Search Results

• 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

• 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

• 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

• 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

• 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

• 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

• Cell-Average Based Neural Network Method for Hunter-Saxton Equations

  Chunjie Zhang, Changxin Qiu, Xiaofang Zhou, Xiaoming He

  2024-05-14

  DOI:10.4208/aamm.OA-2022-0278

  26596 2500 pp. 833-859

• 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

• 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

• 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

• Runge-Kutta Discontinuous Galerkin Method with Front Tracking Method for Solving the Compressible Two-Medium Flow on Unstructured Meshes

  Haitian Lu, Jun Zhu, Chunwu Wang, Ning Zhao

  2018-05-05

  DOI:10.4208/aamm.2015.m1070

  44663 5415 pp. 73-91

• 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

• 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

• 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

• 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

• 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

• Optimal Convergence Rate of $\theta$--Maruyama Method for Stochastic Volterra Integro-Differential Equations with Riemann--Liouville Fractional Brownian Motion

  Mengjie Wang, Xinjie Dai, Aiguo Xiao

  2021-11-18

  DOI:10.4208/aamm.OA-2020-0384

  49745 4508 pp. 202-217

• Sinc Collocation Solutions for the Integral Algebraic Equation of Index-1

  Jingjun Zhao, Yang Cao, Yang Xu

  2018-05-05

  DOI:10.4208/aamm.2014.m828

  43341 3095 pp. 757-771

• A Buckley-Leverett Theory Based Lattice Boltzmann Method for Immiscible Two-Phase Flow with Viscous Coupling in Porous Media

  Yang Wang, Liang Shi, Yong Liu, Haihu Liu

  2024-02-29

  DOI:10.4208/aamm.OA-2022-0275

  27957 2733 pp. 692-714

• A Conservative Sharp Interface Method for Compressible Two-Medium Flows on Unstructured Triangular Meshes

  Tiao Lu, Xingchun Yu, Wenqi Yao

  2026-06-01

  DOI:10.4208/aamm.OA-2024-0234

  4274 145 pp. 961-987

• 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 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

• 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

• Optimal Error Estimates of the Semi-Discrete Local Discontinuous Galerkin Method and Exponential Time Differencing Schemes for the Thin Film Epitaxy Problem Without Slope Selection

  Danni Zhang, Ruihan Guo

  2023-02-24

  DOI:10.4208/aamm.OA-2021-0204

  39136 3550 pp. 545-567

• 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