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

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  2567 258 Pages:1-34

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

  Yibo Wang, Wanrong Cao, Yanzhao Cao

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  2378 175 Pages:35-60

• 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

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  2392 146 Pages:61-83

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

  Zhihui Liu

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  2433 189 Pages:84-102

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

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

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  2391 174 Pages:103-134

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

  Yue Feng, Zhijin Guan, Hehu Xie, Chenguang Zhou

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  2620 171 Pages:135-164

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

  Juan Li, Xuping Wang

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  2407 188 Pages:165-190

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

  Bo Hou, Chengjian Zhang

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  2368 153 Pages:191-212

• 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

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  2430 176 Pages:213-231

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

  Xingming Gao, Haiyan Jiang, Tiao Lu, Wenqi Yao

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  2386 151 Pages:232-247

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

  Mengru Jiang, Jilian Wu, Xinlong Feng, Ning Li

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  2380 161 Pages:248-285

• 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

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  2410 185 Pages:286-306