Articles

• Stochastic Gradient Descent for Linear Systems with Missing Data

  Anna Ma & Deanna Needell

  1-20

  [An open-access article; the PDF is free to any online user.]

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• A Branching Random Walk Method for Many-Body Wigner Quantum Dynamics

  Sihong Shao & Yunfeng Xiong

  21-71

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• A New Triangular Spectral Element Method II: Mixed Formulation and $hp$-Error Estimates

  Bingzhen Zhou, Bo Wang, Li-Lian Wang & Ziqing Xie

  72-97

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• Weighted Integral of Infinitely Differentiable Multivariate Functions is Exponentially Convergent

  Guiqiao Xu, Yongping Liu & Jie Zhang

  98-114

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• An Improved Model Reduction Method on AIMs for N-S Equations Using Multilevel Finite Element Method and Hierarchical Basis

  M. Nauman Aslam, Jiazhong Zhang, Nannan Dang & Riaz Ahmad

  115-133

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• Fully Discrete $H$1-Galerkin Mixed Finite Element Methods for Parabolic Optimal Control Problems

  Tianliang Hou, Chunmei Liu & Hongbo Chen

  134-153

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• The Modulus-Based Levenberg-Marquardt Method for Solving Linear Complementarity Problem

  Baohua Huang & Changfeng Ma

  154-168

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• Numerical Investigations of a Class of Biological Models on Unbounded Domain

  Qiumei Huang, Dongfang Li & Jiwei Zhang

  169-186

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• The Instability in the Dimensions of Spline Spaces over $T$-Meshes with Nested $T$-Cycles

  Chongjun Li & Pengxiao Wang

  187-211

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• A Mixed Regularization Method for Ill-Posed Problems

  Hui Zheng & Wensheng Zhang

  212-232

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• A Posteriori Error Control for Three Typical Force-Based Atomistic-to-Continuum Coupling Methods for an Atomistic Chain

  Hao Wang, Shaohui Liu & Feng Yang

  233-264

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• Diagonalized Chebyshev Rational Spectral Methods for Second-Order Elliptic Problems on Unbounded Domains

  Yanmin Ren, Xuhong Yu & Zhongqing Wang

  265-284

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• Segmentation by Elastica Energy with $L$1 and $L$2 Curvatures: A Performance Comparison

  Xuan He & Wei Zhu & Xue-Cheng Tai

  285-311

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• A Consistent Fourth-Order Compact Finite Difference Scheme for Solving Vorticity-Stream Function Form of Incompressible Navier-Stokes Equations

  Tao Wang & Tiegang Liu

  312-330

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