A Simple Proposal for Parallel Computation Over Time of an Evolutionary Process with Implicit Time Stepping

DOI10.1007/978-3-319-39929-4_28zbMath1352.65360OpenAlexW944436431MaRDI QIDQ3179672

Eleanor McDonald, Andrew J. Wathen

Publication date: 19 December 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-39929-4_28

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05)

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Uses Software

• IFISS
• PARAEXP
• HSL_MI20

Cites Work

• Toward an efficient parallel in time method for partial differential equations
• A multigrid preconditioner for stabilised discretisations of advection-diffusion problems
• Résolution d'EDP par un schéma en temps «pararéel »
• 50 Years of Time Parallel Time Integration
• Finite Elements and Fast Iterative Solvers
• Algorithm 866
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• A Space-Time Multigrid Method for Parabolic Partial Differential Equations
• PARAEXP: A Parallel Integrator for Linear Initial-Value Problems