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  • Exact Artificial Boundary Condition for the Poisson Equation in the Simulation of the 2D Schrödinger-Poisson System

    Norbert J. Mauser & Yong Zhang
    2014-12-08
    39792 4238 Pages:764-780
  • New Splitting Methods for Convection-Dominated Diffusion Problems and Navier-Stokes Equations

    Feng Shi, Guoping Liang, Yubo Zhao & Jun Zou
    2014-11-08
    41223 3898 Pages:1239-1262
  • Solving Maxwell's Equation in Meta-Materials by a CG-DG Method

    Ziqing Xie, Jiangxing Wang, Bo Wang & Chuanmiao Chen
    2020-07-31
    41779 3279 Pages:1242-1264
  • A Nonlinear Elimination Preconditioner for Fully Coupled Space-Time Solution Algorithm with Applications to High-Rayleigh Number Thermal Convective Flow Problems

    Haijian Yang & Feng-Nan Hwang
    2019-04-28
    46149 3236 Pages:749-767
  • On the Stability and CPU Time of the Implicit Runge-Kutta Schemes for Steady State Simulations

    Yongle Du & John A. Ekaterinaris
    2018-04-04
    39701 3140 Pages:486-511
  • Pressure-Correction Projection FEM for Time-Dependent Natural Convection Problem

    Jilian Wu, Xinlong Feng & Fei Liu
    2018-04-09
    43443 3181 Pages:1090-1117
  • Stability of a Leap-Frog Discontinuous Galerkin Method for Time-Domain Maxwell's Equations in Anisotropic Materials

    Adérito Araújo, Sílvia Barbeiro & Maryam Khaksar Ghalati
    2018-04-09
    41435 3310 Pages:1350-1375
  • Efficient Numerical Solution of Dynamical Ginzburg-Landau Equations under the Lorentz Gauge

    Huadong Gao
    2019-10-31
    42810 4829 Pages:182-201
  • Characteristic Local Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations

    Shuqin Wang, Weihua Deng, Jinyun Yuan, Yujiang Wu
    2019-10-31
    42241 4717 Pages:202-227
  • Domain Decomposition Preconditioners for the System Generated by Discontinuous Galerkin Discretization of 2D-3T Heat Conduction Equations

    Qiya Hu & Lin Zhao
    2017-10-02
    43097 3215 Pages:1069-1100
  • A Second-Order Finite-Difference Method for Compressible Fluids in Domains with Moving Boundaries

    Alina Chertock, Armando Coco, Alexander Kurganov & Giovanni Russo
    2018-07-03
    47329 5477 Pages:230-263
  • Multi-Valued Solution and Level Set Methods in Computational High Frequency Wave Propagation

    H. Liu, S. Osher & R. Tsai
    2006-01-01
    39506 3837 Pages:765-804
  • Nonstandard Fourier Pseudospectral Time Domain (PSTD) Schemes for Partial Differential Equations

    Bradley E. Treeby, Elliott S. Wise & B. T. Cox
    2018-09-17
    46725 3302 Pages:623-634
  • On the Gauss Runge-Kutta and Method of Lines Transpose for Initial-Boundary Value Parabolic PDEs

    Bo Zhang, Dangxing Chen & Jingfang Huang
    2020-07-31
    42734 3244 Pages:1221-1240
  • A Time-Space Adaptive Method for the Schrödinger Equation

    Katharina Kormann
    2018-04-04
    43488 4741 Pages:60-85
  • Recent Progress in Symplectic Algorithms for Use in Quantum Systems

    X. S. Liu, Y. Y. Qi, J. F. He & P. Z. Ding
    2007-02-01
    39582 4656 Pages:1-53 Open-access
  • A Finite Element Method for Modelling Electromechanical Wave Propagation in Anisotropic Piezoelectric Media

    S. Rahman, H. P. Langtangen & C. H. W. Barnes
    2018-03-24
    39339 3748 Pages:271-292
  • Two-Relaxation-Time Lattice Boltzmann Scheme: About Parametrization, Velocity, Pressure and Mixed Boundary Conditions

    Irina Ginzburg, Frederik Verhaeghe & Dominique d'Humières
    2018-03-24
    46848 4804 Pages:427-478
  • Study of Simple Hydrodynamic Solutions with the Two-Relaxation-Times Lattice Boltzmann Scheme

    Irina Ginzburg, Frederik Verhaeghe & Dominique d'Humières
    2008-03-01
    41756 4298 Pages:519-581
  • The Discrete Orthogonal Polynomial Least Squares Method for Approximation and Solving Partial Differential Equations

    Anne Gelb, Rodrigo B. Platte & W. Steven Rosenthal
    2008-03-01
    39772 4363 Pages:734-758
  • Splitting Finite Difference Methods on Staggered Grids for the Three-Dimensional Time-Dependent Maxwell Equations

    Liping Gao, Bo Zhang & Dong Liang
    2018-03-24
    37473 3663 Pages:405-432
  • A Review of Transparent and Artificial Boundary Conditions Techniques for Linear and Nonlinear Schrödinger Equations

    Xavier Antoine, Anton Arnold, Christophe Besse, Matthias Ehrhardt & Achim Schädle
    2008-04-01
    39989 5025 Pages:729-796 Open-access
  • A Continuum-Atomistic Multi-Timescale Algorithm for Micro/Nano Flows

    Jin Liu, Shiyi Chen, Xiaobo Nie & Mark O. Robbins
    2008-11-05
    37156 4445 Pages:1279-1291
  • Marker-Based, 3-D Adaptive Cartesian Grid Method for Multiphase Flow Around Irregular Geometries

    Eray Uzgoren, Jaeheon Sim & Wei Shyy
    2018-03-24
    39072 6218 Pages:1-41 Open-access
  • Numerical Simulation of an Aortic Flow Based on a HLLC Type Incompressible Flow Solver

    Yang-Yao Niu, Chih-Hung Chang, Wen-Yih I. Tseng, Hsu-Hsia Pen & Hsi-Yu Yu
    2018-03-24
    37631 4369 Pages:142-162
  • Derivation of Hydrodynamics for Multi-Relaxation Time Lattice Boltzmann Using the Moment Approach

    Goetz Kaehler & Alexander J. Wagner
    2020-07-31
    40949 4177 Pages:614-628
  • Simulation of Spherulite Growth Using a Comprehensive Approach to Modeling the First-Order Isotropic/Smectic-A Mesophase Transition

    Nasser Mohieddin Abukhdeir & Alejandro D. Rey
    2018-03-24
    38867 4071 Pages:301-316
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