Waveform relaxation of partial differential equations

DOI10.1007/s11075-018-0475-5zbMath1433.65159OpenAlexW2787480501MaRDI QIDQ1625758

Zhen Miao, Yao-Lin Jiang

Publication date: 29 November 2018

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-018-0475-5

zbMATH Keywords

energy methodparallel computingcoupled equationswaveform relaxationsemi-linear reaction diffusion

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Parallel numerical computation (65Y05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (3)

Some convergence results of waveform relaxation for a class of second-order quasilinear parabolic equations ⋮ Waveform Relaxation Methods for Lie-Group Equations ⋮ Analysis of a new accelerated waveform relaxation method based on the time-parallel algorithm

Uses Software

• RODAS

Cites Work

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• On Time-Domain Simulation of Lossless Transmission Lines with Nonlinear Terminations
• Waveform Relaxation for Functional-Differential Equations
• A note on convergence conditions of waveform relaxation algorithms for nonlinear differential-algebraic equations

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