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

  44668 3241 Pages:867-891

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

  Zhendong Luo

  2014-06-01

  42890 4403 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

  26701 2358 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

  11402 853 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

  41707 3036 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

  41324 4442 Pages:617-635

• Unconditionally Energy-Dissipation- and Maximum-Bound-Principle-Preserving Scheme for the Time-Fractional Allen-Cahn Equation

  Dongdong Hu, Haorong Huang, Yayun Fu, Minghua Chen

  2025-12-22

  340 4

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

  Mingyang Cheng, Lingyan Tang, Yaming Chen, Songhe Song

  2022-06-13

  42408 3571 Pages:1181-1200

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

  Zhiyong Xing, Liping Wen

  2020-12-18

  44257 3227 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

  41694 3985 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

  15569 1414 Pages:1381-1409

• Numerical Schemes for Time-Space Fractional Vibration Equations

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

  2021-04-13

  45657 3191 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

  49660 4181 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

  28173 2691 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

  41999 4643 Pages:353-385 Open-access

• 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

  40168 3916 Pages:166-200

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

  Jinhua Lu

  2025-09-29

  7059 323 Pages:1715-1741

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

  Lan Wang, Wenjun Cai, Yushun Wang

  2020-10-20

  49776 4562 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

  45197 3101 Pages:1261-1292

• An Improved WENO-Z+ Scheme

  Ruo Li, Wei Zhong

  2024-12-02

  17821 1236 Pages:31-68

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

  Qiujin Peng

  2018-05-05

  45064 3102 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

  14218 1197 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

  13127 1258 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

  40380 3779 Pages:259-285

• Barycentric Interpolation Collocation Methods Based on the Crank-Nicolson Scheme for Nonlinear Parabolic Optimal Control Problems

  Rong Huang, Zhifeng Weng, Jianhua Yuan

  2026-08-01

  513 42 Pages:1242-1268

• 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

  11243 820 Pages:956-988

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

  Chi-Jer Yu, Chii-Tung Liu

  2012-04-01

  40684 4279 Pages:340-353