Search Results

• Fourth-Order Splitting Methods for Time-Dependant Differential Equations

  Jürgen Geiser

  2008-01-01

  39264 3573 pp. 321-339

• A Few Benchmark Test Cases for Higher-Order Euler Solvers

  Liang Pan, Jiequan Li, Kun Xu

  2017-11-02

  DOI:10.4208/nmtma.2017.0018

  41457 4371 pp. 711-736 Open Access

• 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

• 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

• A Linearized Second-Order Difference Scheme for the Nonlinear Time-Fractional Fourth-Order Reaction-Diffusion Equation

  Hong Sun, Zhi-zhong Sun, Rui Du

  2019-10-12

  DOI:10.4208/nmtma.OA-2017-0144

  48829 2747 pp. 1168-1190

• Order Reduced Schemes for the Fourth Order Eigenvalue Problems on Multi-Connected Planar Domains

  Yingxia Xi, Xia Ji, Shuo Zhang

  2021-09-10

  DOI:10.4208/nmtma.OA-2021-0046

  46274 2774 pp. 920-944

• Numerical Algorithm with Fourth-Order Spatial Accuracy for Solving the Time-Fractional Dual-Phase-Lagging Nanoscale Heat Conduction Equation

  Cui-Cui Ji, Weizhong Dai

  2023-04-10

  DOI:10.4208/nmtma.OA-2022-0050

  40775 9016503 pp. 511-540

• 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

• High Order Energy-Preserving Method of the "Good" Boussinesq Equation

  Chaolong Jiang, Jianqiang Sun, Xunfeng He, Lanlan Zhou

  2016-09-01

  DOI:10.4208/nmtma.2015.m1420

  39729 4354 pp. 111-122

• A Consistent Fourth-Order Compact Finite Difference Scheme for Solving Vorticity-Stream Function Form of Incompressible Navier-Stokes Equations

  Tao Wang, Tiegang Liu

  2018-09-18

  DOI:10.4208/nmtma.OA-2018-0043

  44687 4985 pp. 312-330

• Best Rank-One Approximation of Fourth-Order Partially Symmetric Tensors by Neural Network

  Xuezhong Wang, Maolin Che, Yimin Wei

  2021-01-13

  DOI:10.4208/nmtma.2018.s01

  43534 3025 pp. 673-700

• An Efficient Cartesian Grid-Based Method for Scattering Problems with Inhomogeneous Media

  Haixia Dong, Wenjun Ying, Jiwei Zhang

  2023-04-10

  DOI:10.4208/nmtma.OA-2022-0159

  36408 2655 pp. 541-564

• Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints

  Yue Shen, Chang Jin

  2020-03-09

  DOI:10.4208/nmtma.OA-2019-0016

  44978 2820 pp. 400-432

• A Fourth-Order Modified Method for the Cauchy Problem of the Modified Helmholtz Equation

  R. Shi, T. Wei, H. H. Qin

  2009-02-01

  DOI:10.4208/nmtma.2009.m88032

  40693 3576 pp. 326-340

• Efficient Chebyshev Spectral Method for Solving Linear Elliptic PDEs Using Quasi-Inverse Technique

  Fei Liu, Xingde Ye, Xinghua Wang

  2011-04-01

  DOI:10.4208/nmtma.2011.42s.5

  40309 3838 pp. 197-215

• A Fast Compact Block-Centered Finite Difference Method on Graded Meshes for Time-Fractional Reaction-Diffusion Equations and Its Robust Analysis

  Li Ma, Hongfei Fu, Bingyin Zhang, Shusen Xie

  2024-05-11

  DOI:10.4208/nmtma.OA-2023-0108

  21593 1691 pp. 429-462

• 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

• A Compound Algorithm of Denoising Using Second-Order and Fourth-Order Partial Differential Equations

  Qianshun Chang, Xuecheng Tai, Lily Xing

  2009-02-01

  DOI:10.4208/nmtma.2009.m9001s

  41576 3881 pp. 353-376

• Quadrature Based Optimal Iterative Methods with Applications in High-Precision Computing

  Sanjay Kumar Khattri

  2012-05-01

  DOI:10.4208/nmtma.2012.m1114

  41794 3571 pp. 592-601

• Mixed Finite Element Methods for Fourth Order Elliptic Optimal Control Problems

  K. Manickam, P. Prakash

  2016-09-01

  DOI:10.4208/nmtma.2016.m1405

  39984 2883 pp. 528-548

• A Fourth Order Compact Scheme for Transport Equation with Discontinuous Coefficients

  Suruchi Singh, Kazufumi Ito, Swarn Singh, Zhilin Li

  2021-01-13

  DOI:10.4208/nmtma.2018.s06

  42300 2863 pp. 782-794

• Effect of Space Dimensions on Equilibrium Solutions of Cahn-Hilliard and Conservative Allen-Cahn Equations

  Hyun Geun Lee, Junxiang Yang, Junseok Kim, Jintae Park

  2020-03-16

  DOI:10.4208/nmtma.OA-2019-0159

  45672 2890 pp. 644-664

• Finite-Difference Methods for a Class of Strongly Nonlinear Singular Perturbation Problems

  Relja Vulanović

  2008-01-01

  38169 3588 pp. 235-244

• Numerical Analysis of a Second Order Crank-Nicolson Mixed Finite Element Method for the Swift-Hohenberg Equation

  Hongling Li, Manting Xie, Meiling Yue

  2025-10-22

  DOI:10.4208/nmtma.OA-2025-0007

  5584 361 pp. 947-971

• The Method of Fundamental Solutions for Optical Fluorescence Tomography

  Andreas Karageorghis, Daniel Lesnic

  2026-01-14

  DOI:10.4208/nmtma.OA-2025-0101

  450 177 pp. 219-239

• A Primal-Dual Hybrid Gradient Algorithm to Solve the LLT Model for Image Denoising

  Chunxiao Liu, Dexing Kong, Shengfeng Zhu

  2018-08-14

  DOI:10.4208/nmtma.2012.m1047

  39129 3639 pp. 260-277

• Nodal Discontinuous Galerkin Method for Time-Domain Lorentz Model Equations in Meta-Materials

  Shanghui Jia, Changhui Yao, Shuai Su

  2018-09-17

  DOI:10.4208/nmtma.2018.m1607

  43114 4920 pp. 30-48