 2021

Convergence analysis of an operator-compressed multiscale finite element method for Schrödinger equations with multiscale potentials

Zhang, Z. (with Wu, Z.)
[PDF]

Preprints 2021

Computing KPP front speeds in time-periodic cellular and chaotic flows using an efficient Lagrangian method

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

Preprints 2021

Fridman Function, Injectivity Radius Function and Squeezing Function

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

Preprints 2021

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

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