Search Results

• 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

• 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

• Finite Difference Schemes for the Variable Coefficients Single and Multi-Term Time-Fractional Diffusion Equations with Non-Smooth Solutions on Graded and Uniform Meshes

  Mingrong Cui

  2019-04-22

  DOI:10.4208/nmtma.OA-2018-0046

  44214 2851 pp. 845-866

• An Interface-Unfitted Finite Element Method for Elliptic Interface Optimal Control Problems

  Chaochao Yang, Tao Wang, Xiaoping Xie

  2019-04-22

  DOI:10.4208/nmtma.OA-2018-0031

  44441 2758 pp. 727-749

• Strong Convergence of the Semi-Implicit Euler Method for a Kind of Stochastic Volterra Integro-Differential Equations

  Jianfang Gao, Shufang Ma, Hui Liang

  2018-12-17

  DOI:10.4208/nmtma.OA-2017-0030

  43383 2875 pp. 547-565

• Numerical Analysis of Partially Penalized Immersed Finite Element Methods for Hyperbolic Interface Problems

  Qing Yang

  2018-09-17

  DOI:10.4208/nmtma.OA-2017-0002

  41263 2889 pp. 272-298

• Difference Approximation of Stochastic Elastic Equation Driven by Infinite Dimensional Noise

  Yinghan Zhang, Xiaoyuan Yang, Ruisheng Qi

  2016-09-01

  DOI:10.4208/nmtma.2015.y14002

  38568 4164 pp. 123-146

• High Order Scheme for Schrödinger Equation with Discontinuous Potential I: Immersed Interface Method

  Hao Wu

  2011-04-01

  DOI:10.4208/nmtma.2011.m1036

  41490 3517 pp. 576-597

• Spectral Method for Three-Dimensional Nonlinear Klein-Gordon Equation by Using Generalized Laguerre and Spherical Harmonic Functions

  Xiao-Yong Zhang, Ben-Yu Guo, Yu-Jian Jiao

  2018-08-14

  38946 3974 pp. 43-64

• An Efficient Particle-Field Algorithm with Neural Interpolation Based on a Parabolic-Hyperbolic Chemotaxis System in 3D

  Jongwon David Kim, Jack Xin

  2026-04-16

  DOI:10.4208/nmtma.OA-2025-0127

  19 12

• Analysis and Efficient Implementation of Quadratic Spline Collocation ADI Methods for Variable-Order Time-Fractional Mobile-Immobile Diffusion Equations

  Jun Liu, Hongfei Fu, Bingyin Zhang, Jiansong Zhang

  2025-04-06

  DOI:10.4208/nmtma.OA-2024-0086

  7029 748 pp. 226-258

• A Stabilized Physics Informed Neural Networks Method for Wave Equations

  Yuling Jiao, Yuhui Liu, Jerry Zhijian Yang, Cheng Yuan

  2024-12-11

  DOI:10.4208/nmtma.OA-2024-0044

  11931 1439 pp. 1100-1127

• Projection Improved SPAI Preconditioner for FGMRES

  Mingguang Geng, Shuli Sun

  2023-11-07

  DOI:10.4208/nmtma.OA-2022-0202

  28375 2369 pp. 1035-1052

• Convergence Analysis of a Quasi-Monte Carlo-Based Deep Learning Algorithm for Solving Partial Differential Equations

  Fengjiang Fu, Xiaoqun Wang

  2023-08-29

  DOI:10.4208/nmtma.OA-2022-0166

  28533 2542 pp. 668-700

• A Unified Fast Memory-Saving Time-Stepping Method for Fractional Operators and Its Applications

  Yuxiang Huang, Qiaoge Li, Rongxin Li, Fanhai Zeng, Ling Guo

  2022-07-19

  DOI:10.4208/nmtma.OA-2022-0023

  42469 3228 pp. 679-714

• The Conservation and Convergence of Two Finite Difference Schemes for KdV Equations with Initial and Boundary Value Conditions

  Jinye Shen, Xuping Wang, Zhi-zhong Sun

  2020-03-06

  DOI:10.4208/nmtma.OA-2019-0038

  46119 4466 pp. 253-280

• Error Estimates and Superconvergence of a High-Accuracy Difference Scheme for a Parabolic Inverse Problem with Unknown Boundary Conditions

  Liping Zhou, Shi Shu, Haiyuan Yu

  2019-10-12

  DOI:10.4208/nmtma.OA-2018-0019

  46060 2709 pp. 1119-1140

• The Plane Wave Discontinuous Galerkin Method Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media

  Long Yuan

  2018-12-17

  DOI:10.4208/nmtma.OA-2017-0139

  41597 2795 pp. 517-546

• A Separable Preconditioner for Time-Space Fractional Caputo-Riesz Diffusion Equations

  Xuelei Lin, Michael K. Ng, Haiwei Sun

  2021-01-13

  DOI:10.4208/nmtma.2018.s09

  43258 2954 pp. 827-853

• A Uniformly Stable Nonconforming FEM Based on Weighted Interior Penalties for Darcy-Stokes-Brinkman Equations

  Peiqi Huang, Zhilin Li

  2018-08-14

  DOI:10.4208/nmtma.2017.m1610

  39890 4104 pp. 22-43

• A New Quasi-Monte Carlo Technique Based on Nonnegative Least Squares and Approximate Fekete Points

  Claudia Bittante, Stefano De Marchi, Giacomo Elefante

  2016-09-01

  DOI:10.4208/nmtma.2016.m1516

  38933 2699 pp. 640-663

• Application of the Level-Set Model with Constraints in Image Segmentation

  Vladimir Klement, Tomas Oberhuber, Daniel Sevcovic

  2016-09-01

  DOI:10.4208/nmtma.2015.m1418

  38767 4242 pp. 147-168

• Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems

  Zhengqin Yu, Xiaoping Xie

  2015-08-01

  DOI:10.4208/nmtma.2015.m1324

  38419 2671 pp. 582-604

• An Approximation of Three-Dimensional Semiconductor Devices by Mixed Finite Element Method and Characteristics-Mixed Finite Element Method

  Qing Yang, Yirang Yuan

  2015-08-01

  DOI:10.4208/nmtma.2015.my12031

  39041 2742 pp. 356-382

• A Globally and Superlinearly Convergent Primal-Dual Interior Point Method for General Constrained Optimization

  Jianling Li, Jian Lv, Jinbao Jian

  2015-08-01

  DOI:10.4208/nmtma.2015.m1338

  39278 2817 pp. 313-335

• Use of Shifted Laplacian Operators for Solving Indefinite Helmholtz Equations

  Ira Livshits

  2015-08-01

  DOI:10.4208/nmtma.2015.w03si

  41501 4013 pp. 136-148

• Density Estimation via Mixture Discrepancy and Moments

  Zhengyang Lei, Lirong Qu, Sihong Shao, Yunfeng Xiong

  2026-01-20

  DOI:10.4208/nmtma.OA-2025-0038

  426 173 pp. 240-274