Search Results

• A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation

  Kelong Cheng, Cheng Wang, Steven M. Wise, Yanmei Wu

  2022-03-23

  DOI:10.4208/nmtma.OA-2021-0165

  55831 3409 pp. 279-303

• Fast Second-Order Evaluation for Variable-Order Caputo Fractional Derivative with Applications to Fractional Sub-Diffusion Equations

  Jia-Li Zhang, Zhi-Wei Fang, Hai-Wei Sun

  2022-02-09

  DOI:10.4208/nmtma.OA-2021-0148

  44567 3625 pp. 200-226

• An Efficient Variational Model for Multiplicative Noise Removal

  Min Liu, Xiliang Lu

  2022-02-09

  DOI:10.4208/nmtma.OA-2021-0065

  44351 4443 pp. 125-140

• 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

• A Sequential Least Squares Method for Elliptic Equations in Non-Divergence Form

  Ruo Li, Fanyi Yang

  2021-09-10

  DOI:10.4208/nmtma.OA-2021-0042

  46407 2607 pp. 1042-1067

• Tensor Bi-CR Methods for Solutions of High Order Tensor Equation Accompanied by Einstein Product

  Masoud Hajarian

  2021-09-10

  DOI:10.4208/nmtma.OA-2021-0057

  46772 2641 pp. 998-1016

• A Hybrid WENO Method with Modified Ghost Fluid Method for Compressible Two-Medium Flow Problems

  Zhuang Zhao, Yibing Chen, Jianxian Qiu

  2021-09-10

  DOI:10.4208/nmtma.OA-2020-0190

  47469 2748 pp. 972-997

• A High-Order Piecewise Quartic Spline Rule for Hadamard Integral and Its Application of the Cavity Scattering

  Meiling Zhao, Wenjie He, Gendai Gu

  2021-06-02

  DOI:10.4208/nmtma.2020-0163

  46376 2667 pp. 811-838

• Explicit Hybrid Numerical Method for the Allen-Cahn Type Equations on Curved Surfaces

  Yongho Choi, Yibao Li, Chaeyoung Lee, Hyundong Kim, Junseok Kim

  2021-06-02

  DOI:10.4208/nmtma.OA-2020-0155

  47440 2811 pp. 797-810

• Generating Layer-Adapted Meshes Using Mesh Partial Differential Equations

  Róisín Hill, Niall Madden

  2021-06-02

  DOI:10.4208/nmtma.OA-2020-0187

  61270 3275 pp. 559-588

• Phase-Field Modeling and Numerical Simulation for Ice Melting

  Jian Wang, Chaeyoung Lee, Hyun Geun Lee, Qimeng Zhang, Junxiang Yang, Sungha Yoon, Jintae Park, Junseok Kim

  2021-01-26

  DOI:10.4208/nmtma.OA-2020-0023

  46558 2709 pp. 540-558

• A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates

  R.K. Mohanty, Li Yuan, Divya Sharma

  2021-01-26

  DOI:10.4208/nmtma.OA-2020-0053

  45402 2669 pp. 488-507

• 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

• A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions

  Dongfang Li, Weiwei Sun, Chengda Wu

  2021-01-26

  DOI:10.4208/nmtma.OA-2020-0129

  48564 2912 pp. 355-376

• Regularized DPSS Preconditioners for Singular Saddle Point Problems

  Yong Qian, Guofeng Zhang, Zhaozheng Liang

  2020-12-02

  DOI:10.4208/nmtma.OA-2019-0123

  48578 2954 pp. 986-1006

• Newton Linearized Methods for Semilinear Parabolic Equations

  Boya Zhou, Dongfang Li

  2020-12-02

  DOI:10.4208/nmtma.OA-2019-0139

  49317 3096 pp. 928-945

• A QMC-Deep Learning Method for Diffusivity Estimation in Random Domains

  Liyao Lyu, Zhiwen Zhang, Jingrun Chen

  2020-12-02

  DOI:10.4208/nmtma.OA-2020-0032

  52925 3012 pp. 908-927

• A Continuous-Stage Modified Leap-Frog Scheme for High-Dimensional Semi-Linear Hamiltonian Wave Equations

  Bin Wang, Xinyuan Wu, Yonglei Fang

  2020-03-16

  DOI:10.4208/nmtma.OA-2019-0115

  44289 2736 pp. 814-844

• 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

• Multidomain Legendre-Galerkin Least-Squares Method for Linear Differential Equations with Variable Coefficients

  Yonghui Qin, Yanping Chen, Yunqing Huang, Heping Ma

  2020-03-16

  DOI:10.4208/nmtma.OA-2019-0015

  44081 2932 pp. 665-688

• A Simple Semi-Implicit Scheme for Partial Differential Equations with Obstacle Constraints

  Hao Liu, Shingyu Leung

  2020-03-16

  DOI:10.4208/nmtma.OA-2019-0126

  44040 2977 pp. 620-643

• A High-Order Kernel-Free Boundary Integral Method for Incompressible Flow Equations in Two Space Dimensions

  Yaning Xie, Wenjun Ying

  2020-03-16

  DOI:10.4208/nmtma.OA-2019-0175

  44329 2993 pp. 595-619

• A Multiple Scalar Auxiliary Variables Approach to the Energy Stable Scheme of the Moving Contact Line Problem

  Fengdai Kang, Zhen Zhang

  2020-03-09

  DOI:10.4208/nmtma.OA-2019-0154

  43014 2696 pp. 539-568

• 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

• High-Order Methods for Exotic Options and Greeks Under Regime-Switching Jump-Diffusion Models

  Jingtang Ma, Han Wang, Zhiqiang Zhou, Zhijun Tan

  2020-03-09

  DOI:10.4208/nmtma.OA-2019-0119

  44521 2803 pp. 497-515

• 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

• A Fast Symmetric Alternating Direction Method of Multipliers

  Gang Luo, Qingzhi Yang

  2020-03-06

  DOI:10.4208/nmtma.OA-2018-0108

  44713 4380 pp. 200-219