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A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system

Mathematics of computation, 2021-09, Vol.90 (331), p.2071-2106

2021

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Numerical homogenization of the Richards equation for unsaturated water flow through heterogeneous soils

Water resources research, 2016-11, Vol.52 (11), p.8500-8525

2016

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Numerical complete solution for random genetic drift by energetic variational approach

ESAIM: Mathematical Modelling and Numerical Analysis, 2019-03, Vol.53 (2), p.615-634

2019

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Risk Measurement by G-Expected Shortfall

Mathematical problems in engineering, 2021, Vol.2021, p.1-13

2021

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Application and validation of an upscaling method for unsaturated water flow processes in heterogeneous soils

Vadose zone journal, 2015-07, Vol.14 (7), p.1-23

2015

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Behavior of different numerical schemes for random genetic drift

BIT, 2019-09, Vol.59 (3), p.797-821

2019

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PRICING TIMER OPTIONS: SECOND-ORDER MULTISCALE STOCHASTIC VOLATILITY ASYMPTOTICS

The ANZIAM journal, 2021-04, Vol.63 (2), p.249-267

2021

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A Group Norm Regularized Factorization Model for Subspace Segmentation

IEEE access, 2020, Vol.8, p.106601-106613

2020

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Numerical methods for multiscale elliptic problems

Journal of computational physics, 2006-05, Vol.214 (1), p.421-445

2006

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A Completely Discrete Heterogeneous Multiscale Finite Element Method for Multiscale Richards' Equation of van Genuchten-Mualem Model

Journal of Applied Mathematics, 2014-01, Vol.2014 (2014), p.1-10

2014

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An improved error analysis for a second-order numerical scheme for the Cahn–Hilliard equation

Journal of computational and applied mathematics, 2021-05, Vol.388, p.113300, Article 113300

2021

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Modeling and Simulating Asymmetrical Conductance Changes in Gramicidin Pores

Computational and Mathematical Biophysics, 2014-01, Vol.2 (1)

2014

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An $H^2$ convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn–Hilliard equation

Communications in mathematical sciences, 2016, Vol.14 (2), p.489-515

2016

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A second order operator splitting numerical scheme for the “good” Boussinesq equation

Applied numerical mathematics, 2017-09, Vol.119, p.179-193

2017

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EXPONENTIALLY FITTED LOCAL DISCONTINUOUS GALERKIN METHOD FOR CONVECTION-DIFFUSION PROBLEMS

Journal of computational mathematics, 2012-05, Vol.30 (3), p.298-310

2012

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Numerical methods for porous medium equation by an energetic variational approach

Journal of computational physics, 2019-05, Vol.385, p.13-32

2019

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Homogenization of Richardsʼ equation of van Genuchten–Mualem model

Journal of mathematical analysis and applications, 2014-04, Vol.412 (1), p.391-400

2014

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Numerical methods for multiscale transport equations and application to two-phase porous media flow

Journal of computational physics, 2005-12, Vol.210 (2), p.656-675

2005

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A Second-Order, Weakly Energy-Stable Pseudo-spectral Scheme for the Cahn–Hilliard Equation and Its Solution by the Homogeneous Linear Iteration Method

Journal of scientific computing, 2016-12, Vol.69 (3), p.1083-1114

2016

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Cellular communication among smooth muscle cells: The role of membrane potential via connexins

Journal of theoretical biology, 2024-01, Vol.576, p.111627-111627, Article 111627

2024

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Structure-Preserving Numerical Methods for Nonlinear Fokker--Planck Equations with Nonlocal Interactions by an Energetic Variational Approach

SIAM journal on scientific computing, 2021-01, Vol.43 (1), p.B82-B107

2021

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Expectation-based positivity-preserving noncompact numerical schemes

SCIENTIA SINICA Mathematica, 2024-03, Vol.54 (3), p.515

2024

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An iteration solver for the Poisson–Nernst–Planck system and its convergence analysis

Journal of computational and applied mathematics, 2022-05, Vol.406, p.114017, Article 114017

2022

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Homogenization theory of ion transportation in multicellular tissue

Discrete and continuous dynamical systems. Series B, 2023-11, Vol.28 (11), p.5701-5728

2023

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On the Operator Splitting and Integral Equation Preconditioned Deferred Correction Methods for the “Good” Boussinesq Equation

Journal of scientific computing, 2018-05, Vol.75 (2), p.687-712

2018

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A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system

Numerical homogenization of the Richards equation for unsaturated water flow through heterogeneous soils

Numerical complete solution for random genetic drift by energetic variational approach

Risk Measurement by G-Expected Shortfall

Application and validation of an upscaling method for unsaturated water flow processes in heterogeneous soils

Behavior of different numerical schemes for random genetic drift

PRICING TIMER OPTIONS: SECOND-ORDER MULTISCALE STOCHASTIC VOLATILITY ASYMPTOTICS

A Group Norm Regularized Factorization Model for Subspace Segmentation

Numerical methods for multiscale elliptic problems

A Completely Discrete Heterogeneous Multiscale Finite Element Method for Multiscale Richards' Equation of van Genuchten-Mualem Model

An improved error analysis for a second-order numerical scheme for the Cahn–Hilliard equation

Modeling and Simulating Asymmetrical Conductance Changes in Gramicidin Pores

An $H^2$ convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn–Hilliard equation

A second order operator splitting numerical scheme for the “good” Boussinesq equation

EXPONENTIALLY FITTED LOCAL DISCONTINUOUS GALERKIN METHOD FOR CONVECTION-DIFFUSION PROBLEMS

Numerical methods for porous medium equation by an energetic variational approach

Homogenization of Richardsʼ equation of van Genuchten–Mualem model

Numerical methods for multiscale transport equations and application to two-phase porous media flow

A Second-Order, Weakly Energy-Stable Pseudo-spectral Scheme for the Cahn–Hilliard Equation and Its Solution by the Homogeneous Linear Iteration Method

Cellular communication among smooth muscle cells: The role of membrane potential via connexins

Structure-Preserving Numerical Methods for Nonlinear Fokker--Planck Equations with Nonlocal Interactions by an Energetic Variational Approach

Expectation-based positivity-preserving noncompact numerical schemes

An iteration solver for the Poisson–Nernst–Planck system and its convergence analysis

Homogenization theory of ion transportation in multicellular tissue

On the Operator Splitting and Integral Equation Preconditioned Deferred Correction Methods for the “Good” Boussinesq Equation

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