Search Results

• High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics

  Junming Duan, Huazhong Tang

  2020-03-06

  DOI:10.4208/aamm.OA-2019-0124

  142377 5909 pp. 1-29

• A Conservative Upwind Approximation on Block-Centered Difference for Chemical Oil Recovery Displacement Problem

  Changfeng Li, Yirang Yuan, Aijie Cheng, Huailing Song

  2022-08-08

  DOI:10.4208/aamm.OA-2021-0284

  300627 4023 pp. 1246-1275

• An Efficient Regularized Lattice Boltzmann Method to Solve Consistent and Conservative Phase Field Model for Simulating Incompressible Two-Phase Flows

  Xuguang Yang, Yuze Zhang

  2024-07-22

  DOI:10.4208/aamm.OA-2024-0021

  25444 2428 pp. 1277-1296

• Positive and Conservative Characteristic Block-Centered Finite Difference Methods for Convection Dominated Diffusion Equations

  Xinshu Li, Kai Fu

  2022-06-13

  DOI:10.4208/aamm.OA-2021-0051

  42492 3631 pp. 1087-1110

• A Conservative Gradient Discretization Method for Parabolic Equations

  Huifang Zhou, Zhiqiang Sheng, Guangwei Yuan

  2020-10-20

  DOI:10.4208/aamm.OA-2020-0047

  48743 4467 pp. 232-260

• Energy Conservative Local Discontinuous Galerkin Methods for the Euler-Korteweg Equations

  Xiangyi Meng, Yan Xu, J. J. W. Van der Vegt

  2026-02-01

  DOI:10.4208/aamm.OA-2023-0317

  5411 474 pp. 134-169

• The Second-Order Mass-Conservative Characteristic Finite Difference Method for Sobolev Equation with Convection Term

  Kai Fu, Zhaohui Liu, Jiansong Zhang

  2026-06-01

  DOI:10.4208/aamm.OA-2024-0154

  4275 103 pp. 947-960

• High-Order Well-Balanced Finite Volume WENO Schemes with Conservative Variables Decomposition for Shallow Water Equations

  Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao

  2021-04-13

  DOI:10.4208/aamm.OA-2020-0138

  45161 3271 pp. 827-849

• High-Order Finite Difference Schemes Based on Symmetric Conservative Metric Method: Decomposition, Geometric Meaning and Connection with Finite Volume Schemes

  Xiaogang Deng, Huajun Zhu, Yaobing Min, Huayong Liu, Meiliang Mao, Guangxue Wang

  2020-01-17

  DOI:10.4208/aamm.OA-2017-0243

  49444 3429 pp. 436-479

• A New High-Order Conservative Patched Grid Strategy Based on Collapsed Edge

  Yidao Dong, Xiaogang Deng, Yaming Chen, Xu Dan, Guangxue Wang

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0163

  44572 3073 pp. 611-633

• A New Energy-Preserving Scheme for the Fractional Klein-Gordon-Schrödinger Equations

  Yao Shi, Qiang Ma, Xiaohua Ding

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0157

  45560 3327 pp. 1219-1247

• An Entropy Stable Scheme for the Multiclass Lighthill-Whitham-Richards Traffic Model

  Raimund Bürger, Héctor Torres, Carlos A. Vega

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0189

  44985 3228 pp. 1022-1047

• The Spatial-Temporal Fourth-Order Conservative Characteristic Runge-Kutta Finite Difference Method for Convection-Dominated Diffusion Equation

  Dan Qin, Kai Fu, Dong Liang

  2025-03-14

  DOI:10.4208/aamm.OA-2023-0173

  11582 918 pp. 732-757

• A Fifth-Order Low-Dissipative Conservative Upwind Compact Scheme Using Centered Stencil

  Conghai Wu, Sujuan Yang, Ning Zhao

  2021-07-01

  DOI:10.4208/aamm.2013.m-s3

  43085 4410 pp. 830-848

• Solution Reconstruction on Unstructured Tetrahedral Meshes Using P1 -Conservative Interpolation

  Biao Peng, Chunhua Zhou, Junqiang Ai

  2018-05-05

  DOI:10.4208/aamm.2015.m1087

  42593 3044 pp. 847-870

• Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation

  Xiaowei Chen, Xu Qian, Songhe Song

  2022-10-24

  DOI:10.4208/aamm.OA-2021-0325

  45819 4255 pp. 159-181

• A Maximum-Principle-Preserving Finite Volume Scheme for Diffusion Problems on Distorted Meshes

  Dan Wu, Junliang Lv, Lei Lin, Zhiqiang Sheng

  2023-04-11

  DOI:10.4208/aamm.OA-2022-0224

  38269 3218 pp. 1076-1108

• A Conservative Sharp Interface Method for Compressible Two-Medium Flows on Unstructured Triangular Meshes

  Tiao Lu, Xingchun Yu, Wenqi Yao

  2026-06-01

  DOI:10.4208/aamm.OA-2024-0234

  4274 145 pp. 961-987

• The Locally Conservative Galerkin (LCG) Method — a Discontinuous Methodology Applied to a Continuous Framework

  Rhodri L. T. Bevan, Raoul vanLoon, Perumal Nithiarasu

  2018-08-10

  41014 3886 pp. 319-340

• Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach

  Yuezheng Gong, Qi Hong, Chunwu Wang, Yushun Wang

  2023-06-21

  DOI:10.4208/aamm.OA-2022-0188

  38282 3211 pp. 1233-1255

• 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

  DOI:10.4208/aamm.OA-2020-0293

  49820 4261 pp. 101-124

• A Symplectic Conservative Perturbation Series Expansion Method for Linear Hamiltonian Systems with Perturbations and Its Applications

  Zhiping Qiu, Nan Jiang

  2021-11-17

  DOI:10.4208/aamm.OA-2020-0282

  48585 4072 pp. 1535-1557

• Cell Conservative Flux Recovery and a Posteriori Error Estimate of Vertex-Centered Finite Volume Methods

  Long Chen, Ming Wang

  2013-05-01

  DOI:10.4208/aamm.12-m1279

  43053 4233 pp. 705-727

• Contaminant Flow and Transport Simulation in Cracked Porous Media Using Locally Conservative Schemes

  Pu Song, Shuyu Sun

  2012-04-01

  DOI:10.4208/aamm.10-m1108

  42404 4769 pp. 389-421

• The Formulation of Finite Difference RBFWENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique

  Rooholah Abedian, Mehdi Dehghan

  2023-04-11

  DOI:10.4208/aamm.OA-2021-0241

  38627 3280 pp. 1023-1055

• A Conservative SAV-RRK Finite Element Method for the Nonlinear Schrödinger Equation

  Jun Yang, Nianyu Yi

  2023-02-24

  DOI:10.4208/aamm.OA-2021-0255

  40271 3517 pp. 583-601

• A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions

  Jialing Wang, Tingchun Wang, Yushun Wang

  2023-02-24

  DOI:10.4208/aamm.OA-2021-0219

  38435 3264 pp. 786-813