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• Adaptive Finite Element Solutions of a Diffusion Model for Drug Release in PLGA Microspheres

  Hongyu Chen, Guanghui Hu, Defang Ouyang

  2025-11-19

  https://doi.org/10.4208/aamm.OA-2024-0219

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• Two Lattice Boltzmann Models for Three-Dimensional Coupled Burgers’ Equations

  Qianhuan Li, Fumei Rong, Zhenhua Chai, Baochang Shi

  2025-11-19

  https://doi.org/10.4208/aamm.OA-2024-0110

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• Weighted Sonine Conditions and Application

  Xiangcheng Zheng, Shangqin Zhu, Yiqun Li

  2025-11-19

  https://doi.org/10.4208/aamm.OA-2024-0145

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• Fluid-Structure Interactions: One-Field Monolithic Fictitious Domain Method and Its Parallelization

  Meng-Huo Chen, Yongxing Wang, Chiahui Cheng, Peter K. Jimack

  2025-11-19

  https://doi.org/10.4208/aamm.OA-2024-0103

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• Taylor Remainder-Based Discontinuity Detection Method with Application to Hybrid Compact-WENO Finite Difference Scheme for Hyperbolic Conservation Laws

  Xin-Ru Liu, Xiao Wen

  2025-11-19

  https://doi.org/10.4208/aamm.OA-2024-0124

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• The Second-Order Mass-Conservative Characteristic Finite Difference Method for Sobolev Equation with Convection Term

  Kai Fu, Zhaohui Liu, Jiansong Zhang

  2025-11-22

  https://doi.org/10.4208/aamm.OA-2024-0154

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• Numerical Simulation of Phase-Field Round and Square Crystal Models on Curved Dynamic Substrates via the Evolving Surface Finite Element Method

  Xufeng Xiao, Lulu Liu, Xiao Yu, Xinlong Feng

  2025-11-19

  https://doi.org/10.4208/aamm.OA-2025-0017

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

  Tiao Lu, Xingchun Yu, Wenqi Yao

  2025-11-22

  https://doi.org/10.4208/aamm.OA-2024-0234

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• On Stable Difference Schemes for the Solution of Soliton Type Coupled Sine-Gordon Equations in the Weak Sense

  Ozgur Yildirim

  2025-11-22

  https://doi.org/10.4208/aamm.OA-2023-0049

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• A Crank-Nicolson Finite Difference Scheme for the (2+1)D Saturable Nonlinear Schrödinger Equation with Generalized Damping

  Anh Ha Le, Quan M. Nguyen

  2025-11-22

  https://doi.org/10.4208/aamm.OA-2024-0167

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• 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

  2025-11-22

  https://doi.org/10.4208/aamm.OA-2023-0229

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• A Discrete Collocation Technique using the Thin Plate Splines for Solving a Certain Class of Integro-Differential Equations Arising in Biology Models

  Pouria Assari, Fatemeh Asadi-Mehregan, Mehdi Dehghan

  2025-11-22

  https://doi.org/10.4208/aamm.OA-2024-0018

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• Optimizing Thermal Lattice Boltzmann Method on an MT-3000 Processor with Neo-Heterogeneous Strategies

  Qingyang Zhang, Lei Xu, Rongliang Chen, Hang Zou, Bo Yang, Jingzhi Li, Jie Liu

  2025-11-22

  https://doi.org/10.4208/aamm.OA-2025-0046

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• Should Exponential Integrators be Used for Advection-Dominated Problems?

  Lukas Einkemmer, Trung-Hau Hoang, Alexander Ostermann

  2025-11-22

  https://doi.org/10.4208/aamm.OA-2024-0226

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• A New Composite Wall Function for Adverse Pressure Gradient Flows

  Yiming Du, Mingze Ma, Jinrong Zhang, Hanqi Song, Chao Yan

  2025-11-22

  https://doi.org/10.4208/aamm.OA-2024-0193

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• Error Analyses of the Single Hidden Layer Neural Network Based on the Extreme Learning Machine for Solving Differential Equations

  Baixue Xing, Hongliang Liu, Haodong Li, Zhenxing Fu

  2025-11-22

  https://doi.org/10.4208/aamm.OA-2025-0085

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• Analyzing Bending Problems of Plates on Elastic Foundations via Improved Element-Free Galerkin Method

  Heng Cheng, Dongqiong Liang, Fengbin Liu

  2025-11-28

  https://doi.org/10.4208/aamm.OA-2024-0238

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• A Fast Spatial Two-Grid Raviart-Thomas MFE Algorithm for the Nonlinear Time Fractional Diffusion Equations on Temporal Graded Mesh

  Zhichao Fang, Shubin Dong, Jie Zhao, Hong Li

  2025-11-28

  https://doi.org/10.4208/aamm.OA-2023-0307

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• High-Order Numerical Approximation and Error Estimation for Fourth-Order Equation in Complex Cylindrical Domain

  Xuenan Zhao, Jing An, Juan Zhang

  2025-11-28

  https://doi.org/10.4208/aamm.OA-2024-0276

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• A Fully Discrete Method for Space-Time Fractional Parabolic Problems

  Zunlin Tan, Xiaoping Xie

  2025-11-28

  https://doi.org/10.4208/aamm.OA-2024-0056

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