Search Results

• 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

• 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 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

• 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

• 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 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

• 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

• 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

• A Fifth Order Alternative Mapped WENO Scheme for Nonlinear Hyperbolic Conservation Laws

  Uttam Singh Rajput, Krishna Mohan Singh

  2021-11-18

  DOI:10.4208/aamm.OA-2020-0320

  50154 4623 pp. 275-298

• A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography

  Nouh Izem, Mohammed Seaid

  2022-02-25

  DOI:10.4208/aamm.OA-2020-0364

  47635 3331 pp. 725-758

• A Diffusively Corrected Multiclass Lighthill-Whitham-Richards Traffic Model with Anticipation Lengths and Reaction Times

  Raimund Bürger, Pep Mulet, Luis M. Villada

  2013-05-01

  DOI:10.4208/aamm.2013.m135

  42832 4446 pp. 728-758

• Improved Sixth-Order WENO Finite Difference Schemes for Hyperbolic Conservation Laws

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

  2025-09-29

  DOI:10.4208/aamm.OA-2024-0037

  7393 499 pp. 1591-1624

• 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

• A New Fifth-Order Finite Volume Central WENO Scheme for Hyperbolic Conservation Laws on Staggered Meshes

  Shengzhu Cui, Zhanjing Tao, Jun Zhu

  2022-06-13

  DOI:10.4208/aamm.OA-2021-0095

  43647 3621 pp. 1059-1086

• 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

• 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

• 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

• 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

• 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

• A Well-Balanced FVC Scheme for 2D Shallow Water Flows on Unstructured Triangular Meshes

  Moussa Ziggaf, Imad Kissami, Mohamed Boubekeur, Fayssal Benkhaldoun

  2023-06-21

  DOI:10.4208/aamm.OA-2022-0113

  37641 3046 pp. 1335-1378

• 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