Some convergence results of waveform relaxation for a class of second-order quasilinear parabolic equations
DOI10.1080/00207160.2020.1759803zbMath1480.65244OpenAlexW3024878133MaRDI QIDQ5031250
Yao-Lin Jiang, Zhen Miao, Chen-Ye Wang
Publication date: 18 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2020.1759803
convergence analysisquasilinear parabolic equationswaveform relaxationnon-divergence formdivergence form
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
Cites Work
- Unnamed Item
- Unnamed Item
- Analysis of a new parareal algorithm based on waveform relaxation method for time-periodic problems
- Waveform relaxation for reaction-diffusion equations
- The linearization principle for the stability of solutions of quasilinear parabolic equations. I
- Global solutions for quasilinear parabolic problems
- Waveform relaxation of partial differential equations
- A parareal algorithm based on waveform relaxation
- A new dispersion-relation preserving method for integrating the classical Boussinesq equation
- A windowing waveform relaxation method for time-fractional differential equations
- An improvement of convergence of a dispersion-relation preserving method for the classical Boussinesq equation
- Convergence analysis of a \textit{periodic-like} waveform relaxation method for initial-value problems via the diagonalization technique
- Optimized waveform relaxation methods for RC circuits: discrete case
- Neumann-Neumann waveform relaxation algorithm in multiple subdomains for hyperbolic problems in 1D and 2D
- Convergence conditions on waveform relaxation of general differential-algebraic equations
- Monotone Waveform Relaxation for Systems of Nonlinear Differential-Algebraic Equations
- On Error Estimates for Waveform Relaxation Methods for Delay-Differential Equations
- A Superlinear Convergence Estimate for the Parareal Schwarz Waveform Relaxation Algorithm
- On Time-Domain Simulation of Lossless Transmission Lines with Nonlinear Terminations
- Waveform Relaxation for Functional-Differential Equations
- Multigrid Waveform Relaxation of Spatial Finite Element Meshes: The Continuous-Time Case
- A new parareal waveform relaxation algorithm for time-periodic problems
- A parareal approach of semi‐linear parabolic equations based on general waveform relaxation
- Convergence of Waveform Relaxation Methods for Differential-Algebraic Systems
- Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems
- On the growth of solutions of quasi‐linear parabolic equations
This page was built for publication: Some convergence results of waveform relaxation for a class of second-order quasilinear parabolic equations
