Search Results

• Assessing the Performance of a Three Dimensional Hybrid Central-WENO Finite Difference Scheme with Computation of a Sonic Injector in Supersonic Cross Flow

  Wai-Sun Don, Antonio de Gregorio, Jean-Piero Suarez, Gustaaf B. Jacobs

  2021-07-01

  DOI:10.4208/aamm.12-12S03

  43489 4425 pp. 719-736

• 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 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 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

• 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

• An Efficient High Order Well-Balanced Finite Difference WENO Scheme for the Blood Flow Model

  Shouguo Qian, Gang Li, Xianqing Lv, Fengjing Shao

  2018-09-17

  DOI:10.4208/aamm.OA-2016-0151

  53184 5389 pp. 22-40

• Analyses of the Dispersion Overshoot and Inverse Dissipation of the High-Order Finite Difference Scheme

  Qin Li, Qilong Guo, Hanxin Zhang

  2021-07-01

  DOI:10.4208/aamm.2012.m5

  45141 4533 pp. 809-824

• 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

• WENO Interpolation-Based and Upwind-Biased Free-Stream Preserving Nonlinear Schemes

  Qin Li, Sun Dong, Fengyuan Xu

  2021-11-17

  DOI:10.4208/aamm.OA-2020-0170

  49721 4141 pp. 1441-1484

• 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

• 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 New Fifth-Order Finite Difference WENO Scheme for Dam-Break Simulations

  Xiaogang Li, Guodong Li, Yongbin Ge

  2020-10-20

  DOI:10.4208/aamm.OA-2019-0155

  51294 4914 pp. 58-82

• 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

  DOI:10.4208/aamm.OA-2022-0144

  13296 1310 pp. 554-579

• 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

• A New Robust High-Order Weighted Essentially Non-Oscillatory Scheme for Solving Well-Balanced Shallow Water Equations

  Zhenming Wang, Jun Zhu, Ning Zhao

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0184

  44751 3168 pp. 911-941

• 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

• A Fast High Order Iterative Solver for the Electromagnetic Scattering by Open Cavities Filled with the Inhomogeneous Media

  Meiling Zhao

  2013-05-01

  DOI:10.4208/aamm.12-m12119

  41803 4394 pp. 235-257

• A Class of Robust Low Dissipation Nested Multi-Resolution WENO Schemes for Solving Hyperbolic Conservation Laws

  Zhenming Wang, Jun Zhu, Yuchen Yang, Linlin Tian, Ning Zhao

  2021-06-08

  DOI:10.4208/aamm.OA-2020-0223

  46260 3247 pp. 1064-1095

• Large Eddy Simulation of Flow over a Cylinder Using High-Order Spectral Difference Method

  Abrar H. Mohammad, Z. J. Wang, Chunlei Liang

  2019-02-13

  DOI:10.4208/aamm.09-m0972

  40433 3999 pp. 451-466

• 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

• Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources

  Jae-Hun Jung, Wai Sun Don

  2021-07-01

  DOI:10.4208/aamm.09-m09S10

  41818 4266 pp. 769-780

• New Finite Volume Mapped Unequal-Sized WENO Scheme for Hyperbolic Conservation Laws

  Yan Zhang, Jun Zhu

  2024-01-04

  DOI:10.4208/aamm.OA-2022-0184

  27093 2497 pp. 459-492

• 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

  DOI:10.4208/aamm.2014.m811

  42130 4759 pp. 353-385 Open Access

• 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

• Spatial-Temporal Adaptive-Order Positivity-Preserving WENO Finite Difference Scheme with Relaxed CFL Condition for Euler Equations with Extreme Conditions

  Jia-Le Li, Wai-Sun Don, Cai-Feng Wang, Bao-Shan Wang

  2025-03-14

  DOI:10.4208/aamm.OA-2023-0306

  11682 907 pp. 804-839

• 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 Splitting Method for the Degasperis-Procesi Equation Using an Optimized WENO Scheme and the Fourier Pseudospectral Method

  Yunrui Guo, Wenjing Yang, Hong Zhang, Ji Wang, Songhe Song

  2019-01-04

  DOI:10.4208/aamm.OA-2018-0054

  47665 5220 pp. 53-71