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Optimizing Thermal Lattice Boltzmann Method on an MT-3000 Processor with Neo-Heterogeneous Strategie
Author: Zhang, Qingyang; Xu, Lei; Chen, Rongliang; Zou, Hang; Yang, Bo; Li, Jingzhi; Liu, Jie
Journal: ADVANCES IN APPLIED MATHEMATICS AND MECHANICS. 2026; Vol. 18, Issue 5, pp. 1421-1452. DOI: 10.4208/aamm.OA-2025-0046
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A First-Order Linear Energy Stable Scheme for the Cahn-Hilliard Equation with Dynamic Boundary Conditions Under the Effect of Hyperbolic Relaxatio
Author: Yu, Minghui; Chen, Rui
Journal: ADVANCES IN APPLIED MATHEMATICS AND MECHANICS. 2026; Vol. 18, Issue 5, pp. 1616-1648. DOI: 10.4208/aamm.OA-2025-0180
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Error Analyses of the Single Hidden Layer Neural Network Based on the Extreme Learning Machine for Solving Differential Equation
Author: Xing, Baixue; Liu, Hongliang; Li, Haodong; Fu, Zhenxing
Journal: ADVANCES IN APPLIED MATHEMATICS AND MECHANICS. 2026; Vol. 18, Issue 5, pp. 1453-1502. DOI: 10.4208/aamm.OA-2025-0085
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Numerical Simulation of Phase-Field Round and Square Crystal Models on Curved Dynamic Substrates via the Evolving Surface Finite Element Metho
Author: Xiao, Xufeng; Liu, Lulu; Yu, Xiao; Feng, Xinlong
Journal: ADVANCES IN APPLIED MATHEMATICS AND MECHANICS. 2026; Vol. 18, Issue 5, pp. 1389-1420. DOI: 10.4208/aamm.OA-2025-0017
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Explicit Form of Simplified Grad's 13 Moments Distribution Function-Based Moment Gas Kinetic Solver with Unstructured Meshes for the Multiscale Rarefied Flo
Author: Liu, Wei; Liu, Zijian
Journal: ADVANCES IN APPLIED MATHEMATICS AND MECHANICS. 2026; Vol. 18, Issue 5, pp. 1576-1601. DOI: 10.4208/aamm.OA-2025-0254
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High-Order Unconditionally Energy-Stable Decoupled Method for Phase Field Modeling of Pitting Corrosion with Adaptive Implementatio
Author: Li, Futuan; Li, Hongwei; Tang, Tao; Yang, Jiang
Journal: ADVANCES IN APPLIED MATHEMATICS AND MECHANICS. 2026; Vol. 18, Issue 5, pp. 1355-1388. DOI: 10.4208/aamm.OA-2025-0232
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Unconditionally Energy-Dissipation- and Maximum-Bound-Principle-Preserving Scheme for the Time-Fractional Allen-Cahn Equatio
Author: Hu, Dongdong; Huang, Haorong; Fu, Yayun; Chen, Minghua
Journal: ADVANCES IN APPLIED MATHEMATICS AND MECHANICS. 2026; Vol. 18, Issue 5, pp. 1503-1530. DOI: 10.4208/aamm.OA-2025-0003
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High-Order Numerical Approximation and Error Estimation for Fourth-Order Equation in Complex Cylindrical Domai
Author: Zhao, Xuenan; An, Jing; Zhang, Juan
Journal: ADVANCES IN APPLIED MATHEMATICS AND MECHANICS. 2026; Vol. 18, Issue 4, pp. 1189-1209. DOI: 10.4208/aamm.OA-2024-0276
