A Time-Stepping Algorithm for Parallel Computers

DOI10.1137/0911049zbMath0705.65070OpenAlexW2026064960MaRDI QIDQ3485820

David E. Womble

Publication date: 1990

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc1410995/

zbMATH Keywords

convergencenonlinear parabolic equationparallel computationiterative methodmethod of linesmultigrid methodtime-stepping methods

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Second-order nonlinear hyperbolic equations (35L70) Parallel numerical computation (65Y05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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A RIGOROUS ANALYSIS OF TIME DOMAIN PARALLELISM∗ ⋮ A parallel inverted dual time stepping method for unsteady incompressible fluid flow and heat transfer problems ⋮ Time-Parallel Iterative Solvers for Parabolic Evolution Equations ⋮ Fully reliable error control for first-order evolutionary problems ⋮ Numerical experiments with nonlinear multigrid waveform relaxation on a parallel processor ⋮ IPIC domain decomposition algorithm for parabolic problems ⋮ ADI method -- domain decomposition ⋮ A parallel nearly implicit time-stepping scheme ⋮ Parallelization in time of numerical simulations of fully-developed plasma turbulence using the parareal algorithm ⋮ 50 Years of Time Parallel Time Integration ⋮ Data-Driven Time Parallelism via Forecasting

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