Articles

• Stochastic Gradient Descent for Linear Systems with Missing Data

  Anna Ma, Deanna Needell

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  52984 5309 Pages:1-20 Open-access

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

  Sihong Shao, Yunfeng Xiong

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  51791 4729 Pages:21-71

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

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

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  42018 4554 Pages:72-97

• Weighted Integral of Infinitely Differentiable Multivariate Functions is Exponentially Convergent

  Guiqiao Xu, Yongping Liu, Jie Zhang

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  41295 4282 Pages:98-114

• 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

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  42400 4540 Pages:115-133

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

  Tianliang Hou, Chunmei Liu, Hongbo Chen

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  41266 4279 Pages:134-153

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

  Baohua Huang, Changfeng Ma

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  41468 4343 Pages:154-168

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

  Qiumei Huang, Dongfang Li, Jiwei Zhang

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  41877 4601 Pages:169-186

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

  Chongjun Li, Pengxiao Wang

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  41345 4420 Pages:187-211

• A Mixed Regularization Method for Ill-Posed Problems

  Hui Zheng, Wensheng Zhang

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  41765 4534 Pages:212-232

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

  Hao Wang, Shaohui Liu, Feng Yang

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  41182 4412 Pages:233-264

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

  Yanmin Ren, Xuhong Yu, Zhongqing Wang

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  41513 4437 Pages:265-284

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

  Xuan He, Wei Zhu, Xue-Cheng Tai

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  42279 4526 Pages:285-311

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

  Tao Wang, Tiegang Liu

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  44618 4936 Pages:312-330