Lei Li

Available identifiers

zbMath Open li.lei.1WikidataQ42670017 ScholiaQ42670017MaRDI QIDQ683489

List of research outcomes

Publication	Date of Publication	Type
Existence of weak solutions to \(p\)-Navier-Stokes equations	2024-02-20	Paper
A machine learning framework for geodesics under spherical Wasserstein-Fisher-Rao metric and its application for weighted sample generation	2024-01-05	Paper
On the completely positive kernels for nonuniform meshes	2023-10-02	Paper
Solving stationary nonlinear Fokker-Planck equations via sampling	2023-09-30	Paper
Ergodicity and long-time behavior of the Random Batch Method for interacting particle systems	2023-06-23	Paper
A class of monotonicity-preserving variable-step discretizations for Volterra integral equations and time fractional ordinary differential equations	2023-04-13	Paper
Geometric ergodicity of SGLD via reflection coupling	2023-01-17	Paper
Random Batch Methods for Classical and Quantum Interacting Particle Systems and Statistical Samplings	2022-11-29	Paper
On the Random Batch Method for Second Order Interacting Particle Systems	2022-08-26	Paper
Some Random Batch Particle Methods for the Poisson-Nernst-Planck and Poisson-Boltzmann Equations	2022-08-05	Paper
On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplified Non-Local Hyperbolic Model	2022-08-05	Paper
A sharp uniform-in-time error estimate for Stochastic Gradient Langevin Dynamics	2022-07-19	Paper
Fluctuation suppression and enhancement in interacting particle systems	2022-04-16	Paper
On the mean field limit of the random batch method for interacting particle systems	2022-01-24	Paper
Complete monotonicity-preserving numerical methods for time fractional ODEs	2021-12-08	Paper
A Random Batch Ewald Method for Particle Systems with Coulomb Interactions	2021-08-09	Paper
A consensus-based global optimization method for high dimensional machine learning problems	2021-07-07	Paper
Scheduling fixed length quarantines to minimize the total number of fatalities during an epidemic	2021-06-30	Paper
Convergence of the Random Batch Method for Interacting Particles with Disparate Species and Weights	2021-03-19	Paper
Random batch methods (RBM) for interacting particle systems	2021-01-27	Paper
Patched peakon weak solutions of the modified Camassa-Holm equation	2020-12-09	Paper
A stochastic version of Stein variational gradient descent for efficient sampling	2020-07-24	Paper
Large time behaviors of upwind schemes and $B$-schemes for Fokker-Planck equations on $\mathbb {R}$ by jump processes	2020-06-15	Paper
A Random-Batch Monte Carlo Method for Many-Body Systems with Singular Kernels	2020-05-29	Paper
Numerical approximation and fast evaluation of the overdamped generalized Langevin equation with fractional noise	2020-05-18	Paper
Uniform-in-time weak error analysis for stochastic gradient descent algorithms via diffusion approximation	2020-04-07	Paper
On the mean field limit for Brownian particles with Coulomb interaction in 3D	2019-12-17	Paper
A Discretization of Caputo Derivatives with Application to Time Fractional SDEs and Gradient Flows	2019-09-16	Paper
On the diffusion approximation of nonconvex stochastic gradient descent	2019-03-27	Paper
A discretization of Caputo derivatives with application to time fractional SDEs and gradient flows	2019-01-10	Paper
Numerical methods for stochastic differential equations based on Gaussian mixture	2018-12-31	Paper
Continuous and discrete one dimensional autonomous fractional ODEs	2018-12-27	Paper
Random batch methods (RBM) for interacting particle systems	2018-12-26	Paper
Analytical solution for laterally loaded long piles based on Fourier-Laplace integral	2018-12-17	Paper
Semigroups of stochastic gradient descent and online principal component analysis: properties and diffusion approximations	2018-10-25	Paper
Numerical study of ergodicity for the overdamped Generalized Langevin Equation with fractional noise	2018-10-09	Paper
Large time behaviors of upwind schemes by jump processes	2018-07-22	Paper
Some Compactness Criteria for Weak Solutions of Time Fractional PDEs	2018-07-18	Paper
A note on one-dimensional time fractional ODEs	2018-06-21	Paper
A Dispersive Regularization for the Modified Camassa--Holm Equation	2018-06-05	Paper
A Generalized Definition of Caputo Derivatives and Its Application to Fractional ODEs	2018-06-05	Paper
Cauchy problems for Keller-Segel type time-space fractional diffusion equation	2018-04-24	Paper
A locally gradient-preserving reinitialization for level set functions	2018-03-13	Paper
\(p\)-Euler equations and \(p\)-Navier-Stokes equations	2018-02-06	Paper
Fractional stochastic differential equations satisfying fluctuation-dissipation theorem	2017-12-14	Paper
A note on deconvolution with completely monotone sequences and discrete fractional calculus	2017-11-28	Paper
Swimming and pumping by helical waves in viscous and viscoelastic fluids	2015-12-10	Paper
The sedimentation of flexible filaments	2014-08-29	Paper

Research outcomes over time

Doctoral students

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