Search Results

• 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

• Barycentric Interpolation Collocation Methods Based on the Crank-Nicolson Scheme for Nonlinear Parabolic Optimal Control Problems

  Rong Huang, Zhifeng Weng, Jianhua Yuan

  2026-08-01

  DOI:10.4208/aamm.OA-2024-0004

  848 94 pp. 1242-1268

• Two-Grid Discretization Scheme for Nonlinear Reaction Diffusion Equation by Mixed Finite Element Methods

  Luoping Chen, Yanping Chen

  2014-06-01

  DOI:10.4208/aamm.12-m12130

  43882 4752 pp. 203-219

• Numerical Analysis of the Mixed 4th-Order Runge-Kutta Scheme of Conditional Nonlinear Optimal Perturbation Approach for the EI Niño-Southern Oscillation Model

  Xin Zhao, Jian Li, Wansuo Duan, Dongqian Xue

  2021-07-01

  DOI:10.4208/aamm.2014.m786

  44053 3868 pp. 1023-1035

• A Scale-Invariant Fifth Order WCNS Scheme for Hyperbolic Conservation Laws

  Zixuan Zhang, Yidao Dong, Huaibao Zhang, Shichao Zheng, Xiaogang Deng

  2023-06-21

  DOI:10.4208/aamm.OA-2022-0196

  38215 3096 pp. 1256-1289

• An Efficient and Unconditionally Convergent Galerkin Finite Element Method for the Nonlinear Schrödinger Equation in High Dimensions

  Yue Cheng, Tingchun Wang, Boling Guo

  2021-04-13

  DOI:10.4208/aamm.OA-2020-0033

  63078 4106 pp. 735-760

• A New Two-Grid Method for Expanded Mixed Finite Element Solution of Nonlinear Reaction Diffusion Equations

  Shang Liu, Yanping Chen

  2018-08-04

  DOI:10.4208/aamm.2015.m1370

  41450 2991 pp. 757-774

• Analysis of Two-Grid Methods for Nonlinear Parabolic Equations by Expanded Mixed Finite Element Methods

  Yanping Chen, Peng Luan, Zuliang Lu

  2021-07-01

  DOI:10.4208/aamm.09-m09S09

  41818 4294 pp. 830-844

• Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

  Qing Cheng, Cheng Wang

  2021-11-17

  DOI:10.4208/aamm.OA-2020-0297

  119097 6101 pp. 1318-1354

• 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

• Nonlinear Stability and B-convergence of Additive Runge-Kutta Methods for Nonlinear Stiff Problems

  Chao Yue, Aiguo Xiao, Hongliang Liu

  2018-05-05

  DOI:10.4208/aamm.2013.m230

  41274 3145 pp. 472-495

• High-Resolution and High-Precision Weighted Essentially Non-Oscillatory Scheme for Compressible Flow Simulations

  Shujiang Tang

  2024-05-14

  DOI:10.4208/aamm.OA-2022-0321

  25344 2419 pp. 980-1008

• Optimal Error Analysis of Euler and BDF2 Semi-Renormalized FEMs for the Landau-Lifshitz-Slonczewski Equation

  Yundan Zhao, Rong An

  2025-05-12

  DOI:10.4208/aamm.OA-2023-0119

  8967 575 pp. 1063-1087

• A Novel Low-Dimensional Method for Analytically Solving Partial Differential Equations

  Jie Sha, Lixiang Zhang, Chuijie Wu

  2021-07-01

  DOI:10.4208/aamm.2014.m671

  43012 4203 pp. 754-779

• Mathematical Modeling and Hyers-Ulam Stability for a Nonlinear Epidemiological Model with $Φ_p$ Operator and Mittag-Leffler Kernel

  Achraf Zinihi, Moulay Rchid Sidi Ammi, Matthias Ehrhardt

  2025-07-19

  DOI:10.4208/aamm.OA-2024-0134

  8049 587 pp. 1481-1508

• A Fast Spatial Two-Grid Raviart-Thomas MFE Algorithm for the Nonlinear Time Fractional Diffusion Equations on Temporal Graded Mesh

  Zhichao Fang, Shubin Dong, Jie Zhao, Hong Li

  2026-08-01

  DOI:10.4208/aamm.OA-2023-0307

  1026 84 pp. 1155-1188

• A Parallel Pressure Projection Stabilized Finite Element Method for Stokes Equation with Nonlinear Slip Boundary Conditions

  Kangrui Zhou, Yueqiang Shang

  2021-07-01

  DOI:10.4208/aamm.OA-2019-0190

  47839 4236 pp. 1438-1456

• Error Analysis of Two-Level Finite Element Method for the Nonlinear Conductivity Problem in Maxwell's System

  Peizhen Wang, Dandan Zhang, Wei Yang

  2021-04-13

  DOI:10.4208/aamm.OA-2020-0049

  45098 3324 pp. 791-805

• A Viscosity-Splitting Method for the Navier-Stokes/ Darcy Problem

  Yunxia Wang, Xuefeng Han, Zhiyong Si

  2020-03-06

  DOI:10.4208/aamm.OA-2019-0084

  48819 5111 pp. 251-277

• 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

• 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

• A New Fifth-Order Finite Difference WENO Scheme for Dam-Break Simulations

  Xiaogang Li, Guodong Li, Yongbin Ge

  2020-10-20

  DOI:10.4208/aamm.OA-2019-0155

  51294 4914 pp. 58-82

• 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 Nitsche-Based Element-Free Galerkin Method for Semilinear Elliptic Problems

  Tao Zhang, Xiaolin Li

  2023-12-21

  DOI:10.4208/aamm.OA-2022-0019

  27099 2698 pp. 24-46

• Optimization and Identification of the Shape in Elastoplastic Boundary Problems Using Parametric Integral Equation System (PIES)

  Agnieszka Bo\u0142tu\u0107

  2020-06-01

  DOI:10.4208/aamm.OA-2019-0100

  49571 3387 pp. 1035-1056

• 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 Characteristics-Mixed Volume Element Method for the Displacement Problem of Enhanced Oil Recovery

  Yirang Yuan, Aijie Cheng, Changfeng Li, Tongjun Sun, Qing Yang

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0205

  45637 3298 pp. 1084-1113