Vol. 12 No. 1 (2019) | Numerical Mathematics: Theory, Methods and Applications

Vol. 12 No. 1 (2019)

open access

Published: 2018-09-18

Articles

Stochastic Gradient Descent for Linear Systems with Missing Data

Anna Ma & Deanna Needell

1-20

https://doi.org/10.4208/nmtma.OA-2018-0066

[An open-access article; the PDF is free to any online user.]
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52825 5214
A Branching Random Walk Method for Many-Body Wigner Quantum Dynamics

Sihong Shao & Yunfeng Xiong

21-71

https://doi.org/10.4208/nmtma.OA-2018-0074
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51651 4535
A New Triangular Spectral Element Method II: Mixed Formulation and $hp$-Error Estimates

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

72-97

https://doi.org/10.4208/nmtma.OA-2018-0038
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41871 4422
Weighted Integral of Infinitely Differentiable Multivariate Functions is Exponentially Convergent

Guiqiao Xu, Yongping Liu & Jie Zhang

98-114

https://doi.org/10.4208/nmtma.OA-2017-0129
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41165 4198
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

https://doi.org/10.4208/nmtma.OA-2017-0106
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42274 4467
Fully Discrete $H$1-Galerkin Mixed Finite Element Methods for Parabolic Optimal Control Problems

Tianliang Hou, Chunmei Liu & Hongbo Chen

134-153

https://doi.org/10.4208/nmtma.2019.m1623
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41136 4198
The Modulus-Based Levenberg-Marquardt Method for Solving Linear Complementarity Problem

Baohua Huang & Changfeng Ma

154-168

https://doi.org/10.4208/nmtma.OA-2017-0135
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41338 4259
Numerical Investigations of a Class of Biological Models on Unbounded Domain

Qiumei Huang, Dongfang Li & Jiwei Zhang

169-186

https://doi.org/10.4208/nmtma.OA-2017-0117
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41726 4515
The Instability in the Dimensions of Spline Spaces over $T$-Meshes with Nested $T$-Cycles

Chongjun Li & Pengxiao Wang

187-211

https://doi.org/10.4208/nmtma.OA-2017-0110
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41221 4307
A Mixed Regularization Method for Ill-Posed Problems

Hui Zheng & Wensheng Zhang

212-232

https://doi.org/10.4208/nmtma.OA-2017-0079
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41616 4428
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

https://doi.org/10.4208/nmtma.OA-2017-0094
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41032 4323
Diagonalized Chebyshev Rational Spectral Methods for Second-Order Elliptic Problems on Unbounded Domains

Yanmin Ren, Xuhong Yu & Zhongqing Wang

265-284

https://doi.org/10.4208/nmtma.OA-2018-0022
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41359 4339
Segmentation by Elastica Energy with $L$1 and $L$2 Curvatures: A Performance Comparison

Xuan He & Wei Zhu & Xue-Cheng Tai

285-311

https://doi.org/10.4208/nmtma.OA-2017-0051
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42130 4430
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

https://doi.org/10.4208/nmtma.OA-2018-0043
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44444 4818