Search Results

• 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

• A High Accuracy Numerical Method and Error Analysis for Fourth Order Elliptic Eigenvalue Problems in Circular Domain

  Yixiao Ge, Ting Tan, Jing An

  2020-04-10

  DOI:10.4208/aamm.OA-2019-0068

  46385 3392 pp. 815-834

• An Upwind Mixed Finite Element Method on Changing Meshes for Positive Semi-Definite Oil-Water Displacement of Darcy-Forchheimer Flow in Porous Media

  Yirang Yuan, Huailing Song, Changfeng Li, Tongjun Sun

  2020-07-24

  DOI:10.4208/aamm.OA-2019-0256

  49744 3325 pp. 1196-1223

• The Modified Localized Method of Approximated Particular Solutions for Linear and Nonlinear Convection-Diffusion-Reaction PDEs

  Wen Li, Kalani Rubasinghe, Guangming Yao, L. H. Kuo

  2020-07-24

  DOI:10.4208/aamm.OA-2019-0033

  44812 3356 pp. 1113-1136

• 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

• 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 Fully Discrete Explicit Multistep Scheme for Solving Coupled Forward Backward Stochastic Differential Equations

  Ying Liu, Yabing Sun, Weidong Zhao

  2020-04-10

  DOI:10.4208/aamm.OA-2019-0079

  50180 3455 pp. 643-663

• 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

• High-Order Well-Balanced Finite Volume WENO Schemes with Conservative Variables Decomposition for Shallow Water Equations

  Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao

  2021-04-13

  DOI:10.4208/aamm.OA-2020-0138

  45161 3271 pp. 827-849

• 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

• A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation

  Guofei Pang, Wen Chen, Kam Yim Sze

  2018-05-05

  DOI:10.4208/aamm.2014.m693

  43895 4731 pp. 166-186

• Stability of Two Conservative, High-Order Fluid-Fluid Coupling Methods

  Jeffrey M. Connors, Robert D. Dolan

  2021-07-01

  DOI:10.4208/aamm.OA-2018-0212

  64350 4653 pp. 1287-1338

• 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 Simplified Lattice Boltzmann Method Without Evolution of Distribution Function

  Z. Chen, C. Shu, Y. Wang, L. M. Yang, D. Tan

  2018-05-05

  DOI:10.4208/aamm.OA-2016-0029

  44981 5508 pp. 1-22

• Integrating Krylov Deferred Correction and Generalized Finite Difference Methods for Dynamic Simulations of Wave Propagation Phenomena in Long-Time Intervals

  Wenzhen Qu, Hongwei Gao, Yan Gu

  2021-11-17

  DOI:10.4208/aamm.OA-2020-0178

  51026 4202 pp. 1398-1417

• Local Discontinuous Galerkin Methods with Decoupled Implicit-Explicit Time Marching for the Growth-Mediated Autochemotactic Pattern Formation Model

  Hui Wang, Hui Guo, Jiansong Zhang, Lulu Tian

  2023-12-21

  DOI:10.4208/aamm.OA-2022-0217

  26815 2435 pp. 208-236

• Radially Symmetrical Problems for Compressible Fluids with a High-Resolution Boundary Condition

  Zijin Zhu, Xiaoyan Hu, Guoxi Ni

  2022-12-13

  DOI:10.4208/aamm.OA-2021-0340

  40108 3144 pp. 428-449

• Superconvergence Analysis for the Maxwell's Equations in Debye Medium with a Thermal Effect

  Changhui Yao, Dongyang Shi, Mengmeng Hou

  2020-03-06

  DOI:10.4208/aamm.OA-2019-0126

  48300 5113 pp. 141-163

• Application of Lattice Boltzmann Method to Simulate Forest Edge

  Jie Wei, Jianjun Wu, An Jiang, Kun Wan

  2022-12-13

  DOI:10.4208/aamm.OA-2021-0252

  39743 3122 pp. 376-401

• A Node-Based Smoothed Finite Element Method with Linear Gradient Fields for Elastic Obstacle Scattering Problems

  Junhong Yue, Yu Wang, Yan Li, Ming Li

  2023-10-11

  DOI:10.4208/aamm.OA-2021-0270

  31547 3057 pp. 1562-1601

• 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

• Evaluation of Pressure Boundary Conditions for Permeability Calculations Using the Lattice-Boltzmann Method

  Ariel Narváez, Jens Harting

  2021-01-25

  DOI:10.4208/aamm.10-10S11

  41234 4216 pp. 685-700

• An Efficient Numerical Solution Method for Elliptic Problems in Divergence Form

  Ali Abbas

  2014-06-01

  DOI:10.4208/aamm.2012.m69

  42035 4366 pp. 327-344

• A Spectral Time-Domain Method for Computational Electrodynamics

  James V. Lambers

  2021-07-01

  DOI:10.4208/aamm.09-m09S02

  40877 4195 pp. 781-798

• Local RBFs Based Collocation Methods for Unsteady Navier-Stokes Equations

  Xueying Zhang, Xin An, C. S. Chen

  2018-05-05

  DOI:10.4208/aamm.2013.m337

  41474 3153 pp. 430-440

• A Well-Balanced Weighted Compact Nonlinear Scheme for Pre-Balanced Shallow Water Equations

  Mingyang Cheng, Lingyan Tang, Yaming Chen, Songhe Song

  2022-06-13

  DOI:10.4208/aamm.OA-2021-0117

  42526 3618 pp. 1181-1200

• A Novel B-Spline Method for Modeling Transport Problems in Anisotropic Inhomogeneous Media

  Sergiy Reutskiy, Ji Lin, Bin Zheng, Jiyou Tong

  2020-12-21

  DOI:10.4208/aamm.OA-2020-0052

  47705 3185 pp. 590-618