Articles

• On the Optimal Order Approximation of the Partition of Unity Finite Element Method

  Yunqing Huang, Shangyou Zhang

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  23779 2116 Pages:221-233

• A Fourier Matching Method for Analyzing Resonances in a Sound-Hard Slab with Subwavelength Holes

  Wangtao Lu, Wei Wang, Jiaxin Zhou

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  23570 14 Pages:234-263

• On the Well-Posedness of UPML Method for Wave Scattering in Layered Media

  Wangtao Lu, Jun Lai, Haijun Wu

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  23922 15 Pages:264-294

• A Novel Computational Method for Two-State Transcription Model with Non-Exponential ON and OFF Durations

  Manyi Zheng, Zhishan Qiu, Feng Jiao, Qiwen Sun

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  21101 1788 Pages:295-319

• A $C^1$-Conforming Gauss Collocation Method for Elliptic Equations and Superconvergence Analysis Over Rectangular Meshes

  Waixiang Cao, Lueling Jia, Zhimin Zhang

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  20558 1800 Pages:320-349

• Embedding Principle in Depth for the Loss Landscape Analysis of Deep Neural Networks

  Zhiwei Bai, Tao Luo, Zhi-Qin John Xu, Yaoyu Zhang

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  21368 1902 Pages:350-389

• Stochastic Runge-Kutta Methods for Preserving Maximum Bound Principle of Semilinear Parabolic Equations. Part I: Gaussian Quadrature Rule

  Yabing Sun, Weidong Zhao

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  21660 1840 Pages:390-420