Search Results

• Two Globally Convergent Hybrid CG Methods with Adaptive Restart Strategy for Riemannian Optimization

  Yun Wang, Meixuan Jiang, Hu Shao, Xiaoquan Wang, Ting Wu

  2025-10-22

  DOI:10.4208/nmtma.OA-2024-0030

  5590 349 pp. 1100-1124

• Sequential Subspace Clustering via Joint Capped $ℓ_2$ and $ℓ_{2,p}$ Norm Minimization with Convergence Guarantee

  Zhihui Tu, Jian Lu, Wenyu Hu, Shan Liu

  2026-04-05

  DOI:10.4208/nmtma.OA-2025-0081

  57 63

• A Proximal-Perturbed Bregman ADMM for Solving Nonsmooth and Nonconvex Composite Optimization

  Jianchao Bai, Xu Cui, Zhie Wu

  2026-02-23

  DOI:10.4208/nmtma.OA-2025-0066

  182 124

• A Modularized Algorithmic Framework for Interface Related Optimization Problems Using Characteristic Functions

  Dong Wang, Shangzhi Zeng, Jin Zhang, Ning Zhang

  2025-05-16

  DOI:10.4208/nmtma.OA-2024-0082

  7549 602 pp. 437-462

• A Second Order Accurate in Time, Energy Stable Finite Element Scheme for a Liquid Thin Film Coarsening Model

  Maoqin Yuan, Lixiu Dong, Juan Zhang

  2025-04-06

  DOI:10.4208/nmtma.OA-2024-0081

  7082 769 pp. 127-156

• A BDF2-SSAV Numerical Scheme with Fourier-Spectral Method for a Droplet Thin Film Coarsening Model

  Juan Zhang, Lixiu Dong, Zhengru Zhang

  2024-08-30

  DOI:10.4208/nmtma.OA-2024-0016

  17593 1437 pp. 777-804

• A Stabilizer Free Weak Galerkin Finite Element Method for Elliptic Equation with Lower Regularity

  Yiying Wang, Yongkui Zou, Xuan Liu, Chenguang Zhou

  2024-05-11

  DOI:10.4208/nmtma.OA-2023-0163

  21245 1781 pp. 514-533

• Penalized Schemes for Hamilton-Jacobi-Bellman Quasi-Variational Inequalities Arising in Regime Switching Utility Maximization with Optimal Stopping

  Jingtang Ma, Jianjun Ma, Haofei Wu

  2024-05-11

  DOI:10.4208/nmtma.OA-2023-0094

  21404 1774 pp. 404-428

• On Polar Decomposition of Tensors with Einstein Product and a Novel Iterative Parametric Method

  Raziyeh Erfanifar, Masoud Hajarian, Khosro Sayevand

  2024-02-26

  DOI:10.4208/nmtma.OA-2023-0065

  27041 2681 pp. 69-92

• A New Fixed-Time Dynamical System for Absolute Value Equations

  Xuehua Li, Dongmei Yu, Yinong Yang, Deren Han, Cairong Chen

  2023-08-29

  DOI:10.4208/nmtma.OA-2022-0148

  29598 2612 pp. 622-633

• Linearized Transformed $L1$ Galerkin FEMs with Unconditional Convergence for Nonlinear Time Fractional Schrödinger Equations

  Wanqiu Yuan, Dongfang Li, Chengjian Zhang

  2023-04-10

  DOI:10.4208/nmtma.OA-2022-0087

  39611 3016 pp. 348-369

• An Adaptive Physics-Informed Neural Network with Two-Stage Learning Strategy to Solve Partial Differential Equations

  Shuyan Shi, Ding Liu, Ruirui Ji, Yuchao Han

  2023-04-10

  DOI:10.4208/nmtma.OA-2022-0063

  40305 3188 pp. 298-322

• A Survey of the L1 Scheme in the Discretisation of Time-Fractional Problems

  Martin Stynes

  2023-01-21

  DOI:10.4208/nmtma.OA-2022-0009s

  40257 3084 pp. 1173-1192

• Efficient and Accurate Numerical Methods Using the Accelerated Spectral Deferred Correction for Solving Fractional Differential Equations

  Xuejuan Chen, Zhiping Mao, George Em Karniadakis

  2023-01-21

  DOI:10.4208/nmtma.OA-2022-0012s

  37670 3014 pp. 876-902

• Finite Difference Method for Inhomogeneous Fractional Dirichlet Problem

  Jing Sun, Weihua Deng, Daxin Nie

  2022-07-19

  DOI:10.4208/nmtma.OA-2021-0173

  39805 3028 pp. 744-767

• Two-Step Two-Sweep Modulus-Based Matrix Splitting Iteration Method for Linear Complementarity Problems

  Maryam Bashirizadeh, Masoud Hajarian

  2022-07-19

  DOI:10.4208/nmtma.OA-2021-0131

  40332 3171 pp. 592-619

• An Efficient Mapped WENO Scheme Using Approximate Constant Mapping

  Ruo Li, Wei Zhong

  2022-02-09

  DOI:10.4208/nmtma.OA-2021-0074

  45062 3801 pp. 1-41

• Accelerated Non-Overlapping Domain Decomposition Method for Total Variation Minimization

  Xue Li, Zhenwei Zhang, Huibin Chang, Yuping Duan

  2021-09-10

  DOI:10.4208/nmtma.OA-2020-0146

  47105 2698 pp. 1017-1041

• Generalized Rough Polyharmonic Splines for Multiscale PDEs with Rough Coefficients

  Xinliang Liu, Lei Zhang, Shengxin Zhu

  2021-09-10

  DOI:10.4208/nmtma.OA-2021-0100

  48030 2785 pp. 862-892

• A Linearized Spectral-Galerkin Method for Three-Dimensional Riesz-Like Space Fractional Nonlinear Coupled Reaction-Diffusion Equations

  Shimin Guo, Wenjing Yan, Liquan Mei, Ying Wang, Lingling Wang

  2021-06-02

  DOI:10.4208/nmtma.OA-2020-0093

  47880 2896 pp. 738-772

• A Parameterized Class of Complex Nonsymmetric Algebraic Riccati Equations

  Liqiang Dong, Jicheng Li, Xuenian Liu

  2021-06-02

  DOI:10.4208/nmtma.OA-2019-0140

  47744 2869 pp. 650-691

• A Linear Hybridization of Dai-Yuan and Hestenes-Stiefel Conjugate Gradient Method for Unconstrained Optimization

  Sindhu Narayanan, P. Kaelo

  2021-01-26

  DOI:10.4208/nmtma.OA-2020-0056

  45903 2637 pp. 527-539

• Quasi-Monte Carlo Sampling for Solving Partial Differential Equations by Deep Neural Networks

  Jingrun Chen, Rui Du, Panchi Li, Liyao Lyu

  2021-01-26

  DOI:10.4208/nmtma.OA-2020-0062

  46504 2785 pp. 377-404

• Mean-Square Approximation of Navier-Stokes Equations with Additive Noise in Vorticity-Velocity Formulation

  G.N. Milstein, M.V. Tretyakov

  2020-10-09

  DOI:10.4208/nmtma.OA-2020-0034

  49044 3929 pp. 1-30

• Energy Identities and Stability Analysis of the Yee Scheme for 3D Maxwell Equations

  Liping Gao, Xiaorui Sang, Rengang Shi

  2020-03-16

  DOI:10.4208/nmtma.OA-2019-0121

  46082 2999 pp. 788-813

• PPIFE Method with Non-Homogeneous Flux Jump Conditions and Its Efficient Numerical Solver for Elliptic Optimal Control Problems with Interfaces

  Quanxiang Wang, Zhiyue Zhang, Enlai Zheng

  2020-03-16

  DOI:10.4208/nmtma.OA-2019-0088

  44938 2879 pp. 719-744

• An Adaptive Nonmonotone Projected Barzilai-Borwein Gradient Method with Active Set Prediction for Nonnegative Matrix Factorization

  Jicheng Li, Wenbo Li, Xuenian Liu

  2020-03-09

  DOI:10.4208/nmtma.OA-2019-0028

  43540 2723 pp. 516-538