Search Results

• A Second-Order Energy Stable BDF Numerical Scheme for the Viscous Cahn-Hilliard Equation with Logarithmic Flory-Huggins Potential

  Danxia Wang, Xingxing Wang, Hongen Jia

  2021-04-13

  44491 3200 Pages:867-891

• A New Finite Volume Element Formulation for the Non-Stationary Navier-Stokes Equations

  Zhendong Luo

  2014-06-01

  42778 4334 Pages:615-636

• A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows

  Adyllyson H. Nascimento, Eugênio S. Rosa

  2023-12-21

  26519 2291 Pages:47-74

• An Upwind-Block-Centered Multistep Difference Method for a Semiconductor Device and Numerical Analysis

  Yirang Yuan, Changfeng Li, Huailing Song

  2025-03-14

  11184 805 Pages:706-731

• New Conservative Finite Volume Element Schemes for the Modified Regularized Long Wave Equation

  Jinliang Yan, Ming-Chih Lai, Zhilin Li, Zhiyue Zhang

  2018-05-05

  41583 3003 Pages:250-271

• A High-Order NVD/TVD-Based Polynomial Upwind Scheme for the Modified Burgers' Equations

  Wei Gao, Yang Liu, Bin Cao, Hong Li

  2012-04-01

  41216 4342 Pages:617-635

• A Well-Balanced Weighted Compact Nonlinear Scheme for Pre-Balanced Shallow Water Equations

  Mingyang Cheng, Lingyan Tang, Yaming Chen, Songhe Song

  2022-06-13

  42256 3537 Pages:1181-1200

• A Linearized Difference Scheme for Time-Fractional Sine-Gordon Equation

  Zhiyong Xing, Liping Wen

  2020-12-18

  44135 3185 Pages:285-295

• A Discontinuous Galerkin Method Based on a BGK Scheme for the Navier-Stokes Equations on Arbitrary Grids

  Hong Luo, Luqing Luo, Kun Xu

  2018-08-10

  41573 3914 Pages:301-318

• Unconditional Stability and Fourth-Order Convergence of a Two-Step Time Split Explicit/Implicit Scheme for Two-Dimensional Nonlinear Unsteady Convection-Diffusion-Reaction Equation

  Eric Ngondiep, Ali H. Tedjani

  2024-11-01

  15403 1374 Pages:1381-1409

• Numerical Schemes for Time-Space Fractional Vibration Equations

  Jingna Zhang, Temirkhan S. Aleroev, Yifa Tang, Jianfei Huang

  2021-04-13

  45507 3160 Pages:806-826

• A New Conservative Allen-Cahn Type Ohta-Kawaski Phase-Field Model for Diblock Copolymers and Its Numerical Approximations

  Shuang Geng, Tongmao Li, Qiongwei Ye, Xiaofeng Yang

  2021-11-18

  49505 4107 Pages:101-124

• A Numerical Study of Integrated Linear Reconstruction for Steady Euler Equations Based on Finite Volume Scheme

  Guanghui Hu, Ruo Li, Xucheng Meng

  2024-01-04

  27984 2638 Pages:279-304

• Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

  Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao

  2018-05-05

  41886 4574 Pages:353-385 Open-access

• Mechanisms for Stabilizing Thermal Lattice Boltzmann Equation and Their Applications for Convection-Diffusion Problem on Nonuniform Meshes

  Jinhua Lu

  2025-09-29

  5015 251 Pages:1715-1741

• A Numerical Study of Characteristic Slow-Transient Behavior of a Compressible 2D Gas-Liquid Two-Fluid Model

  H.A. Friis, S. Evje, T. Flåtten

  2018-08-10

  40053 3866 Pages:166-200

• An Energy-Preserving Scheme for the Coupled Gross-Pitaevskii Equations

  Lan Wang, Wenjun Cai, Yushun Wang

  2020-10-20

  49650 4489 Pages:203-231

• A Combination of High-Order Compact Finite Difference Schemes and a Splitting Method that Preserves Accuracy for the Multi-Dimensional Burgers' Equation

  Shengfeng Wang, Xiaohua Zhang, Julian Koellermeier, Daobin Ji

  2021-06-08

  45031 3067 Pages:1261-1292

• An Improved WENO-Z+ Scheme

  Ruo Li, Wei Zhong

  2024-12-02

  17562 1105 Pages:31-68

• A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State

  Qiujin Peng

  2018-05-05

  44947 3079 Pages:1162-1188

• Error Analysis of a New Euler Semi-Implicit Time-Discrete Scheme for the Incompressible MHD System with Variable Density

  Yuan Li, Xuewei Cui

  2024-12-02

  13939 1092 Pages:263-294

• High Order Well-Balanced Finite Difference AWENO Scheme for Ripa and Pollutant Transport Systems

  Yue Liu, Zhen Gao, Peng Li, Yaguang Gu

  2024-12-31

  12913 1204 Pages:554-579

• A Free Streaming Contact Preserving Scheme for the M1 Model

  C. Berthon, J. Dubois, B. Dubroca, T.-H. Nguyen-Bui, R. Turpault

  2018-11-01

  40260 3709 Pages:259-285

• A Robust Three-Level Time Split High-Order Leapfrog/Crank-Nicolson Scheme for Two-Dimensional Sobolev and Regularized Long Wave Equations Arising in Fluid Mechanics

  Eric Ngondiep

  2025-03-14

  11029 774 Pages:956-988

• Modifying and Reducing Numerical Dissipation in a Two-Dimensional Central-Upwind Scheme

  Chi-Jer Yu, Chii-Tung Liu

  2012-04-01

  40575 4241 Pages:340-353

• Interaction of Radiation and Turbulent Natural Convection: A Pseudo-Direct Numerical Study

  Alexander Nee, Ali J. Chamkha

  2022-08-08

  264950 3703 Pages:1567-1586

• Numerical Simulation of Phase-Field Round and Square Crystal Models on Curved Dynamic Substrates via the Evolving Surface Finite Element Method

  Xufeng Xiao, Lulu Liu, Xiao Yu, Xinlong Feng

  2025-11-19

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