Search Results

• Convergence Accelerating in the Homotopy Analysis Method: A New Approach

  M. Turkyilmazoglu

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0196

  50214 3563 pp. 925-947

• A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions

  Jialing Wang, Tingchun Wang, Yushun Wang

  2023-02-24

  DOI:10.4208/aamm.OA-2021-0219

  38435 3264 pp. 786-813

• Convergence Analysis on Stochastic Collocation Methods for the Linear Schrödinger Equation with Random Inputs

  Zhizhang Wu, Zhongyi Huang

  2020-03-06

  DOI:10.4208/aamm.OA-2019-0008

  49571 4881 pp. 30-56

• Quadrotor Convergence Trajectory Optimization Model Based on Minimum Energy Consumption

  Biao Zhang, Peng Xiao, Hongliang Liu, Mingyue Ma, Qian Wang, Zhi Mao

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0059

  45755 3246 pp. 673-689

• 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

• $(1+s)$-Order Convergence Analysis of Weak Galerkin Finite Element Methods for Second Order Elliptic Equations

  Yiying Wang, Yongkui Zou, Shimin Chai

  2020-12-21

  DOI:10.4208/aamm.OA-2020-0020

  47914 3259 pp. 554-568

• 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

• Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media

  Maoping Wang, Weihua Deng

  2026-04-01

  DOI:10.4208/aamm.OA-2023-0282

  5088 241 pp. 724-755

• Nonpolynomial Jacobi Spectral-Collocation Method for Weakly Singular Fredholm Integral Equations of the Second Kind

  Qiumei Huang, Min Wang

  2024-05-14

  DOI:10.4208/aamm.OA-2022-0341

  25547 2602 pp. 927-951

• Convergence Analysis of a Global-in-Time Iterative Decoupled Algorithm for Biot’s Model

  Huipeng Gu, Mingchao Cai, Jingzhi Li

  2025-03-14

  DOI:10.4208/aamm.OA-2024-0074

  11510 881 pp. 778-803

• Local Discontinuous Galerkin Method for the Backward Feynman-Kac Equation

  Dong Liu, Weihua Deng

  2025-05-12

  DOI:10.4208/aamm.OA-2023-0015

  8722 593 pp. 1204-1238

• Strong Convergence Analysis of Split-Step θ-Scheme for Nonlinear Stochastic Differential Equations with Jumps

  Xu Yang, Weidong Zhao

  2021-07-01

  DOI:10.4208/aamm.2015.m1208

  45409 4102 pp. 1004-1022

• 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

• The Convergence of Euler-Maruyama Method of Nonlinear Variable-Order Fractional Stochastic Differential Equations

  Shanshan Xu, Lin Wang, Wenqiang Wang

  2023-04-11

  DOI:10.4208/aamm.OA-2021-0222

  38791 3310 pp. 852-879

• Convergence Analysis for the Chebyshev Collocation Methods to Volterra Integral Equations with a Weakly Singular Kernel

  Xiong Liu, Yanping Chen

  2021-07-01

  DOI:10.4208/aamm.OA-2016-0049

  41838 3782 pp. 1506-1524

• Convergence of Monotone Schemes for Conservation Laws with Zero-Flux Boundary Conditions

  K. H. Karlsen, J. D. Towers

  2018-08-04

  DOI:10.4208/aamm.2016.m-s1

  43173 4394 pp. 515-542 Open Access

• Convergence Rates of a Class of Predictor-Corrector Iterations for the Nonsymmetric Algebraic Riccati Equation Arising in Transport Theory

  Ning Dong, Jicheng Jin, Bo Yu

  2018-05-05

  DOI:10.4208/aamm.2015.m1277

  42811 3090 pp. 944-963

• Convergence of a Distributional Monte Carlo Method for the Boltzmann Equation

  Christopher R. Schrock, Aihua W. Wood

  2012-04-01

  DOI:10.4208/aamm.10-m11113

  42474 4829 pp. 102-121

• Piecewise Spectral Collocation Method for Second Order Volterra Integro-Differential Equations with Nonvanishing Delay

  Zhenrong Chen, Yanping Chen, Yunqing Huang

  2022-08-08

  DOI:10.4208/aamm.OA-2021-0334

  288866 4061 pp. 1333-1356

• Anderson Acceleration of Nonlinear Solvers for the Stationary Gross-Pitaevskii Equation

  Dominique Forbes, Leo G. Rebholz, Fei Xue

  2021-06-08

  DOI:10.4208/aamm.OA-2020-0270

  45879 3291 pp. 1096-1125

• New Regularization and Error Estimate for the Cauchy Problem of the Nonlinear Helmholtz-Type Equation

  Zhenping Li, Xiangtuan Xiong

  2026-08-01

  DOI:10.4208/aamm.OA-2024-0180

  904 94 pp. 1269-1306

• ALM-PINN: An Adaptive Physical Informed Neural Network Optimized by Levenberg-Marquardt for Efficient Solution of Singular Perturbation Problems

  Yinghao Chen, Muzhou Hou, Jingying Hu, Yang Xiao, Jinyong Ying, Ting Zhang

  2025-09-29

  DOI:10.4208/aamm.OA-2024-0092

  7312 413 pp. 1841-1866

• Strong Converge Order of the General One-Step Method for Neutral Stochastic Delay Differential Equations under a Global Monotone Condition

  Chao Yue, Haoyong Zhuang, Longbin Zhao

  2025-09-29

  DOI:10.4208/aamm.OA-2024-0017

  7282 382 pp. 1654-1681

• A Mixed Formulation of Stabilized Nonconforming Finite Element Method for Linear Elasticity

  Bei Zhang, Jikun Zhao

  2020-03-06

  DOI:10.4208/aamm.OA-2019-0048

  47384 4962 pp. 278-300

• Discontinuous Galerkin Methods for Multi-Pantograph Delay Differential Equations

  Kun Jiang, Qiumei Huang, Xiuxiu Xu

  2020-03-06

  DOI:10.4208/aamm.OA-2019-0116

  48703 5189 pp. 189-211

• Convergence Analysis of Legendre-Collocation Spectral Methods for Second Order Volterra Integro-Differential Equation with Delay

  Weishan Zheng, Yanping Chen, Yunqing Huang

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0121

  44106 3165 pp. 486-500

• Convergence and Quasi-Optimality of an Adaptive Continuous Interior Penalty Finite Element Method

  Lingxue Zhu, Zhenhua Zhou

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0160

  43571 3241 pp. 428-451