An efficient two-grid high-order compact difference scheme with variable-step BDF2 method for the semilinear parabolic equation
ESAIM: M2AN, 58 2 (2024) 421-455
Published online: 2024-04-04
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Compact difference method for Euler-Bernoulli beams and plates with nonlinear nonlocal damping
Tao Guo, Yiqun Li and Wenlin QiuApplied Numerical Mathematics 219 1 (2026)
https://doi.org/10.1016/j.apnum.2025.08.008
A Space‐Time Fourth‐Order Compact Finite Difference Scheme for Semilinear Compressible Darcy–Brinkman Model
Xiaoyu Zhu, Qihang Sun, Huizi Yang and Wei LiuMathematical Methods in the Applied Sciences (2026)
https://doi.org/10.1002/mma.70525
An efficient space-time two-grid compact difference scheme for the two-dimensional viscous Burgers’ equation
Xiangyi Peng, Lisen Ding and Wenlin QiuApplied Numerical Mathematics 225 87 (2026)
https://doi.org/10.1016/j.apnum.2026.02.017
Unconditional optimal-order error estimates of linear relaxation compact difference scheme for the coupled nonlinear Schrödinger system
Ying Gao, Hongfei Fu and Xiaoying WangApplied Numerical Mathematics 227 108 (2026)
https://doi.org/10.1016/j.apnum.2026.04.011
A High-Order Fast Two-Grid Compact Difference Method with $$H^1$$-norm Error Estimates for Two-dimensional Nonlocal Nonlinear Wave Equation
Xiaoxuan Jiang, Jiawei Wang, Liqun Wang and Meiling ZhaoJournal of Scientific Computing 107 (2) (2026)
https://doi.org/10.1007/s10915-026-03281-0
Linearized Variable‐Time‐Step BDF3–VEM Scheme for Semilinear Parabolic Equations With Nonlinear Vanishing Delay
Qiumei Huang, Shuai Su and Gangfan ZhongNumerical Methods for Partial Differential Equations 41 (6) (2025)
https://doi.org/10.1002/num.70046
Convergence analysis of weak Galerkin finite element variable-time-step BDF2 implicit scheme for parabolic equations
Chenxing Li, Fuzheng Gao and Jintao CuiApplied Numerical Mathematics 212 333 (2025)
https://doi.org/10.1016/j.apnum.2025.02.015
A decoupled linear, mass- and energy-conserving relaxation-type high-order compact finite difference scheme for the nonlinear Schrödinger equation
Wenrong Zhou, Hongfei Fu and Shusen XieApplied Numerical Mathematics 215 59 (2025)
https://doi.org/10.1016/j.apnum.2025.04.005
Energy Dissipation Law and Maximum Bound Principle-Preserving Linear BDF2 Schemes with Variable Steps for the Allen–Cahn Equation
Bingyin Zhang, Hongfei Fu, Rihui Lan and Shusen XieJournal of Scientific Computing 105 (2) (2025)
https://doi.org/10.1007/s10915-025-03077-8
An α-robust two-grid finite element method with nonuniform L2-1 scheme for the semilinear Caputo-Hadamard time-fractional diffusion equations involving initial singularity
Yunhua Zeng and Zhijun TanApplied Mathematics and Computation 496 129355 (2025)
https://doi.org/10.1016/j.amc.2025.129355