Search Results

• 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

• 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 New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation

  Yanhong Yang, Yongzhong Song, Haochen Li, Yushun Wang

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0038

  44321 4961 pp. 242-260

• Decoupled and Unconditionally Energy Stable Numerical Schemes for the Thermally Coupled Incompressible Magnetohydrodynamics Flow

  Chao Lu, Qinghua Li, Tong Zhang

  2026-04-01

  DOI:10.4208/aamm.OA-2023-0135

  5255 260 pp. 601-641

• A Time Second-Order Mass-Conserved Implicit-Explicit Domain Decomposition Scheme for Solving the Diffusion Equations

  Zhongguo Zhou, Dong Liang

  2018-05-05

  DOI:10.4208/aamm.2015.m1049

  42363 3101 pp. 795-817

• Unconditional Stability and Fourth-Order Convergence of a Two-Step Time Split Explicit/Implicit Scheme for Two-Dimensional Nonlinear Unsteady Convection-Diffusion-Reaction Equation

  Eric Ngondiep, Ali H. Tedjani

  2024-11-01

  DOI:10.4208/aamm.OA-2023-0040

  15707 1453 pp. 1381-1409

• 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

• PINN-Based Partial Learning for Multicontinuum Problems: Dual Continuum Fluid Filtration Simulation

  Wanbao Huang, Yin Yang, Dmitry Ammosov, Wei Xie, Sergei Stepanov

  2026-04-01

  DOI:10.4208/aamm.OA-2024-0222

  5164 254 pp. 537-560

• High-Efficiency Explicit Multistep Schemes for Coupled Second-Order FBSDEs

  Bo Li, Weidong Zhao

  2026-02-01

  DOI:10.4208/aamm.OA-2024-0273

  4868 457 pp. 322-347

• Alternating Cell Direction Implicit Method Using Approximate Factorization on Hybrid Grids

  Ali Ruhşen Çete, Oğuz Kaan Onay

  2022-02-25

  DOI:10.4208/aamm.OA-2020-0028

  48217 3291 pp. 539-576

• High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics

  Junming Duan, Huazhong Tang

  2020-03-06

  DOI:10.4208/aamm.OA-2019-0124

  142377 5909 pp. 1-29

• Modelling and Numerical Valuation of Power Derivatives in Energy Markets

  Mai Huong Nguyen, Matthias Ehrhardt

  2012-04-01

  DOI:10.4208/aamm.10-m1133

  41360 5192 pp. 259-293 Open Access

• Explicit Multi-Symplectic Splitting Methods for the Nonlinear Dirac Equation

  Yaming Chen, Songhe Song, Huajun Zhu

  2014-06-01

  DOI:10.4208/aamm.2013.m278

  44009 4589 pp. 494-514

• A New Explicit Immersed Boundary Method for Simulation of Fluid-Solid Interactions

  B. Harikrishnan, Zhen Chen, Chang Shu

  2020-12-18

  DOI:10.4208/aamm.OA-2020-0106

  62143 4063 pp. 261-284

• Symplectic Euler Method for Nonlinear High Order Schrödinger Equation with a Trapped Term

  Fangfang Fu, Linghua Kong, Lan Wang

  2018-08-10

  DOI:10.4208/aamm.09-m0929

  41316 4213 pp. 699-710

• Efficient and Stable Exponential Runge-Kutta Methods for Parabolic Equations

  Liyong Zhu

  2018-05-05

  DOI:10.4208/aamm.2015.m1045

  43540 4790 pp. 157-172

• Finite Element $θ$-Schemes for the Acoustic Wave Equation

  Samir Karaa

  2018-08-10

  DOI:10.4208/aamm.10-m1018

  42058 4265 pp. 181-203

• 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

• Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

  Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao

  2018-05-05

  DOI:10.4208/aamm.2014.m811

  42130 4759 pp. 353-385 Open Access

• On the Fully Implicit Solution of a Phase-Field Model for Binary Alloy Solidification in Three Dimensions

  Christopher E. Goodyer, Peter K. Jimack, Andrew M. Mullis, Hongbiao Dong, Yu Xie

  2021-07-01

  DOI:10.4208/aamm.12-12S07

  43557 4405 pp. 665-684

• High Order Efficient Algorithm for Computation of MHD Flow Ensembles

  Muhammad Mohebujjaman

  2022-06-13

  DOI:10.4208/aamm.OA-2021-0154

  43377 3537 pp. 1111-1137

• 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

• 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

• Penalty Finite Element Method for the 2D/3D Unsteady Incompressible Thermomicropolar Fluid Equations

  Junru Guo, Demin Liu

  2025-07-19

  DOI:10.4208/aamm.OA-2023-0238

  8143 582 pp. 1509-1549

• High-Order Unconditionally Energy-Stable Decoupled Method for Phase Field Modeling of Pitting Corrosion with Adaptive Implementation

  Futuan Li, Hongwei Li, Tao Tang, Jiang Yang

  2026-01-30

  DOI:10.4208/aamm.OA-2025-0232

  1142 235 pp. 1355-1388

• The Locally Conservative Galerkin (LCG) Method — a Discontinuous Methodology Applied to a Continuous Framework

  Rhodri L. T. Bevan, Raoul vanLoon, Perumal Nithiarasu

  2018-08-10

  41014 3886 pp. 319-340

• 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