Search Results

• Analysis of Two Any Order Spectral Volume Methods for 1-D Linear Hyperbolic Equations with Degenerate Variable Coefficients

  Minqiang Xu, Yanting Yuan, Waixiang Cao, Qingsong Zou

  2024-11-13

  DOI:10.4208/jcm.2305-m2021-0330

  11860 1264 pp. 1627-1655

• Modified Split-Step Theta Method for Stochastic Differential Equations Driven by Fractional Brownian Motion

  Jingjun Zhao, Hao Zhou, Yang Xu

  2024-07-18

  DOI:10.4208/jcm.2301-m2022-0088

  24938 1799 pp. 1226-1245

• A Direct Discontinuous Galerkin Method for Time Fractional Diffusion Equations with Fractional Dynamic Boundary Conditions

  Jingjun Zhao, Wenjiao Zhao, Yang Xu

  2023-12-01

  DOI:10.4208/jcm.2203-m2021-0233

  29791 2656 pp. 156-177

• Analysis of the Implicit-Explicit Ultra-Weak Discontinuous Galerkin Method for Convection-Diffusion Problems

  Haijin Wang, Anping Xu, Qi Tao

  2023-12-01

  DOI:10.4208/jcm.2202-m2021-0290

  29402 3060 pp. 1-23

• Second Order Unconditionally Stable and Convergent Linearized Scheme for a Fluid-Fluid Interaction Model

  Wei Li, Pengzhan Huang, Yinnian He

  2022-12-01

  DOI:10.4208/jcm.2104-m2020-0265

  295925 3599 pp. 72-93

• A Two-Grid Finite Element Approximation for Nonlinear Time Fractional Two-Term Mixed Sub-Diffusion and Diffusion Wave Equations

  Yanping Chen, Qiling Gu, Qingfeng Li, Yunqing Huang

  2022-11-08

  DOI:10.4208/jcm.2104-m2021-0332

  302610 3849 pp. 936-954

• Strong Convergence of a Fully Discrete Finite Element Method for a Class of Semilinear Stochastic Partial Differential Equations with Multiplicative Noise

  Xiaobing Feng, Yukun Li, Yi Zhang

  2021-07-05

  DOI:10.4208/jcm.2003-m2019-0250

  40351 2900 pp. 574-598

• Boundary Value Methods for Caputo Fractional Differential Equations

  Yongtao Zhou, Chengjian Zhang, Huiru Wang

  2021-06-10

  DOI:10.4208/jcm.1907-m2018-0252

  43281 4781 pp. 108-129

• Error Analysis of a Stabilized Finite Element Method for the Generalized Stokes Problem

  Huoyuan Duan, Roger C.E. Tan

  2020-02-20

  DOI:10.4208/jcm.1805-m2017-0192

  43237 3082 pp. 254-290

• A New Boundary Condition for Rate-Type Non-Newtonian Diffusive Models and the Stable MAC Scheme

  Kun Li, Youngju Lee, Christina Starkey

  2018-09-17

  DOI:10.4208/jcm.1703-m2015-0359

  39736 2911 pp. 605-626

• Stability and Convergence Analysis of Second-Order Schemes for a Diffuse Interface Model with Peng-Robinson Equation of State

  Qiujin Peng, Zhonghua Qiao, Shuyu Sun

  2021-07-01

  DOI:10.4208/jcm.1611-m2016-0623

  36654 3778 pp. 737-765

• A Second-Order Convex Splitting Scheme for a Cahn-Hilliard Equation with Variable Interfacial Parameters

  Xiao Li, Zhonghua Qiao, Hui Zhang

  2021-07-01

  DOI:10.4208/jcm.1611-m2016-0517

  37829 4030 pp. 693-710

• Detection of Electromagnetic Inclusions Using Topological Sensitvity

  Abdul Wahab, Tasawar Abbas, Naveed Ahmed, Qazi Muhammad Zaigham Zia

  2018-08-22

  DOI:10.4208/jcm.1609-m2016-0498

  38325 2935 pp. 642-671

• An Efficient Numerical Method for Fractional Differential Equations with Two Caputo Derivatives

  Shuiping Yang, Aiguo Xiao

  2018-08-22

  DOI:10.4208/jcm.1510-m2014-0050

  36572 2913 pp. 113-134

• Directional Do-Nothing Condition for the Navier-Stokes Equations

  Malte Braack, Piotr Boguslaw Mucha

  2018-08-22

  DOI:10.4208/jcm.1405-m4347

  44166 4900 pp. 507-521

• Efficient Numerical Algorithms for Three-Dimensional Fractional Partial Differential Equations

  Weihua Deng, Minghua Chen

  2018-08-22

  DOI:10.4208/jcm.1401-m3893

  37568 3572 pp. 371-391

• Compact Difference Schemes for the Diffusion and Schrödinger Equations Approximation, Stability, Convergence, Effectiveness, Monotony

  Vladimir A. Gordin, Eugeny A. Tsymbalov

  2018-08-22

  DOI:10.4208/jcm.1403-CR14

  36702 3580 pp. 348-370

• The Integration of Stiff Systems of ODEs Using NDFs and MEBDFs

  Elisabete Alberdi Celaya, Juan Jose Anza

  2018-08-22

  DOI:10.4208/jcm.1212-m3987

  36319 3893 pp. 175-189

• Operator Splitting Schemes for the Non-Stationary Thermal Convection Problems

  Hongen Jia, Kaitai Li, Haiyan Sun

  2018-08-22

  DOI:10.4208/jcm.1103-m3261

  33873 3681 pp. 474-490

• Effects of Integrations and Adaptivity for the Eulerian-Lagrangian Method

  Jiwei Jia, Xiaozhe Hu, Jinchao Xu, Chen-Song Zhang

  2018-08-22

  DOI:10.4208/jcm.1012-m3397

  34008 3540 pp. 367-395

• Error Estimates of the Finite Element Method with Weighted Basis Functions for a Singularly Perturbed Convection-Diffusion Equation

  Xianggui Li, Xijun Yu, Guangnan Chen

  2018-08-22

  DOI:10.4208/jcm.1009-m3113

  33739 3819 pp. 227-242

• Dissipative Numerical Methods for the Hunter-Saxton Equation

  Yan Xu, Chi-Wang Shu

  2019-04-10

  DOI:10.4208/jcm.1003-m0003

  36968 3403 pp. 606-620

• Equivalence of Semi-Lagrangian and Lagrange-Galerkin Schemes Under Constant Advection Speed

  Roberto Ferretti

  2018-08-22

  DOI:10.4208/jcm.1003-m0012

  34008 3785 pp. 461-473

• Chebyshev Methods with Discrete Noise: The $\tau$-ROCK Methods

  Assyr Abdulle, Yucheng Hu, Tiejun Li

  2018-08-22

  DOI:10.4208/jcm.2009.10-m1004

  37355 3552 pp. 195-217

• On the $P_1$ Powell-Sabin Divergence-Free Finite Element for the Stokes Equations

  Shangyou Zhang

  2018-08-07

  32292 3760 pp. 456-470

• On Maxwell Equations with the Transparent Boundary Condition

  Zhiming Chen, Jean-Claude Nédélec

  2018-08-07

  33310 3588 pp. 284-296

• Error Analysis for a Fast Numerical Method to a Boundary Integral Equation of the First Kind

  Jingtang Ma, Tao Tang

  2018-08-15

  32889 3984 pp. 56-68