64 citations · 212 across the 21 of their papers we have counts for
21 papers
HEI: hybrid explicit-implicit learning for multiscale problems
Yalchin Efendiev, Wing Tat Leung, Guang Lin +1
Splitting is a method to handle application problems by splitting physics, scales, domain, and so on. Many splitting algorithms have been designed for efficient temporal discretiza…
Multi-variance replica exchange stochastic gradient MCMC for inverse and forward Bayesian physics-informed neural network
Guang Lin, Yating Wang, Zecheng Zhang
Physics-informed neural network (PINN) has been successfully applied in solving a variety of nonlinear non-convex forward and inverse problems. However, the training is challenging…
Flow-driven spectral chaos (FSC) method for long-time integration of second-order stochastic dynamical systems
Hugo Esquivel, Arun Prakash, Guang Lin
For decades, uncertainty quantification techniques based on the spectral approach have been demonstrated to be computationally more efficient than the Monte Carlo method for a wide…
Implementing contact angle boundary conditions for second-order Phase-Field models of wall-bounded multiphase flows
Ziyang Huang, Guang Lin, Arezoo M. Ardekani
In the present work, a general formulation is proposed to implement the contact angle boundary conditions for the second-order Phase-Field models, which is applicable to -phase…
A consistent and conservative Phase-Field model for thermo-gas-liquid-solid flows including liquid-solid phase change
Ziyang Huang, Guang Lin, Arezoo M. Ardekani
In the present study, a consistent and conservative Phase-Field model is developed to study thermo-gas-liquid-solid flows with liquid-solid phase change. The proposed model is deri…
A consistent and conservative model and its scheme for -phase--component incompressible flows
Ziyang Huang, Guang Lin, Arezoo M. Ardekani
In the present work, we propose a consistent and conservative model for multiphase and multicomponent incompressible flows, where there can be arbitrary numbers of phases and compo…
Flow-driven spectral chaos (FSC) method for simulating long-time dynamics of arbitrary-order non-linear stochastic dynamical systems
Hugo Esquivel, Arun Prakash, Guang Lin
Uncertainty quantification techniques such as the time-dependent generalized polynomial chaos (TD-gPC) use an adaptive orthogonal basis to better represent the stochastic part of t…
A consistent and conservative volume distribution algorithm and its applications to multiphase flows using Phase-Field models
Ziyang Huang, Guang Lin, Arezoo M. Ardekani
In the present study, the multiphase volume distribution problem, where there can be an arbitrary number of phases, is addressed using a consistent and conservative volume distribu…
A consistent and conservative Phase-Field method for multiphase incompressible flows
Ziyang Huang, Guang Lin, Arezoo M. Ardekani
A consistent and conservative Phase-Field method, including both the model and scheme, is developed for multiphase flows with an arbitrary number of immiscible and incompressible f…
Inverse modeling of hydrologic parameters in CLM4 via generalized polynomial chaos in the Bayesian framework
Georgios Karagiannis, Zhangshuan Hou, Maoyi Huang +1
In this study, the applicability of generalized polynomial chaos (gPC) expansion for land surface model parameter estimation is evaluated. We compute the (posterior) distribution o…
Bayesian identification of discontinuous fields with an ensemble-based variable separation multiscale method
Na Ou, Guang Lin, Lijian Jiang
This work presents a multiscale model reduction approach to discontinuous fields identification problems in the framework of Bayesian inference. An ensemble-based variable separati…
Regularity and spectral methods for two-sided fractional diffusion equations with a low-order term
Zhaopeng Hao, Guang Lin, Zhongqiang Zhang
We study regularity and numerical methods for two-sided fractional diffusion equations with a lower-order term. We show that the regularity of the solution in weighted Sobolev spac…
Uncertainty quantification of thermal conductivities from equilibrium molecular dynamics simulations
Zuyuan Wang, Salar Safarkhani, Guang Lin +1
Equilibrium molecular dynamics (EMD) simulations along with the Green-Kubo formula have been widely used to calculate lattice thermal conductivities. Previous studies, however, foc…
Finite difference schemes for multi-term time-fractional mixed diffusion-wave equations
Zhao-peng Hao, Guang Lin
The multi-term time-fractional mixed diffusion-wave equations (TFMDWEs) are considered and the numerical method with its error analysis is presented in this paper. First, a ap…
A second-order difference scheme for the time fractional substantial diffusion equation
Zhaopeng Hao, Wanrong Cao, Guang Lin
In this work, a second-order approximation of the fractional substantial derivative is presented by considering a modified shifted substantial Grünwald formula and its asymptotic e…
A consistent hierarchy of generalized kinetic equation approximations to the chemical master equation applied to surface catalysis
Gregory Herschlag, Sorin Mitran, Guang Lin
We develop a hierarchy of approximations to the master equation for systems that exhibit translational invariance and finite-range spatial correlation. Each approximation within th…
Numerical Solution of 3D Poisson-Nernst-Planck Equations Coupled with Classical Density Functional Theory for Modeling Ion and Electron Transport in a Confined Environment
Da Meng, Bin Zheng, Guang Lin +1
We have developed efficient numerical algorithms for solving 3D steady-state Poisson-Nernst-Planck (PNP) equations with excess chemical potentials described by the classical densit…
Fluorescence Correlation Spectroscopy and Nonlinear Stochastic Reaction-Diffusion
Mauricio J. Del Razo, Wenxiao Pan, Hong Qian +1
The currently existing theory of fluorescence correlation spectroscopy(FCS) is based on the linear fluctuation theory originally developed by Einstein, Onsager, Lax, and others as…
Block Triangular Preconditioning for Stochastic Galerkin Method
Bin Zheng, Guang Lin, Jinchao Xu
In this paper we study fast iterative solvers for the large sparse linear systems resulting from the stochastic Galerkin discretization of stochastic partial differential equations…
The Effect of Nonlinearity in Hybrid KMC-Continuum models
Ariel Balter, Guang Lin, Alexandre M. Tartakovsky
Recently there has been interest in developing efficient ways to model heterogeneous surface reactions with hybrid computational models that couple a KMC model for a surface to a f…
Renormalization Group and Asymptotics of Solutions of Nonlinear Parabolic Equations
J. Bricmont, A. Kupiainen, G. Lin
We present a general method for studying long time asymptotics of nonlinear parabolic partial differential equations. The method does not rely on a priori estimates such as the max…