Articles

• Stochastic Gradient Descent for Linear Systems with Missing Data

  Anna Ma & Deanna Needell

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  52916 5284 Pages:1-20 Open-access

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

  Sihong Shao & Yunfeng Xiong

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  51735 4703 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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  41959 4532 Pages:72-97

• Weighted Integral of Infinitely Differentiable Multivariate Functions is Exponentially Convergent

  Guiqiao Xu, Yongping Liu & Jie Zhang

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  41241 4259 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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  42343 4522 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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  41208 4262 Pages:134-153

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

  Baohua Huang & Changfeng Ma

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  41414 4328 Pages:154-168

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

  Qiumei Huang, Dongfang Li & Jiwei Zhang

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  41814 4574 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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  41291 4382 Pages:187-211

• A Mixed Regularization Method for Ill-Posed Problems

  Hui Zheng & Wensheng Zhang

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  41709 4507 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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  41113 4393 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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  41452 4422 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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  42221 4504 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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  44553 4913 Pages:312-330