Zhiwen Zhang
Orcid: 0000-0002-3123-8885Affiliations:
- The University of Hong Kong, Hong Kong
According to our database1,
Zhiwen Zhang authored at least 76 papers
between 2008 and 2026.
Collaborative distances:
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Bibliography
2026
A bidirectional DeepParticle method for efficiently solving low-dimensional transport map problems.
J. Comput. Phys., 2026
J. Comput. Phys., 2026
A dynamic mode decomposition-based Kalman filter for Bayesian inverse problem of nonlinear dynamical systems.
J. Comput. Appl. Math., 2026
Pre-classification based stochastic reduced-order model for time-dependent complex system.
Comput. Math. Appl., 2026
2025
J. Sci. Comput., December, 2025
A fast stochastic interacting particle-field method for 3D parabolic parabolic Chemotaxis systems: numerical algorithms and error analysis.
CoRR, December, 2025
A Stochastic Genetic Interacting Particle Method for Reaction-Diffusion-Advection Equations.
CoRR, November, 2025
Quasi-Monte Carlo time-splitting methods for Schrödinger equation with Gaussian random potential.
CoRR, November, 2025
A DeepLagrangian method for learning and generating aggregation patterns in multi-dimensional Keller-Segel chemotaxis systems.
CoRR, October, 2025
CoRR, October, 2025
Regularity estimate and sparse approximation of pathwise robust Duncan-Mortensen-Zakai equation.
CoRR, September, 2025
CoRR, July, 2025
Numerical approximation of effective diffusivities in homogenization of nondivergence-form equations with large drift by a Lagrangian method.
CoRR, June, 2025
Convergence Analysis of a Stochastic Interacting Particle-Field Algorithm for 3D Parabolic-Parabolic Keller-Segel Systems.
CoRR, April, 2025
A Novel Stochastic Interacting Particle-Field Algorithm for 3D Parabolic-Parabolic Keller-Segel Chemotaxis System.
J. Sci. Comput., March, 2025
A model reduction method for solving the eigenvalue problem of semiclassical random Schrödinger operators.
CoRR, February, 2025
Efficient finite element methods for semiclassical nonlinear Schrödinger equations with random potentials.
CoRR, February, 2025
Computing Large Deviation Rate Functions of Entropy Production for Diffusion Processes by an Interacting Particle Method.
SIAM J. Sci. Comput., 2025
Finite Element Approximation of Stationary Fokker-Planck-Kolmogorov Equations with Application to Periodic Numerical Homogenization.
SIAM J. Numer. Anal., 2025
A Convergent Interacting Particle Method for Computing KPP Front Speeds in Random Flows.
SIAM/ASA J. Uncertain. Quantification, 2025
J. Comput. Phys., 2025
2024
Randomized Methods for Computing Optimal Transport Without Regularization and Their Convergence Analysis.
J. Sci. Comput., August, 2024
Reduced-order model-based variational inference with normalizing flows for Bayesian elliptic inverse problems.
J. Comput. Appl. Math., May, 2024
Error Estimate of a Quasi-Monte Carlo Time-Splitting Pseudospectral Method for Nonlinear Schrödinger Equation with Random Potentials.
SIAM/ASA J. Uncertain. Quantification, March, 2024
A Filon-Clenshaw-Curtis-Smolyak rule for multi-dimensional oscillatory integrals with application to a UQ problem for the Helmholtz equation.
Math. Comput., 2024
A Stochastic Interacting Particle-Field Algorithm for a Haptotaxis Advection-Diffusion System Modeling Cancer Cell Invasion.
CoRR, 2024
CoRR, 2024
A structure-preserving scheme for computing effective diffusivity and anomalous diffusion phenomena of random flows.
CoRR, 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.
CoRR, 2024
2023
A data-driven and model-based accelerated Hamiltonian Monte Carlo method for Bayesian elliptic inverse problems.
Stat. Comput., August, 2023
IEEE Trans. Autom. Control., July, 2023
A dynamically bi-orthogonal solution method for a stochastic Lighthill-Whitham-Richards traffic flow model.
Comput. Aided Civ. Infrastructure Eng., July, 2023
A data-driven model reduction method for parabolic inverse source problems and its convergence analysis.
J. Comput. Phys., 2023
Stochastic convergence of regularized solutions for backward heat conduction problems.
CoRR, 2023
2022
A Convergent Interacting Particle Method and Computation of KPP Front Speeds in Chaotic Flows.
SIAM J. Numer. Anal., 2022
Convergence Analysis of the Localized Orthogonal Decomposition Method for the Semiclassical Schrödinger Equations with Multiscale Potentials.
J. Sci. Comput., 2022
DeepParticle: Learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method.
J. Comput. Phys., 2022
Deterministic-Statistical Approach for an Inverse Acoustic Source Problem using Multiple Frequency Limited Aperture Data.
CoRR, 2022
CoRR, 2022
A DeepParticle method for learning and generating aggregation patterns in multi-dimensional Keller-Segel chemotaxis systems.
CoRR, 2022
A Deep Learning Approach to Nonconvex Energy Minimization for Martensitic Phase Transitions.
CoRR, 2022
Pre-classification based stochastic reduced-order model for time-dependent complex system.
CoRR, 2022
2021
Error Estimates for a POD Method for Solving Viscous G-Equations in Incompressible Cellular Flows.
SIAM J. Sci. Comput., 2021
Sharp Error Estimates on a Stochastic Structure-Preserving Scheme in Computing Effective Diffusivity of 3D Chaotic Flows.
Multiscale Model. Simul., 2021
J. Comput. Phys., 2021
Convergence analysis of an operator-compressed multiscale finite element method for Schrödinger equations with multiscale potentials.
CoRR, 2021
Convergence analysis of a Lagrangian numerical scheme in computing effective diffusivity of 3D time-dependent flows.
CoRR, 2021
2020
Proper Orthogonal Decomposition Method to Nonlinear Filtering Problems in Medium-High Dimension.
IEEE Trans. Autom. Control., 2020
Convergence Analysis of Stochastic Structure-Preserving Schemes for Computing Effective Diffusivity in Random Flows.
SIAM J. Numer. Anal., 2020
A Data-Driven Approach for Multiscale Elliptic PDEs with Random Coefficients Based on Intrinsic Dimension Reduction.
Multiscale Model. Simul., 2020
A Multiscale Reduced Basis Method for the Schrödinger Equation With Multiscale and Random Potentials.
Multiscale Model. Simul., 2020
J. Comput. Phys., 2020
Proper orthogonal decomposition method for multiscale elliptic PDEs with random coefficients.
J. Comput. Appl. Math., 2020
Expert Syst. Appl., 2020
2019
A Multiscale Finite Element Method for the Schrödinger Equation with Multiscale Potentials.
SIAM J. Sci. Comput., 2019
A Model Reduction Method for Multiscale Elliptic Pdes with Random Coefficients Using an Optimization Approach.
Multiscale Model. Simul., 2019
J. Comput. Phys., 2019
An adaptive dynamically low-dimensional approximation method for multiscale stochastic diffusion equations.
J. Comput. Appl. Math., 2019
Efficient multiscale methods for the semiclassical Schrödinger equation with time-dependent potentials.
CoRR, 2019
A class of robust numerical methods for solving dynamical systems with multiple time scales.
CoRR, 2019
Solving high-dimensional nonlinear filtering problems using a tensor train decomposition method.
CoRR, 2019
Convergence of stochastic structure-preserving schemes for computing effective diffusivity in random flows.
CoRR, 2019
2018
Computing Effective Diffusivity of Chaotic and Stochastic Flows Using Structure-Preserving Schemes.
SIAM J. Numer. Anal., 2018
Cluster-based generalized multiscale finite element method for elliptic PDEs with random coefficients.
J. Comput. Phys., 2018
Int. J. Approx. Reason., 2018
2015
A Multiscale Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficients.
Multiscale Model. Simul., 2015
2013
SIAM/ASA J. Uncertain. Quantification, 2013
A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations I: Derivation and algorithms.
J. Comput. Phys., 2013
A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations II: Adaptivity and generalizations.
J. Comput. Phys., 2013
2011
An Eulerian Surface Hopping Method for the Schrödinger Equation with Conical Crossings.
Multiscale Model. Simul., 2011
Adaptive artificial boundary condition for the two-level Schrödinger equation with conical crossings.
J. Comput. Phys., 2011
2008
Split local absorbing conditions for one-dimensional nonlinear Klein-Gordon equation on unbounded domain.
J. Comput. Phys., 2008