Articles

• Element Learning: A Systematic Approach of Accelerating Finite Element-Type Methods via Machine Learning, with Applications to Radiative Transfer

  Shukai Du, Samuel N. Stechmann

  1-34

  https://doi.org/10.4208/jcm.2407-m2024-0047

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  1316 56

• Strong Convergence of an Explicit Full-Discrete Scheme for Stochastic Burgers-Huxley Equation

  Yibo Wang, Wanrong Cao, Yanzhao Cao

  35-60

  https://doi.org/10.4208/jcm.2408-m2024-0110

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  1280 40

• Optimal Point-Wise Error Estimate of Two Second-Order Accurate Finite Difference Schemes for the Heat Equation with Concentrated Capacity

  Leilei Shi, Tingchun Wang, Xuanxuan Zhou

  61-83

  https://doi.org/10.4208/jcm.2409-m2024-0044

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  1290 41

• Numerical Ergodicity and Uniform Estimate of Monotone SPDEs Driven by Multiplicative Noise

  Zhihui Liu

  84-102

  https://doi.org/10.4208/jcm.2409-m2024-0041

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  1306 59

• Stabilization-Free Virtual Element Method for the Transmission Eigenvalue Problem on Anisotropic Media

  Jian Meng, Lei Guan, Xu Qian, Songhe Song, Liquan Mei

  103-134

  https://doi.org/10.4208/jcm.2410-m2024-0023

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  1298 61

• Augmented Subspace Scheme for Eigenvalue Problem by Weak Galerkin Finite Element Method

  Yue Feng, Zhijin Guan, Hehu Xie, Chenguang Zhou

  135-164

  https://doi.org/10.4208/jcm.2410-m2024-0079

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  1310 59

• Error Analysis of Stabilized Convex Splitting ${\rm BDF}k$ Method for the Molecular Beam Epitaxial Model with Slope Selection

  Juan Li, Xuping Wang

  165-190

  https://doi.org/10.4208/jcm.2410-m2024-0001

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  1296 69

• High-Order Compact ADI Schemes for 2D Semi-Linear Reaction-Diffusion Equations with Piecewise Continuous Argument in Reaction Term

  Bo Hou, Chengjian Zhang

  191-212

  https://doi.org/10.4208/jcm.2410-m2024-0084

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  1280 46

• Chaotic Synchronization of Quaternionic Neural Networks with Time-Varying Delays and Its Application in Cryptosystem

  Li Li, Xudong Chen, Jing Liang, Farong Kou, Hongguang Pan

  213-231

  https://doi.org/10.4208/jcm.2410-m2024-0025

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  1295 55

• Numerical Studies of I-V Characteristics in Resonant Tunneling Diodes: A Survey of Convergence

  Xingming Gao, Haiyan Jiang, Tiao Lu, Wenqi Yao

  232-247

  https://doi.org/10.4208/jcm.2410-m2024-0037

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  1281 50

• Analysis of an Embedded Variable Step Implicit-Explicit Scheme for Natural Convection Problems

  Mengru Jiang, Jilian Wu, Xinlong Feng, Ning Li

  248-285

  https://doi.org/10.4208/jcm.2410-m2024-0048

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  1289 58

• Stability and Error Estimates of Ultra-Weak Local Discontinuous Galerkin Method with Spectral Deferred Correction Time-Marching for PDEs with High Order Spatial Derivatives

  Lingling Zhou, Wenhua Chen, Ruihan Guo

  286-306

  https://doi.org/10.4208/jcm.2410-m2024-0092

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  1295 58