Search Results

• Novel Conformal Structure-Preserving Algorithms for Coupled Damped Nonlinear Schrödinger System

  Hao Fu, Weien Zhou, Xu Qian, Songhe Song

  2021-07-01

  DOI:10.4208/aamm.OA-2016-0164

  42965 3923 pp. 1383-1403

• 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 Comparison of the Performance of Limiters for Runge-Kutta Discontinuous Galerkin Methods

  Hongqiang Zhu, Yue Cheng, Jianxian Qiu

  2013-05-01

  DOI:10.4208/aamm.2012.m22

  46775 4957 pp. 365-390

• Numerical Approximation of Oscillatory Solutions of Hyperbolic-Elliptic Systems of Conservation Laws by Multiresolution Schemes

  Stefan Berres, Raimund Bürger, Alice Kozakevicius

  2018-08-10

  DOI:10.4208/aamm.09-m0935

  40361 4163 pp. 581-614

• Front Tracking and Parameter Identification for a Conservation Law with a Space-Dependent Coefficient Modeling Granular Segregation

  Raimund Bürger, Yessennia Martínez, Luis M. Villada

  2025-03-14

  DOI:10.4208/aamm.OA-2023-0288

  11676 886 pp. 989-1013

• Convergence of Monotone Schemes for Conservation Laws with Zero-Flux Boundary Conditions

  K. H. Karlsen, J. D. Towers

  2018-08-04

  DOI:10.4208/aamm.2016.m-s1

  43173 4394 pp. 515-542 Open Access

• 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

• The Formulation of Finite Difference Hermite RBF-WENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique

  Rooholah Abedian

  2025-05-12

  DOI:10.4208/aamm.OA-2023-0021

  8758 594 pp. 1275-1309

• 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

• 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

• 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

• A Fourth Order WENO Scheme for Hyperbolic Conservation Laws

  Xiaohan Cheng, Jianhu Feng, Supei Zheng

  2020-06-01

  DOI:10.4208/aamm.OA-2019-0097

  52700 3608 pp. 992-1007

• 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

• Comparison of Sharp and Diffuse Interface Methods for Radially Symmetric Compressible Multi-Medium Fluid Flows

  Xiaotao Zhang, Tiegang Liu, Fan Zhang, Zhiqiang Zeng, Chengliang Feng

  2024-12-31

  DOI:10.4208/aamm.OA-2023-0227

  13538 1301 pp. 407-439

• 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

• 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

• A New Fifth-Order Trigonometric WENO Scheme for Hyperbolic Conservation Laws and Highly Oscillatory Problems

  Yanmeng Wang, Jun Zhu, Lianglin Xiong

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0221

  46105 3357 pp. 1114-1135

• 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

• LWDG Method for a Multi-Class Traffic Flow Model on an Inhomogeneous Highway

  Tiantian Sun, Jianxian Qiu

  2018-08-10

  40769 4131 pp. 438-450

• 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

• 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

• 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

• 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 Galerkin Splitting Symplectic Method for the Two Dimensional Nonlinear Schrödinger Equation

  Zhenguo Mu, Haochen Li, Yushun Wang, Wenjun Cai

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0222

  45784 3206 pp. 1069-1089

• Hydrodynamic Regimes, Knudsen Layer, Numerical Schemes: Definition of Boundary Fluxes

  Christophe Besse, Saja Borghol, Thierry Goudon, Ingrid Lacroix-Violet, Jean-Paul Dudon

  2011-03-01

  DOI:10.4208/aamm.10-m1041

  40660 4182 pp. 519-561

• 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

• 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