Search Results

• A Modified Hybrid High-Order Essentially Non-Oscillatory Compact Difference Scheme for Nonlinear Degenerate Parabolic Equations

  Xiaohua Zhang, Shengfeng Wang

  2026-04-01

  DOI:10.4208/aamm.OA-2023-0261

  5091 270 pp. 482-518

• 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

• A Novel Temporal Two-Grid Compact Finite Difference Scheme for the Viscous Burgers’ Equation

  Xiangyi Peng, Wenlin Qiu, Jiangxing Wang, Lina Ma

  2024-11-01

  DOI:10.4208/aamm.OA-2022-0302

  16176 1523 pp. 1358-1380

• 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

  DOI:10.4208/aamm.OA-2020-0277

  45318 3140 pp. 1261-1292

• A High-Accuracy Finite Difference Scheme for Solving Reaction-Convection-Diffusion Problems with a Small Diffusivity

  Po-Wen Hsieh, Suh-Yuh Yang, Cheng-Shu You

  2014-06-01

  DOI:10.4208/aamm.2014.5.s4

  43292 4615 pp. 637-662

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

  Mingyang Cheng, Lingyan Tang, Yaming Chen, Songhe Song

  2022-06-13

  DOI:10.4208/aamm.OA-2021-0117

  42526 3618 pp. 1181-1200

• High Order Hybrid Weighted Compact Nonlinear Schemes for Hyperbolic Conservation Laws

  Peng Li, Xiqiang Zhao, Zhen Gao, Bao-Shan Wang

  2020-06-01

  DOI:10.4208/aamm.OA-2018-0264

  50407 3447 pp. 972-991

• A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity

  Emadidin Gahalla Mohmed Elmahdi, Sadia Arshad, Jianfei Huang

  2023-12-21

  DOI:10.4208/aamm.OA-2022-0049

  26042 2568 pp. 146-163

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

  Lan Wang, Wenjun Cai, Yushun Wang

  2020-10-20

  DOI:10.4208/aamm.OA-2019-0308

  49921 4648 pp. 203-231

• 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

• Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law II: Applications on Complex Curvilinear Meshes

  Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0079

  44367 3173 pp. 285-311

• Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law III: Characteristic-Wise Hybrid Method

  Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu

  2022-01-24

  DOI:10.4208/aamm.OA-2020-0257

  41565 3305 pp. 415-441

• Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System

  Seakweng Vong, Zhibo Wang

  2014-06-01

  DOI:10.4208/aamm.2014.4.s1

  44461 4686 pp. 419-435

• Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law I: Basic Formulations and Performance Evaluation

  Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0078

  44328 3177 pp. 255-284

• Fully HOC Scheme for Mixed Convection Flow in a Lid-Driven Cavity Filled with a Nanofluid

  Dingfang Li, Xiaofeng Wang, Hui Feng

  2018-08-10

  DOI:10.4208/aamm.10-m1072

  44207 4988 pp. 55-77

• Extending Seventh-Order Dissipative Compact Scheme Satisfying Geometric Conservation Law to Large Eddy Simulation on Curvilinear Grids

  Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu

  2018-05-05

  DOI:10.4208/aamm.2013.m404

  41271 3174 pp. 407-429

• A Compact Difference Scheme for the Time-Fractional Partial Integro-Differential Equation with a Weakly Singular Kernel

  Jing Guo, Da Xu

  2020-07-24

  DOI:10.4208/aamm.OA-2019-0064

  50233 3344 pp. 1261-1279

• Fourth Order Compact Boundary Value Method for Option Pricing with Jumps

  Spike T. Lee, Hai-Wei Sun

  2021-07-01

  DOI:10.4208/aamm.09-m09S06

  41044 4152 pp. 845-861

• A Scale-Invariant Fifth Order WCNS Scheme for Hyperbolic Conservation Laws

  Zixuan Zhang, Yidao Dong, Huaibao Zhang, Shichao Zheng, Xiaogang Deng

  2023-06-21

  DOI:10.4208/aamm.OA-2022-0196

  38215 3096 pp. 1256-1289

• Edge Detectors Based on Pauta Criterion with Application to Hybrid Compact-WENO Finite Difference Scheme

  Chunhua Zhang, Zhen Gao, Sa Ye, Peng Li

  2023-10-11

  DOI:10.4208/aamm.OA-2021-0250

  72022 3126 pp. 1379-1406

• Taylor Remainder-Based Discontinuity Detection Method with Application to Hybrid Compact-WENO Finite Difference Scheme for Hyperbolic Conservation Laws

  Xin-Ru Liu, Xiao Wen

  2026-06-01

  DOI:10.4208/aamm.OA-2024-0124

  4305 127 pp. 923-946

• Study of Heat Transfer Control with Magnetic Field Using Higher Order Finite Difference Scheme

  R. Sivakumar, S. Vimala, S. Damodaran, T. V. S. Sekhar

  2018-05-05

  DOI:10.4208/aamm.2014.m600

  40866 3141 pp. 449-463

• Noise Prediction in Subsonic Flow Using Seventh-Order Dissipative Compact Scheme on Curvilinear Mesh

  Meiliang Mao, Yi Jiang, Xiaogang Deng, Huayong Liu

  2018-05-05

  DOI:10.4208/aamm.2014.m459

  41650 3159 pp. 236-256

• 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

  DOI:10.4208/aamm.OA-2022-0022

  26821 2453 pp. 47-74

• Improved Symmetry Property of High Order Weighted Essentially Non-Oscillatory Finite Difference Schemes for Hyperbolic Conservation Laws

  Wai Sun Don, Peng Li, Kwun Ying Wong, Zhen Gao

  2021-07-01

  DOI:10.4208/aamm.OA-2017-0292

  56581 4623 pp. 1418-1439

• Fourth-Order Compact Split-Step Finite Difference Method for Solving the Two- and Three-Dimensional Nonlinear Schrödinger Equations

  Rena Eskar, Xinlong Feng, Pengzhan Huang

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0162

  47615 3537 pp. 879-895

• A Compact Eulerian Interface–Capturing Algorithm for Compressible Multimaterial Elastic–Plastic Flows with Mie–Grüneisen Equation of State

  Xiang Li, Dong-Jun Ma, Nan-Sheng Liu, Pei Wang

  2022-12-13

  DOI:10.4208/aamm.OA-2021-0019

  38677 2981 pp. 485-521