Search Results

• A Robust Three-Level Time Split High-Order Leapfrog/Crank-Nicolson Scheme for Two-Dimensional Sobolev and Regularized Long Wave Equations Arising in Fluid Mechanics

  Eric Ngondiep

  2025-03-14

  DOI:10.4208/aamm.OA-2022-0320

  11395 868 pp. 956-988

• The Crank-Nicolson/Explicit Scheme for the Natural Convection Equations with Nonsmooth Initial Data

  Jinting Yang, Hongxia Liang, Tong Zhang

  2021-07-01

  DOI:10.4208/aamm.OA-2019-0206

  47799 4166 pp. 1481-1519

• A Two-Level Factored Crank-Nicolson Method for Two-Dimensional Nonstationary Advection-Diffusion Equation with Time Dependent Dispersion Coefficients and Source Terms

  Eric Ngondiep

  2021-06-08

  DOI:10.4208/aamm.OA-2020-0206

  45904 3247 pp. 1005-1026

• 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 Linear Doubly Stabilized Crank-Nicolson Scheme for the Allen–Cahn Equation with a General Mobility

  Dianming Hou, Lili Ju, Zhonghua Qiao

  2024-07-22

  DOI:10.4208/aamm.OA-2023-0067

  33750 2547 pp. 1009-1038

• 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

• 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

• 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

• 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

• A Priori Error Estimates of Crank-Nicolson Finite Volume Element Method for Parabolic Optimal Control Problems

  Xianbing Luo, Yanping Chen, Yunqing Huang

  2013-05-01

  DOI:10.4208/aamm.12-m1296

  42870 4255 pp. 688-704

• A Two-Level Crank-Nicolson Difference Scheme and Its Richardson Extrapolation Methods for a Magneto-Thermo-Elasticity Model

  Dingwen Deng, Ruyu Zhang

  2024-02-29

  DOI:10.4208/aamm.OA-2022-0202

  27663 2890 pp. 608-635

• The Crank-Nicolson Hermite Cubic Orthogonal Spline Collocation Method for the Heat Equation with Nonlocal Boundary Conditions

  B. Bialecki, G. Fairweather, J. C. Lόpez-Marcos

  2021-01-13

  DOI:10.4208/aamm.13-13S03

  43216 4380 pp. 442-460

• Alternating Direction Implicit Orthogonal Spline Collocation on Non-Rectangular Regions

  Bernard Bialecki, Ryan I. Fernandes

  2021-01-13

  DOI:10.4208/aamm.13-13S05

  42588 4338 pp. 461-476

• 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

• A High-Efficient Algorithm for Parabolic Problems with Time-Dependent Coefficients

  Chuanmiao Chen, Xiangqi Wang, Hongling Hu

  2018-05-05

  DOI:10.4208/aamm.2015.m1281

  40618 2949 pp. 501-514

• An Energy Stable Local Discontinuous Galerkin Method for a Binary Compressible Flow

  Hui Sun, Lulu Tian, Hui Guo

  2025-03-14

  DOI:10.4208/aamm.OA-2023-0326

  11540 850 pp. 888-908

• Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative

  Fangfang Cao, Yanmin Zhao, Fenling Wang, Yanhua Shi, Changhui Yao

  2022-12-13

  DOI:10.4208/aamm.OA-2021-0263

  40942 3320 pp. 322-358

• 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

• A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity

  Emadidin Gahalla Mohmed Elmahdi, Sadia Arshad, Jianfei Huang

  2023-12-21

  DOI:10.4208/aamm.OA-2022-0049

  26042 2568 pp. 146-163

• Numerical Schemes for Time-Space Fractional Vibration Equations

  Jingna Zhang, Temirkhan S. Aleroev, Yifa Tang, Jianfei Huang

  2021-04-13

  DOI:10.4208/aamm.OA-2020-0066

  45774 3234 pp. 806-826

• An $h$-Adaptive Finite Element Solution of the Relaxation Non-Equilibrium Model for Gravity-Driven Fingers

  Huanying Bian, Yedan Shen, Guanghui Hu

  2021-11-17

  DOI:10.4208/aamm.OA-2020-0218

  49745 4057 pp. 1418-1440

• Modified Two-Grid Algorithm for Nonlinear Power-Law Conductivity in Maxwell's Problems with High Accuracy

  Changhui Yao, Yanfei Li

  2020-12-18

  DOI:10.4208/aamm.OA-2019-0371

  43564 3212 pp. 481-502

• Sinc Collocation Numerical Methods for Solving Two-Dimensional Gross-Pitaevskii Equations with Non-Homogeneous Dirichlet Boundary Conditions

  Shengnan Kang, Kenzu Abdella, Macro Pollanen, Shuhua Zhang, Liang Wang

  2022-08-08

  DOI:10.4208/aamm.OA-2021-0189

  292936 4222 pp. 1302-1332

• Semi-Discrete and Fully Discrete Mixed Finite Element Methods for Maxwell Viscoelastic Model of Wave Propagation

  Hao Yuan, Xiaoping Xie

  2022-01-24

  DOI:10.4208/aamm.OA-2021-0014

  42162 3417 pp. 344-364

• Sensitivity Analysis and Computations of the Time Relaxation Model

  Monika Neda, Fran Pahlevani, Jiajia Waters

  2018-03-29

  DOI:10.4208/aamm.2013.m296

  42806 4553 pp. 89-115

• A Hessian Recovery Based Linear Finite Element Method for Molecular Beam Epitaxy Growth Model with Slope Selection

  Minqiang Xu, Qingsong Zou

  2023-12-21

  DOI:10.4208/aamm.OA-2021-0193

  26921 2757 pp. 1-23

• Fitted Finite Volume Method for Pricing American Options under Regime-Switching Jump-Diffusion Models Based on Penalty Method

  Xiaoting Gan, Jun-Feng Yin, Rui Li

  2020-04-10

  DOI:10.4208/aamm.OA-2019-0017

  45245 3407 pp. 748-773