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$(1+s)$-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
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
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
A Symmetric Inertial Alternating Direction Method of Multipliers for Elliptic Equation Constrained Optimization Problem
Mengyue Wu, Wenbao Ai, Jianhua Yuan, Hui Tian
2022-02-25
DOI:10.4208/aamm.OA-2020-0400
48931
3485
pp. 596-621
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 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
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
Convergence and Complexity of an Adaptive Planewave Method for Eigenvalue Computations
Xiaoying Dai, Yan Pan, Bin Yang, Aihui Zhou
2024-02-29
DOI:10.4208/aamm.OA-2023-0099
27881
2704
pp. 636-666
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
Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation
Na Zhang, Weihua Deng, Yujiang Wu
2012-04-01
DOI:10.4208/aamm.10-m1210
42650
4733
pp. 496-518
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
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
Impact of Linear Operator on the Convergence of HAM Solution: A Modified Operator Approach
S. T. Hussain, S. Nadeem, M. Qasim
2018-05-05
DOI:10.4208/aamm.2014.m809
41076
3165
pp. 499-516
A Reconstructed Discontinuous Approximation to Monge-Ampère Equation in Least Square Formulation
Ruo Li, Fanyi Yang
2023-06-21
DOI:10.4208/aamm.OA-2022-0047
38558
3293
pp. 1109-1141
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 the Numerical Solution of Logarithmic Boundary Integral Equations Arising in Laplace's Equations Based on the Meshless Local Discrete Collocation Method
Pouria Assari, Mehdi Dehghan
2019-06-24
DOI:10.4208/aamm.OA-2018-0050
44248
3323
pp. 807-837
A Finite Element Method by Patch Reconstruction for the Quad-Curl Problem Using Mixed Formulations
Ruo Li, Qicheng Liu, Shuhai Zhao
2024-12-31
DOI:10.4208/aamm.OA-2024-0086
13230
1279
pp. 517-537
Two-Scale Picard Stabilized Finite Volume Method for the Incompressible Flow
Jianhong Yang, Lei Gang, Jianwei Yang
2014-06-01
DOI:10.4208/aamm.2013.m153
42692
4292
pp. 663-679
Convergence Analysis of Legendre-Collocation Methods for Nonlinear Volterra Type Integro Equations
Yin Yang, Yanping Chen, Yunqing Huang, Wei Yang
2018-03-29
DOI:10.4208/aamm.2013.m163
42841
4934
pp. 74-88
Superconvergence of bi-$k$ Degree Time-Space Fully Discontinuous Finite Element for First-Order Hyperbolic Equations
Hongling Hu, Chuanmiao Chen
2018-05-05
DOI:10.4208/aamm.2014.m615
42726
3172
pp. 323-337
Numerical Simulation of a Multi-Frequency Resistivity Logging-While-Drilling Tool Using a Highly Accurate and Adaptive Higher-Order Finite Element Method
Zhonghua Ma, Dejun Liu, Hui Li, Xinsheng Gao
2012-04-01
DOI:10.4208/aamm.10-m11158
42020
4653
pp. 439-453
Convergent Overdetermined-RBF-MLPG for Solving Second Order Elliptic PDEs
Ahmad Shirzadi, Leevan Ling
2018-08-10
DOI:10.4208/aamm.11-m11168
43957
4923
pp. 78-89
Asymptotic Error Analysis for the Discrete Iterated Galerkin Solution of Urysohn Integral Equations with Green’s Kernels
Gobinda Rakshit
2024-12-02
DOI:10.4208/aamm.OA-2023-0004
14440
1521
pp. 175-206
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
A Ciarlet-Raviart Mixed Finite Element Method for Optimal Control Problems Governed by a Fourth Order Bi-Wave Equation
Hongbo Guan, Wen Liu, Yong Yang
2026-06-01
DOI:10.4208/aamm.OA-2023-0229
4320
114
pp. 1037-1057
First-Order, Unconditionally Stable, Fully Decoupled Methods for the Penalty Ericksen-Leslie System with Variable Density
Zhaowei Wang, Danxia Wang, Hongen Jia, Chenhui Zhang
2026-04-01
DOI:10.4208/amm.OA-2024-0065
5051
200
pp. 666-699
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