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• Rothe Method and Numerical Analysis for a Sub-Diffusion Equation with Clarke Subdifferential

  Yujie Li, Chuanju Xu

  2025-06-18

  571 53 Pages:670–699

• A Decoupled, Linearly Implicit and Unconditionally Energy Stable Scheme for the Coupled Cahn-Hilliard Systems

  Dan Zhao, Dongfang Li, Yanbin Tang, Jinming Wen

  2024-11-21

  16352 1573 Pages:708-730

• Modified Alternating Positive Semidefinite Splitting Preconditioner for Time-Harmonic Eddy Current Models

  Yifen Ke, Changfeng Ma

  2021-10-15

  40118 3068 Pages:733-754

• Mixed Finite Element Methods for Fractional Navier-Stokes Equations

  Xiaocui Li, Xu You

  2021-06-10

  42488 4417 Pages:130-146

• An Efficient ADER Discontinuous Galerkin Scheme for Directly Solving Hamilton-Jacobi Equation

  Junming Duan, Huazhong Tang

  2020-02-06

  41285 4434 Pages:58-83

• A First-Order Numerical Scheme for Forward-Backward Stochastic Differential Equations in Bounded Domains

  Jie Yang, Guannan Zhang, Weidong Zhao

  2019-02-12

  39627 2951 Pages:237-258

• The Coupling of Natural Boundary Element and Finite Element Method for 2D Hyperbolic Equations

  De-Hao Yu, Qi-Kui Du

  2021-08-05

  32980 3396 Pages:585-594

• A Fully Discrete Implicit-Explicit Finite Element Method for Solving the FitzHugh-Nagumo Model

  Li Cai, Ye Sun, Feifei Jing, Yiqiang Li, Xiaoqin Shen, Yufeng Nie

  2020-03-24

  41263 2966 Pages:469-486

• Variational Discretization of a Control-Constrained Parabolic Bang-Bang Optimal Control Problem

  Nikolaus von Daniels, Michael Hinze

  2020-02-06

  41818 4468 Pages:14-40

• Error Estimates of Finite Element Methods for Stochastic Fractional Differential Equations

  Xiaocui Li, Xiaoyuan Yang

  2018-08-22

  36463 2838 Pages:346-362

• Second-Order Numerical Schemes for Decoupled Forward-Backward Stochastic Differential Equations with Jumps

  Weidong Zhao, Wei Zhang, Guannan Zhang

  2018-08-22

  36234 2901 Pages:213-244

• Stability Analysis for Maximum Principle Preserving Explicit Isotropic Schemes of the Allen-Cahn Equation

  Jyoti, Seokjun Ham, Soobin Kwak, Youngjin Hwang, Seungyoon Kang, Junseok Kim

  2025-06-06

  636 51 Pages:700–721

• Stability and Error Estimates of Ultra-Weak Local Discontinuous Galerkin Method with Spectral Deferred Correction Time-Marching for PDEs with High Order Spatial Derivatives

  Lingling Zhou, Wenhua Chen, Ruihan Guo

  2026-02-15

  2558 254 Pages:286-306

• Simplified Explicit Exponential Runge-Kutta Methods Without Order Reduction

  Begoña Cano, María Jesús Moreta

  2025-10-30

  4513 304 Pages:1604-1620

• A Multiple-Invariants Preserving Scheme for Modified Two-Component Euler-Poincaré Equations

  Boya Zhou, Ruimin Gao, Qifeng Zhang

  2026-03-02

  95 66

• Stable Boundary Conditions and Discretization for $P_N$ Equations

  Jonas Bünger, Neeraj Sarna, Manuel Torrilhon

  2022-11-08

  302287 3481 Pages:977-1003

• Constraint-Preserving Energy-Stable Scheme for the 2D Simplified Ericksen-Leslie System

  Xuelian Bao, Rui Chen, Hui Zhang

  2021-06-10

  43747 4541 Pages:1-21

• A Note on Pressure Approximation of First and Higher Order Projection Schemes for the Nonstationary Incompressible Navier-Stokes Equations

  Erich Carelli, Andreas Prohl

  2018-08-07

  33155 3610 Pages:338-347

• Incremental Unknowns for the Heat Equation with Time-Dependent Coefficients: Semi-Implicit $\theta$-Schemes and Their Stability

  Yu-Jiang Wu & Ai-Li Yang

  2007-10-02

  272 133 Pages:573-582

• On an Unconditionally Stable Scheme for the Unsteady Navier-Stokes Equations

  Jie Shen

  1990-08-01

  32587 3571 Pages:276-288

• Error Estimates of a Class of Serendipity Virtual Element Methods for Semilinear Parabolic Integro-Differential Equations on Curved Domains

  Yang Xu, Zhenguo Zhou, Jingjun Zhao

  2026-04-15

  3187 161 Pages:479-520

• Weak Approximations of Stochastic Partial Differential Equations with Fractional Noise

  Meng Cai, Siqing Gan, Xiaojie Wang

  2024-04-08

  19260 1928 Pages:735-754

• Strong Convergence of Jump-Adapted Implicit Milstein Method for a Class of Nonlinear Jump-Diffusion Problems

  Xu Yang, Weidong Zhao

  2023-12-01

  28494 2809 Pages:248-270

• A Second Order Unconditionally Convergent Finite Element Method for the Thermal Equation with Joule Heating Problem

  Xiaonian Long, Qianqian Ding

  2022-10-06

  45166 3166 Pages:354-372

• A Finite Element Algorithm for Nematic Liquid Crystal Flow Based on the Gauge-Uzawa Method

  Pengzhan Huang, Yinnian He, Ting Li

  2021-11-19

  43135 4060 Pages:26-43

• A Fast Compact Difference Method for Two-Dimensional Nonlinear Space-Fractional Complex Ginzburg-Landau Equations

  Lu Zhang, Qifeng Zhang, Hai-Wei Sun

  2021-10-15

  41627 3007 Pages:708-732

• Implicit-Explicit Scheme for the Allen-Cahn Equation Preserves the Maximum Principle

  Tao Tang, Jiang Yang

  2018-08-22

  42868 3072 Pages:451-461