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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

Preprints

OPERATOR INFERENCE FOR ELLIPTIC EIGENVALUE PROBLEMS

Zhang, Z. (with Li, A. & Sun, J.)

[PDF]

Preprints 2025

CONVERGENCE ANALYSIS OF A STOCHASTIC INTERACTING 2 PARTICLE-FIELD ALGORITHM FOR 3D PARABOLIC-PARABOLIC KELLER-SEGEL SYSTEMS

 Zhang, Z. (with Hu, B., Wang, Z. & Xin, J.) 

[PDF]

Preprints 2025

A Bidirectional DeepParticle Method for Efficiently Solving Low-dimensional Transport Map Problems

Zhang, Z. (with Wang, Z., Xin, J. & Zhang, T.)

[PDF]

Preprints 2025

QUASI-MONTE CARLO TIME-SPLITTING METHODS FOR SCHRÖDINGER EQUATION WITH GAUSSIAN RANDOM POTENTIAL

Zhang, Z. (with Wu, Z. & Zhao, X.)

[PDF]

Preprints 2025

Discontinuous Extreme Learning Machine for Interface and Free Boundary Problems

Zhang, Z. (with Lin, A., Zhao, W. & Zhao, W.)

[PDF]

Preprints 2025

Random Batch Method with Momentum Correction

Zhang, Z. (with Zhao, Y. & Chen, J.)

[PDF]

Preprints 2025

Neural Network Poisson–Boltzmann Electrostatics for Biomolecular Interactions

Zhang, Z. (with Huang, Z., Li, B. & Wang, Z.)

[PDF]

Preprints 2025

A MODEL REDUCTION METHOD FOR THE EIGENVALUE 2 PROBLEM OF SEMICLASSICAL RANDOM SCHRÖDINGER OPERATORS

Zhang, Z. (with Li, P.)

[PDF]

Preprints 2024

COINTEGRATION TEST IN TIME SERIES ANALYSIS BY GLOBAL OPTIMISATION

Zhang, Z. (with Lin, A.Q.)

[PDF]

Preprints 2024

FINITE ELEMENT APPROXIMATION OF STATIONARY FOKKER–PLANCK–KOLMOGOROV EQUATIONS WITH APPLICATION TO PERIODIC NUMERICAL HOMOGENIZATION

Zhang, Z. (with Sprekeler, T. & Süli, E.)

[PDF]

Preprints 2024

A NOVEL METHOD AVOIDING INVERSE CRIME IN SOLVING 2 INVERSE PROBLEMS OF PARABOLIC TYPE USING MODEL REDUCTION METHODS

Zhang, Z. (with Zhang, W.)

[PDF]

Preprints 2024

A Stochastic Interacting Particle-Field Algorithm for a Haptotaxis Advection-Diffusion System Modeling Cancer Cell Invasion

Zhang, Z. (with Hu, B., Wang, Z. & Xin, J.)

[ PDF]

Preprints 2024

A structure-preserving scheme for computing effective diffusivity and anomalous diffusion phenomena of random flows

Zhang, Z. (with Zhang, T., Wang, Z. & Xin, J.)

[PDF]

Preprints 2024

Gradient-enhanced sparse Hermite polynomial expansions for pricing and hedging high-dimensional American options

Li, G. (with Yang, J.)

[PDF]

Preprints 2024

EFFICIENT FINITE ELEMENT METHODS FOR SEMICLASSICAL NONLINEAR SCHRÖDINGER EQUATIONS WITH RANDOM POTENTIALS

Zhang, Z. (with Li, P.)

[PDF]

Preprints 2024

Computing Large Deviation Rate Functions of Entropy Production for Diffusion Processes in the Vanishing-Noise Limit and High Dimensions by an Interacting Particle Method

Zhang, Z. (with Wu, Z., Raquépas R. & Xin, J.)

[PDF]

Preprints 2024

Adaptive nite element approximations of the rst eigenpair associated with p-Laplacian

Li, G. (with Li, J., Merten. J, Xu, Y. & Zhu, S.)

[PDF]

Preprints 2024

Neural Option Pricing for Rough Bergomi Model

Li, G. (with Teng, C.)

[PDF]

Preprints 2024

CONSTRUCTION OF SIMPLE QUOTIENTS OF BERNSTEIN-ZELEVINSKY DERIVATIVES AND HIGHEST DERIVATIVE MULTISEGMENTS III: PROPERTIES OF MINIMAL SEQUENCES

Chan, K.Y.

[PDF]

Preprints 2024

THE SPECTRAL BASE AND QUOTIENTS OF BOUNDED SYMMETRIC DOMAINS BY COCOMPACT LATTICES

Mok, N. (with He, S. & Liu, J.)

[PDF]

Preprints 2024

CONSTRUCTION OF SIMPLE QUOTIENTS OF BERNSTEIN-ZELEVINSKY DERIVATIVES AND HIGHEST DERIVATIVE MULTISEGMENTS II: MINIMAL SEQUENCES

Chan, K.Y.

[PDF]

Preprints 2023

CONSTRUCTION OF SIMPLE QUOTIENTS OF BERNSTEIN-ZELEVINSKY DERIVATIVES AND HIGHEST DERIVATIVE MULTISEGMENTS I: REDUCTION TO COMBINATORICS

Chan, K.Y.

[PDF]

Preprints 2023

Quasi-Monte Carlo finite element approximation of the Navier–Stokes equations with log-normal initial data

Li, G. (with Ko, S. & Yu, Y.)

[PDF]

Preprints 2023

On Sparse Grid Interpolation for American Option Pricing with Multiple Underlying Assets

Li, G. (with Yang, J.)

[PDF]

Preprints 2023

An hp-Adaptive Sampling Algorithm on Dispersion Relation Reconstruction for 2D Photonic Crystals

Li, G. (with Wang, Y.)

[PDF]

Preprints 2023

Wavelet-based Edge Multiscale Finite Element Methods for Singularly Perturbed Convection-Diffusion Equations

Li, G. (with Chung, E. & Fu, S.)

[PDF]

Preprints 2023

ON THE REAL ZEROS OF DEPTH 1 QUASIMODULAR FORMS

Lee, W. (with IM, B.)

[PDF]

Preprints 2023

A CORRELATIVELY SPARSE LAGRANGE MULTIPLIER 2 EXPRESSION RELAXATION FOR POLYNOMIAL OPTIMIZATION

Qu, Z. (with Tang, X.)

[PDF]

Preprints 2023

Globally Solving Concave Quadratic Program via Doubly Nonnegative Relaxation

Qu, Z. (with Lou, Y. & Zeng, T.)

[PDF]

Preprints 2023

A Gröbner Basis Approach to Combinatorial Nullstellensatz

Han, G. (with Kan, H. & Xu, Y.)

[PDF]

Preprints 2023

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