Search Results - "Zhang, Zhengru"

A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters by Lixiu Dong, Lixiu Dong, Cheng Wang, Cheng Wang, Hui Zhang, Hui Zhang, Zhengru Zhang, Zhengru Zhang

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Fully Decoupled, Linear and Unconditionally Energy Stable Schemes for the Binary Fluid-Surfactant Model by Yuzhe Qin, Yuzhe Qin, Zhen Xu, Zhen Xu, Hui Zhang, Hui Zhang, Zhengru Zhang, Zhengru Zhang

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An adaptive BDF2 implicit time-stepping method for the no-slope-selection epitaxial thin film model by Meng, Xiangjun, Zhang, Zhengru

“…In this paper we are concerned with the stability and convergence analysis of the second order backward differentiation formula (BDF2) scheme with variable…”
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Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection by QIAO, ZHONGHUA, SUN, ZHI-ZHONG, ZHANG, ZHENGRU

“…-norm. By introducing an auxiliary variable in the discrete energy functional, the energy stability of both schemes is guaranteed regardless of the time step…”
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ENERGY STABLE NUMERICAL METHOD FOR THE TDGL EQUATION WITH THE RETICULAR FREE ENERGY IN HYDROGEL by Liao, Dong, Zhang, Hui, Zhang, Zhengru

“…Here we focus on the numerical simulation of the phase separation about macromolecule microsphere composite （MMC） hydrogel. The model is based on…”
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Transcriptomics and metabolomics reveal the primary and secondary metabolism changes in Glycyrrhiza uralensis with different forms of nitrogen utilization by Chen, Ying, Bai, Yu, Zhang, ZhengRu, Zhang, YuanFan, Jiang, Yuan, Wang, ShangTao, Wang, YanJun, Sun, Zhirong

“…The roots and rhizomes of Glycyrrhiza uralensis Fisch. represent the oldest and most frequently used herbal medicines in Eastern and Western countries…”
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Effects of Mental Fatigue on Small-World Brain Functional Network Organization by Wang, Chengwu, Jiang, Yonghua, Jiao, Weidong, Xu, Yanting, Zhang, Zhengru, Luo, Youdong, Li, Gang, Huang, Shan

“…Brain functional network has been widely applied to investigate brain function changes among different conditions and proved to be a small-world-like network…”
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An adaptive phase field method for the mixture of two incompressible fluids by Zhang, Zhengru, Tang, Huazhong

“…This paper develops an adaptive moving mesh method to solve a phase field model for the mixture of two incompressible fluids. The projection method is…”
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Moving mesh methods with locally varying time steps by Tan, Zhijun, Zhang, Zhengru, Huang, Yunqing, Tang, Tao

“…The time steps associated with moving mesh methods are proportional to the smallest mesh size in space and as a result they are very small at each time level…”
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A Direct Eigenanalysis of Multibody System in Equilibrium by Zhang, Zhengru, Zhao, Zhihua, Cao, Dazhi, Yang, Cheng, Ren, Gexue

“…This paper presents a direct eigenanalysis procedure for multibody system in equilibrium. The first kind Lagrange’s equation of the dynamics of multibody…”
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An adaptive time-stepping strategy for solving the phase field crystal model by Zhang, Zhengru, Ma, Yuan, Qiao, Zhonghua

“…In this work, we will propose an adaptive time step method for simulating the dynamics of the phase field crystal (PFC) model. The numerical simulation of the…”
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An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation by Zhang, Zhengru, Qiao, Zhonghua

“…This paper studies the numerical simulations for the Cahn-Hilliard equation which describes a phase separation phenomenon. The numerical simulation of the…”
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Second order stabilized semi-implicit scheme for the Cahn–Hilliard model with dynamic boundary conditions by Meng, Xiangjun, Bao, Xuelian, Zhang, Zhengru

“…We study the numerical algorithm and error analysis for the Cahn–Hilliard equation with dynamic boundary conditions. A second-order in time, linear and energy…”
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A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters by Dong, Lixiu, Wang, Cheng, Wise, Steven M., Zhang, Zhengru

“…•Convex-concave analysis for the ternary Cahn-Hilliard system with singular potential.•Unique solvability and positivity-preserving analysis for a finite…”
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A Structure-preserving Implicit Exponential Time Differencing Scheme for Maxwell–Ampère Nernst–Planck Model by Guo, Yunzhuo, Yin, Qian, Zhang, Zhengru

“…The transport of charged particles, which can be described by the Maxwell–Ampère Nernst–Planck (MANP) framework, is essential in various applications including…”
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Resolving small-scale structures in Boussinesq convection by adaptive grid methods by Zhang, Zhengru, Tang, Tao

“…Inviscid Boussinesq convection is a challenging problem both analytically and numerically. Due to the complex dynamic development of small scales and the rapid…”
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A positivity-preserving, linear, energy stable and convergent numerical scheme for the Poisson–Nernst–Planck (PNP) system by Dong, Lixiu, He, Dongdong, Qin, Yuzhe, Zhang, Zhengru

“…This article focuses on the convergence analysis for a fully discrete finite difference scheme for the time-dependent Poisson–Nernst–Planck system. The…”
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Optimal rate convergence analysis of a numerical scheme for the ternary Cahn–Hilliard system with a Flory–Huggins–deGennes energy potential by Dong, Lixiu, Wang, Cheng, Wise, Steven M., Zhang, Zhengru

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An energy-stable finite-difference scheme for the binary fluid-surfactant system by Gu, Shuting, Zhang, Hui, Zhang, Zhengru

“…We present an unconditionally energy stable finite-difference scheme for the binary fluid-surfactant system. The proposed method is based on the convex…”
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A BDF2 energy‐stable scheme for the binary fluid‐surfactant hydrodynamic model by Qin, Yuzhe, Chen, Rui, Zhang, Zhengru

“…A second‐order time stepping scheme is developed for the binary fluid‐surfactant phase‐field model coupled with hydrodynamics by using the scalar auxiliary…”
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