Search Results

• New Log Basis Functions with a Scaling Factor and Their Applications

  Dong-Qin Gu, Dongya Tao, Chao Zhang

  2024-12-11

  DOI:10.4208/nmtma.OA-2024-0038

  12170 1357 pp. 1018-1040

• On Spectral Approximations by Generalized Slepian Functions

  Jing Zhang, Li-Lian Wang

  2011-04-01

  DOI:10.4208/nmtma.2011.42s.10

  38962 3653 pp. 296-318

• New Rational Interpolation Basis Functions on the Unbounded Intervals and Their Applications

  Dong-Qin Gu, Zhong-Qing Wang, Chao Zhang

  2023-04-10

  DOI:10.4208/nmtma.OA-2022-0109

  37589 2958 pp. 453-488

• Solving the Helmholtz Equation by Sparse Fundamental Solution Neural Network

  Zhiwen Wang, Minxin Chen, Jingrun Chen

  2025-10-22

  DOI:10.4208/nmtma.OA-2025-0033

  5949 511 pp. 845-880

• Superconvergence and $L^{\infty}$-Error Estimates of RT1 Mixed Methods for Semilinear Elliptic Control Problems with an Integral Constraint

  Yanping Chen, Tianliang Hou

  2012-05-01

  DOI:10.4208/nmtma.2012.m1118

  39791 3695 pp. 423-446

• Adaptive Mixed GMsFEM for Flows in Heterogeneous Media

  Ho Yuen Chan, Eric Chung, Yalchin Efendiev

  2016-09-01

  DOI:10.4208/nmtma.2016.m1603

  40372 4020 pp. 497-527 Open Access

• Well-Conditioned Spectral Collocation Methods for Problems in Unbounded Domains

  Dongqin Gu, Chao Zhang, Zhongqing Wang

  2020-03-09

  DOI:10.4208/nmtma.OA-2019-0090

  43785 2790 pp. 452-478

• Immersed Interface Finite Element Methods for Elasticity Interface Problems with Non-Homogeneous Jump Conditions

  Yan Gong, Zhilin Li

  2018-08-14

  DOI:10.4208/nmtma.2009.m9001

  40659 3956 pp. 23-39

• 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

• Finite Element Approximation of Semilinear Parabolic Optimal Control Problems

  Hongfei Fu, Hongxing Rui

  2011-04-01

  DOI:10.4208/nmtma.2011.m1020

  41809 3799 pp. 489-504

• A Collocation Method for Initial Value Problems of Second-Order ODEs by Using Laguerre Functions

  Jian-Ping Yan, Ben-Yu Guo

  2011-04-01

  DOI:10.4208/nmtma.2011.42s.9

  40207 3890 pp. 283-295

• The Partition of Unity Method for High-Order Finite Volume Schemes Using Radial Basis Functions Reconstruction

  Serena Morigi, Fiorella Sgallari

  2009-02-01

  39395 3865 pp. 153-179

• Multi-Label Markov Random Fields as an Efficient and Effective Tool for Image Segmentation, Total Variations and Regularization

  Dorit S. Hochbaum

  2013-06-01

  DOI:10.4208/nmtma.2013.mssvm09

  40631 3978 pp. 169-198

• Superoptimal Preconditioners for Functions of Matrices

  Zheng-Jian Bai, Xiao-Qing Jin, Teng-Teng Yao

  2015-08-01

  DOI:10.4208/nmtma.2015.my1340

  39683 2850 pp. 515-529

• A Robust Hybrid Spectral Method for Nonlocal Problems with Weakly Singular Kernels

  Chao Zhang, Guoqing Yao, Sheng Chen

  2023-01-21

  DOI:10.4208/nmtma.OA-2022-0006s

  36234 2969 pp. 1041-1062

• Efficient Hermite Spectral-Galerkin Methods for Nonlocal Diffusion Equations in Unbounded Domains

  Huiyuan Li, Ruiqing Liu, Li-Lian Wang

  2023-01-21

  DOI:10.4208/nmtma.OA-2022-0007s

  37256 3001 pp. 1009-1040

• High Order Hierarchical Divergence-Free Constrained Transport $H(div)$ Finite Element Method for Magnetic Induction Equation

  Wei Cai, Jun Hu, Shangyou Zhang

  2020-11-03

  DOI:10.4208/nmtma.2017.s03

  39339 2646 pp. 243-254

• A Hybrid Spectral Element Method for Fractional Two-Point Boundary Value Problems

  Changtao Sheng, Jie Shen

  2020-11-03

  DOI:10.4208/nmtma.2017.s11

  39258 2577 pp. 437-464

• Sparse Recovery via ℓ$_q$-Minimization for Polynomial Chaos Expansions

  Ling Guo, Yongle Liu, Liang Yan

  2017-11-02

  DOI:10.4208/nmtma.2017.0001

  39846 2794 pp. 775-797

• Spline R-Function and Applications in FEM

  Tianhui Yang, Ammar Qarariyah, Jiansong Deng

  2020-03-06

  DOI:10.4208/nmtma.OA-2018-0118

  42975 4395 pp. 150-175

• Sparse Deep Neural Network for Nonlinear Partial Differential Equations

  Yuesheng Xu, Taishan Zeng

  2023-01-13

  DOI:10.4208/nmtma.OA-2022-0104

  34550 3197 pp. 58-78

• Recovery Type a Posteriori Error Estimates of Fully Discrete Finite Element Methods for General Convex Parabolic Optimal Control Problems

  Yuelong Tang, Yanping Chen

  2012-05-01

  DOI:10.4208/nmtma.2012.m1117

  42246 3826 pp. 573-591

• Green Function Method for Quantum Transport Based on the Generalized Fourier Transform

  Haiyan Jiang, Xingming Gao, Yueguang Hu, Tiao Lu

  2023-08-29

  DOI:10.4208/nmtma.OA-2022-0164

  28974 2571 pp. 701-719

• A Nonlocal Total Variation Model for Image Decomposition: Illumination and Reflectance

  Wei Wang, Michael K. Ng

  2014-07-01

  DOI:10.4208/nmtma.2014.1326nm

  40907 3794 pp. 334-355

• An Unconditionally Stable Laguerre Based Finite Difference Method for Transient Diffusion and Convection-Diffusion Problems

  Wescley T. B. de Sousa, Carlos F. T. Matt

  2019-04-22

  DOI:10.4208/nmtma.OA-2018-0026

  44555 2796 pp. 681-708

• On the Criteria for Online Updating of Basis Functions for Model Order Reduction Techniques

  Han Zhang, Zhiyong Wang, Zihao Mou, Taidong Niu, Helin Gong

  2025-09-01

  DOI:10.4208/nmtma.OA-2024-0127

  5259 435 pp. 619-649

• Error Analysis for Empirical Risk Minimization over Clipped ReLU Networks in Solving Linear Kolmogorov Partial Differential Equations

  Jichang Xiao, Xiaoqun Wang

  2024-12-11

  DOI:10.4208/nmtma.OA-2024-0026

  12055 1377 pp. 996-1017