Search Results

• 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

• 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

• 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

• 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

• Comparative Study of Implicit and Explicit Immersed Boundary-Lattice Boltzmann Methods for Simulation of Fluid-Structure Interactions

  J. Y. Shao, N. Y. Liu

  2018-09-17

  DOI:10.4208/aamm.OA-2018-0076

  44964 3257 pp. 1173-1190

• Explicit High Order One-Step Methods for Decoupled Forward Backward Stochastic Differential Equations

  Quan Zhou, Yabing Sun

  2021-11-17

  DOI:10.4208/aamm.OA-2020-0133

  50181 4076 pp. 1293-1317

• 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 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 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

• Convergence and Stability of an Explicit Method for Autonomous Time-Changed Stochastic Differential Equations with Super-Linear Coefficients

  Xiaotong Li, Juan Liao, Wei Liu, Zhuo Xing

  2023-02-24

  DOI:10.4208/aamm.OA-2021-0335

  40369 3436 pp. 651-683

• Explicit Form of Simplified Grad’s 13 Moments Distribution Function-Based Moment Gas Kinetic Solver with Unstructured Meshes for the Multiscale Rarefied Flow

  Wei Liu, Zijian Liu

  2026-01-14

  DOI:10.4208/aamm.OA-2025-0254

  1020 93 pp. 1576-1601

• 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

• 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

• An Explicit Superconvergent Weak Galerkin Finite Element Method for the Heat Equation

  Fuzheng Gao, Shangyou Zhang

  2024-12-31

  DOI:10.4208/aamm.OA-2023-0290

  13222 1219 pp. 538-553

• 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

• An Explicit Method for the Coupled Forward Backward Stochastic Differential Equations

  Xiao Tang, Jie Xiong

  2025-09-29

  DOI:10.4208/aamm.OA-2024-0026

  7288 364 pp. 1682-1714

• 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

• Implicit-Explicit Methods for the Efficient Simulation of the Settling of Dispersions of Droplets and Colloidal Particles

  Raimund Bürger, Pep Mulet, Lihki Rubio

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0029

  44496 3133 pp. 445-467

• 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 Truncated-Type Explicit Numerical Method for the Stochastic Allen-Cahn Equation

  Weijun Zhan, Qian Guo

  2024-12-02

  DOI:10.4208/aamm.OA-2022-0240

  14453 1306 pp. 295-314

• On Convergence and Superconvergence of Discontinuous Galerkin Method for Semi-Explicit Index-1 Integro-Differential Algebraic Equations

  Haiyan Zhang, Hui Liang

  2025-09-29

  DOI:10.4208/aamm.OA-2025-0147

  7223 364 pp. 1867-1894

• Explicit, Monotone and Structure-Preserving Finite Difference Methods for Fisher-Kolmogorov-Petrovsky-Piscounov Equation and Allen-Cahn Equation

  Yuxin Liang, Dingwen Deng

  2026-04-01

  DOI:10.4208/aamm.OA-2023-0267

  5098 237 pp. 450-481

• 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

• 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

• Unified a Priori Error Estimate and a Posteriori Error Estimate of CIP-FEM for Elliptic Equations

  Jianye Wang, Rui Ma

  2018-05-05

  DOI:10.4208/aamm.2014.m834

  42292 3051 pp. 517-535