Search Results

• 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

• 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

• 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

• 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

• 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 Implicit-Explicit Scheme for the Radiation Hydrodynamics

  Yaoli Fang

  2020-12-18

  DOI:10.4208/aamm.OA-2019-0275

  46790 3289 pp. 404-425

• 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

• Corrected Linear-Galerkin Schemes to Preserve Second-Order Accuracy for Cell-Centered Unstructured Finite Volume Methods

  Lingfa Kong, Yidao Dong, Wei Liu

  2024-07-22

  DOI:10.4208/aamm.OA-2023-0113

  31751 2455 pp. 1056-1103

• A Maximum-Principle-Preserving Finite Volume Scheme for Diffusion Problems on Distorted Meshes

  Dan Wu, Junliang Lv, Lei Lin, Zhiqiang Sheng

  2023-04-11

  DOI:10.4208/aamm.OA-2022-0224

  38269 3218 pp. 1076-1108

• Numerical Assessment of Criteria for Mesh Adaptation in the Finite Volume Solution of Shallow Water Equations

  Imad Kissami, Mohammed Seaid, Fayssal Benkhaldoun

  2020-01-17

  DOI:10.4208/aamm.OA-2019-0011

  77939 3641 pp. 503-526

• An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations

  Bingyin Zhang, Hongfei Fu, Xueting Liang, Jun Liu, Jiansong Zhang

  2022-08-08

  DOI:10.4208/aamm.OA-2021-0153

  275934 3794 pp. 1400-1432

• A Maximum-Principle-Preserving Third Order Finite Volume SWENO Scheme on Unstructured Triangular Meshes

  Yunrui Guo, Lingyan Tang, Hong Zhang, Songhe Song

  2018-09-17

  DOI:10.4208/aamm.OA-2016-0196

  47335 6298 pp. 114-137

• Two-Grid Finite Volume Element Method Combined with Crank-Nicolson Scheme for Semilinear Parabolic Equations

  Yuzhi Lou, Chuanjun Chen, Guanyu Xue

  2021-04-13

  DOI:10.4208/aamm.OA-2020-0064

  44620 3269 pp. 892-913

• Mathematical Development and Verification of a Finite Volume Model for Morphodynamic Flow Applications

  Fayssal Benkhaldoun, Mohammed Seaïd, Slah Sahmim

  2011-03-01

  DOI:10.4208/aamm.10-m1056

  42017 4383 pp. 470-492

• A New Finite Volume Element Formulation for the Non-Stationary Navier-Stokes Equations

  Zhendong Luo

  2014-06-01

  DOI:10.4208/aamm.2013.m83

  42994 4483 pp. 615-636

• 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

• Finite Volume Element Method for a Nonlinear Parabolic Equation

  Yanwei Du, Yonghai Li

  2025-03-14

  DOI:10.4208/aamm.OA-2022-0258

  11454 858 pp. 681-705

• A New Well-Balanced Finite Volume CWENO Scheme for Shallow Water Equations over Bottom Topography

  Wei Guo, Ziming Chen, Shouguo Qian, Gang Li, Qiang Niu

  2023-10-11

  DOI:10.4208/aamm.OA-2022-0131

  32387 2898 pp. 1515-1539

• On the Convergence of a Crank-Nicolson Fitted Finite Volume Method for Pricing European Options Under Regime-Switching Kou’s Jump-Diffusion Models

  Xiaoting Gan, Junfeng Yin, Rui Li

  2023-06-21

  DOI:10.4208/aamm.OA-2021-0016

  36982 2979 pp. 1290-1314

• Conservative and Finite Volume Methods for the Convection-Dominated Pricing Problem

  Germán I. Ramírez-Espinoza, Matthias Ehrhardt

  2021-07-01

  DOI:10.4208/aamm.12-m1216

  44642 4883 pp. 759-790

• A Numerical Study of Integrated Linear Reconstruction for Steady Euler Equations Based on Finite Volume Scheme

  Guanghui Hu, Ruo Li, Xucheng Meng

  2024-01-04

  DOI:10.4208/aamm.OA-2022-0267

  28327 2742 pp. 279-304

• Quadratic Finite Volume Method for a Nonlinear Elliptic Problem

  Yanwei Du, Yonghai Li, Zhiqiang Sheng

  2019-06-24

  DOI:10.4208/aamm.OA-2017-0231

  43998 3249 pp. 838-869

• Cell-Average Based Neural Network Method for Hunter-Saxton Equations

  Chunjie Zhang, Changxin Qiu, Xiaofang Zhou, Xiaoming He

  2024-05-14

  DOI:10.4208/aamm.OA-2022-0278

  26596 2500 pp. 833-859

• Optimal Bicubic Finite Volume Methods on Quadrilateral Meshes

  Yanli Chen, Yonghai Li

  2018-05-05

  DOI:10.4208/aamm.2013.m401

  41962 3152 pp. 454-471

• A High-Order NVD/TVD-Based Polynomial Upwind Scheme for the Modified Burgers' Equations

  Wei Gao, Yang Liu, Bin Cao, Hong Li

  2012-04-01

  DOI:10.4208/aamm.10-m1139

  41450 4558 pp. 617-635

• Two-Grid Crank-Nicolson Finite Volume Element Method for the Time-Dependent Schrödinger Equation

  Chuanjun Chen, Yuzhi Lou, Tong Zhang

  2022-08-08

  DOI:10.4208/aamm.OA-2021-0233

  284986 3980 pp. 1357-1380

• A Switch Function-Based Gas-Kinetic Scheme for Simulation of Inviscid and Viscous Compressible Flows

  Yu Sun, Shu Chang, Liming Yang, C. J. Teo

  2018-05-05

  DOI:10.4208/aamm.2015.m1071

  43311 3084 pp. 703-721