Coupling methods for heat transfer and heat flow: operator splitting and the parareal algorithm
DOI10.1016/j.jmaa.2011.10.030zbMath1236.65131OpenAlexW1988580085MaRDI QIDQ663637
Publication date: 27 February 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.10.030
convergencenumerical examplesheat transferparallel computationoperator splittingheat fluxwaveform relaxationparareal algorithmsoftware systemiterative operator splitting
Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Parallel numerical computation (65Y05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Packaged methods for numerical algorithms (65Y15)
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- Iterative operator-splitting methods with higher-order time integration methods and applications for parabolic partial differential equations
- A domain decomposition method based on the iterative operator splitting method
- An operator splitting method for nonlinear convection-diffusion equations
- An analysis of operator splitting techniques in the stiff case
- Résolution d'EDP par un schéma en temps «pararéel »
- Iterative Splitting Methods for Differential Equations
- Iterative operator-splitting methods for nonlinear differential equations and applications
- Nonlinear Convergence Analysis for the Parareal Algorithm
- Analysis of the Parareal Time‐Parallel Time‐Integration Method
- On the Construction and Comparison of Difference Schemes
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