Search Results

• Two New Energy-Preserving Algorithms for Generalized Fifth-Order KdV Equation

  Qi Hong, Yushun Wang, Qikui Du

  2018-05-05

  DOI:10.4208/aamm.OA-2016-0044

  45632 3112 pp. 1206-1224

• 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

• 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

• Mass-, and Energy-Preserving Sine Pseudo-Spectral Schemes with High-Accuracy for the Coupled Nonlinear Schrödinger Equation

  Yayun Fu, Gengen Zhang, Xu Qian, Songhe Song

  2025-07-19

  DOI:10.4208/aamm.OA-2023-0137

  8089 561 pp. 1430-1455

• A Crank-Nicolson Finite Difference Scheme for the (2+1)D Saturable Nonlinear Schrödinger Equation with Generalized Damping

  Anh Ha Le, Quan M. Nguyen

  2026-06-01

  DOI:10.4208/aamm.OA-2024-0167

  4414 134 pp. 1009-1036

• An Upwind Mixed Volume Element-Fractional Step Method on a Changing Mesh for Compressible Contamination Treatment from Nuclear Waste

  Changfeng Li, Yirang Yuan, Huailing Song

  2021-07-01

  DOI:10.4208/aamm.OA-2017-0332

  46623 3937 pp. 1384-1417

• 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

  DOI:10.4208/aamm.2014.m888

  41809 3071 pp. 250-271

• A Two-Level Crank-Nicolson Difference Scheme and Its Richardson Extrapolation Methods for a Magneto-Thermo-Elasticity Model

  Dingwen Deng, Ruyu Zhang

  2024-02-29

  DOI:10.4208/aamm.OA-2022-0202

  27663 2890 pp. 608-635

• Multi-Symplectic Wavelet Collocation Method for Maxwell's Equations

  Huajun Zhu, Songhe Song, Yaming Chen

  2021-07-01

  DOI:10.4208/aamm.11-m1183

  41376 4344 pp. 663-688

• Exponential Time Differencing Schemes for the Peng-Robinson Equation of State with Preservation of Maximum Bound Principle

  Qiumei Huang, Kun Jiang, Jingwei Li

  2022-01-24

  DOI:10.4208/aamm.OA-2021-0008

  42786 3526 pp. 494-527

• 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

• A Novel Construction of Distribution Function Through Second-Order Polynomial Approximation in Terms of Particle Mass, Momentum and Energy

  Z. Y. Yuan, Z. Chen, C. Shu, Y. Y. Liu, Z. L. Zhang

  2024-02-29

  DOI:10.4208/aamm.OA-2023-0107

  27674 2681 pp. 738-770

• An Upwind-Block-Centered Multistep Difference Method for a Semiconductor Device and Numerical Analysis

  Yirang Yuan, Changfeng Li, Huailing Song

  2025-03-14

  DOI:10.4208/aamm.OA-2022-0207

  11559 902 pp. 706-731

• A Numerical Method on Eulerian Grids for Two-Phase Compressible Flow

  Yonghui Guo, Ruo Li, Chengbao Yao

  2018-05-05

  DOI:10.4208/aamm.2014.m706

  42705 4713 pp. 187-212 Open Access

• Structure-Preserving Wavelet Algorithms for the Nonlinear Dirac Model

  Xu Qian, Hao Fu, Songhe Song

  2018-05-05

  DOI:10.4208/aamm.2016.m1463

  42355 3087 pp. 964-989

• 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

• Singularity of Navier-Stokes Equations Leading to Turbulence

  Hua-Shu Dou

  2020-12-21

  DOI:10.4208/aamm.OA-2020-0063

  76673 3997 pp. 527-553

• Exploring Acoustic and Sound Wave Propagation Simulations: A Novel Time Advancement Method for Homogeneous and Heterogeneous Media

  Shashi Kumar, Bangaru Ramcharan, Vivek S. Yadav, Ankit Singh, Yogesh G. Bhumkar, Manoj K. Rajpoot

  2024-12-02

  DOI:10.4208/aamm.OA-2023-0195

  14649 1266 pp. 315-349

• A Vertex-Centered Arbitrary Lagrangian-Eulerian Finite Volume Method with Sub-Cells for Two-Dimensional Compressible Flow

  Xiaolong Zhao, Xijun Yu, Zupeng Jia, Shijun Zou, Meilan Qiu

  2023-12-21

  DOI:10.4208/aamm.OA-2022-0085

  27149 2570 pp. 181-207

• Structure-Preserving Exponential Schemes with High Accuracy for the 2D/3D Nonlinear Schrödinger Type Equation

  Yayun Fu, Hongliang Liu

  2025-05-12

  DOI:10.4208/aamm.OA-2023-0095

  8767 621 pp. 1088-1110

• 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