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Solving the Vlasov-Maxwell equations using Hamiltonian splitting 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 396, 页码: 381-399
作者:  Li, Yingzhe;  He, Yang;  Sun, Yajuan;  Niesen, Jitse;  Qin, Hong;  Liu, Jian
收藏  |  浏览/下载：165/0  |  提交时间：2020/01/10
Vlasov-Maxwell system  Poisson bracket  Hamiltonian splitting method  
Filtered Hyperbolic Moment Method for the Vlasov Equation 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 79, 期号: 2, 页码: 969-991
作者:  Di, Yana;  Fan, Yuwei;  Kou, Zhenzhong;  Li, Ruo;  Wang, Yanli
收藏  |  浏览/下载：152/0  |  提交时间：2020/01/10
Hyperbolic moment equations  Vlasov equation  Filter  Landau damping  Two-stream instability  
DASHMM Accelerated Adaptive Fast Multipole Poisson-Boltzmann Solver on Distributed Memory Architecture 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019, 卷号: 25, 期号: 4, 页码: 1235-1258
作者:  Zhang, Bo;  DeBuhr, Jackson;  Niedzielski, Drake;  Mayolo, Silvio;  Lu, Benzhuo;  Sterling, Thomas
收藏  |  浏览/下载：180/0  |  提交时间：2019/03/05
Poisson-Boltzmann equation  boundary element method  DASHMM  distributed computing  
ERGODIC APPROXIMATION TO CHEMICAL REACTION SYSTEM WITH DELAY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 1, 页码: 70-95
作者:  Chen, Chuchu;  Liu, Di
收藏  |  浏览/下载：139/0  |  提交时间：2020/01/10
stochastic delay differential equation  invariant measure  ergodicity  weak convergence order  Malliavin calculus  Poisson random measure  
The dynamics of conservative peakons in a family of U(1)-invariant integrable equations of NLS-Hirota type 期刊论文
STUDIES IN APPLIED MATHEMATICS, 2018, 卷号: 141, 期号: 4, 页码: 680-713
作者:  Anco, Stephen C.;  Chang, Xiangke;  Szmigielski, Jacek
收藏  |  浏览/下载：142/0  |  提交时间：2019/01/11
inverse problems  Pade approximations  peakons  tri-Hamiltonian  weak solutions  
A Time-Dependent Finite Element Algorithm for Simulations of Ion Current Rectification and Hysteresis Properties of 3D Nanopore System 期刊论文
IEEE TRANSACTIONS ON NANOTECHNOLOGY, 2018, 卷号: 17, 期号: 3, 页码: 513-519
作者:  Xu, Jingjie;  Lu, Benzhuo;  Zhang, Linbo
收藏  |  浏览/下载：155/0  |  提交时间：2018/07/30
3D nanopore  analytical test  backward Euler  FEM  ICR  numerical simulation  PNP equations  varying voltage  
A Finite Element Solution of Lateral Periodic Poisson-Boltzmann Model for Membrane Channel Proteins 期刊论文
INTERNATIONAL JOURNAL OF MOLECULAR SCIENCES, 2018, 卷号: 19, 期号: 3, 页码: 17
作者:  Ji, Nan;  Liu, Tiantian;  Xu, Jingjie;  Shen, Longzhu Q.;  Lu, Benzhuo
收藏  |  浏览/下载：170/0  |  提交时间：2018/07/30
laterally periodic Poisson-Boltzmann model  finite element method  membrane channel proteins  pore region  solvation  
Introducing Membrane Transport Energy into the Design of Sustainable Chemicals against Cytotoxicity 期刊论文
ACS SUSTAINABLE CHEMISTRY & ENGINEERING, 2018, 卷号: 6, 期号: 2, 页码: 2055-2061
作者:  Shen, Longzhu Q.;  Nan, Ji;  Lu, Benzhuo
收藏  |  浏览/下载：143/0  |  提交时间：2018/07/30
DFT  Cytotoxicity  Membrane  Finite element  Poisson Boltzmann  Geometry  Sustainability  
ANALYSIS OF THE MEAN FIELD FREE ENERGY FUNCTIONAL OF ELECTROLYTE SOLUTION WITH NONHOMOGENOUS BOUNDARY CONDITIONS AND THE GENERALIZED PB/PNP EQUATIONS WITH INHOMOGENEOUS DIELECTRIC PERMITTIVITY 期刊论文
SIAM JOURNAL ON APPLIED MATHEMATICS, 2018, 卷号: 78, 期号: 2, 页码: 1131-1154
作者:  Liu, Xuejiao;  Qiao, Yu;  Lu, Benzhou
收藏  |  浏览/下载：168/0  |  提交时间：2018/07/30
free energy functional  electrolyte  boundary conditions  variable dielectric  generalized Poisson-Nernst-Planck/Poisson-Boltzmann equations  energy law  
MODIFIED POISSON-NERNST-PLANCK MODEL WITH ACCURATE COULOMB CORRELATION IN VARIABLE MEDIA 期刊论文
SIAM JOURNAL ON APPLIED MATHEMATICS, 2018, 卷号: 78, 期号: 1, 页码: 226-245
作者:  Liu, Pei;  Ji, Xia;  Xu, Zhenli
收藏  |  浏览/下载：172/0  |  提交时间：2018/07/30
charge transport  ion correlation  continuum theory for electrostatics  asymptotic expansion  Green's function  Poisson-Nernst-Planck equations