Search Results

• Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations

  Yubin Lu, Chi-An Chen, Xiaofan Li, Chun Liu

  2024-06-14

  28005 1893 Pages:1352-1386

• A Monotone Finite Volume Scheme with Second Order Accuracy for Convection-Diffusion Equations on Deformed Meshes.

  Bin Lan, Zhiqiang Sheng, Guangwei Yuan

  2018-09-17

  45167 3720 Pages:1455-1476

• Benchmark Computation of Morphological Complexity in the Functionalized Cahn-Hilliard Gradient Flow

  Andrew Christlieb, Keith Promislow, Zengqiang Tan, Sulin Wang, Brian Wetton, Steven M. Wise

  2025-04-27

  9418 836 Pages:877-920 Open-access

• Piecewise Polynomial Mapping Method and Corresponding WENO Scheme with Improved Resolution

  Qin Li, Pengxin Liu & Hanxin Zhang

  2020-07-30

  39800 3257 Pages:1417-1444

• A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure

  José A. Carrillo, Alina Chertock, Yanghong Huang

  2018-04-02

  42142 4619 Pages:233-258

• A New Mapped WENO Scheme Using Order-Preserving Mapping

  Ruo Li, Wei Zhong

  2022-01-27

  43783 3302 Pages:548-592

• A Compact Scheme for Coupled Stochastic Nonlinear Schrödinger Equations

  Chuchu Chen, Jialin Hong, Lihai Ji, Linghua Kong

  2018-04-08

  41454 4625 Pages:93-125

• An Efficient, Energy Stable Scheme for the Cahn-Hilliard-Brinkman System

  Craig Collins, Jie Shen, Steven M. Wise

  2013-08-05

  44115 4296 Pages:929-957

• A Coupled High-Order Continuous and Discontinuous Galerkin Finite Element Scheme for the Davey-Stewartson System

  Jinyang Lu, Qi Tao, Yan Xu

  2025-04-27

  9635 584 Pages:975-1007

• On False Accuracy Verification of UMUSCL Scheme

  Hiroaki Nishikawa

  2021-08-10

  48629 3229 Pages:1037-1060

• A Decoupled and Positivity-Preserving DDFVS Scheme for Diffusion Problems on Polyhedral Meshes

  Qiannan Dong, Shuai Su, Jiming Wu

  2020-05-06

  50302 3700 Pages:1378-1412

• Efficient Numerical Computation of Time-Fractional Nonlinear Schrödinger Equations in Unbounded Domain

  Jiwei Zhang, Dongfang Li, Xavier Antoine

  2018-09-01

  46816 5400 Pages:218-243

• IMEX Large Time Step Finite Volume Methods for Low Froude Number Shallow Water Flows

  Georgij Bispen, K. R. Arun, Maria Lukacova-Medvid'ova, Sebastian Noelle

  2014-08-03

  42482 4055 Pages:307-347

• An Implicit Algorithm for High-Order DG/FV Schemes for Compressible Flows on 2D Arbitrary Grids

  Laiping Zhang, Ming Li, Wei Liu, Xin He

  2018-04-02

  42723 4496 Pages:287-316

• High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations

  Jianfang Lin, Yan Xu, Huiwen Xue, Xinghui Zhong

  2022-03-03

  45444 3207 Pages:913-946

• A New Interpolation for Auxiliary Unknowns of the Monotone Finite Volume Scheme for 3D Diffusion Equations

  Fei Zhao, Xiang Lai, Guangwei Yuan, Zhiqiang Sheng

  2020-02-23

  47570 3264 Pages:1201-1233

• A Conservative Numerical Method for the Cahn–Hilliard Equation with Generalized Mobilities on Curved Surfaces in Three-Dimensional Space

  Darae Jeong, Yibao Li, Chaeyoung Lee, Junxiang Yang, Junseok Kim

  2019-12-07

  47173 3308 Pages:412-430

• A Monotone Finite Volume Scheme with Fixed Stencils for 3D Heat Conduction Equation

  Hui Xie, Chuanlei Zhai, Xuejun Xu, Jun Peng, Heng Yong

  2019-07-02

  45004 3208 Pages:1118-1142

• Detonation Simulations with a Fifth-Order TENO Scheme

  Haibo Dong, Lin Fu, Fan Zhang, Yu Liu, Jun Liu

  2019-01-10

  49935 4193 Pages:1357-1393

• Central WENO Subcell Finite Volume Limiters for ADER Discontinuous Galerkin Schemes on Fixed and Moving Unstructured Meshes

  Walter Boscheri, Matteo Semplice, Michael Dumbser

  2018-10-11

  46929 3588 Pages:311-346

• On Invariant-Preserving Finite Difference Schemes for the Camassa-Holm Equation and the Two-Component Camassa-Holm System

  Hailiang Liu, Terrance Pendleton

  2018-04-04

  40725 3136 Pages:1015-1041

• A Numerical Scheme for the Quantum Fokker-Planck-Landau Equation Efficient in the Fluid Regime

  Jingwei Hu, Shi Jin, Bokai Yan

  2012-12-01

  42741 4111 Pages:1541-1561

• A Novel Dynamic Quadrature Scheme for Solving Boltzmann Equation with Discrete Ordinate and Lattice Boltzmann Methods

  C. T. Hsu, S. W. Chiang, K. F. Sin

  2020-07-31

  39170 4063 Pages:1397-1414

• High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case

  Ang Li, Jiequan Li, Juan Cheng, Chi-Wang Shu

  2024-07-29

  28125 2049 Pages:1-29

• Error Analysis of the Supplementary Variable Method for the Allen-Cahn Model

  Xuehua Song, Binquan Ji, Yuezheng Gong, Yushun Wang

  2025-08-23

  6599 519 Pages:684-710

• A Data-Driven Scale-Invariant Weighted Compact Nonlinear Scheme for Hyperbolic Conservation Laws

  Zixuan Zhang, Yidao Dong, Yuanyang Zou, Hao Zhang, Xiaogang Deng

  2024-05-06

  28544 2086 Pages:1120-1154

• Analysis of a Mixed Finite Element Method for Stochastic Cahn-Hilliard Equation with Multiplicative Noise

  Yukun Li, Corey Prachniak, Yi Zhang

  2024-05-06

  28052 2018 Pages:1003-1028