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• W1973125837 abstract "In this work, we study time-splitting strategies for the numerical approximation of evolutionary reaction-diffusion problems. In particular, we formulate a family of domain decomposition splitting methods that overcomes some typical limitations of classical alternating direction implicit (ADI) schemes. The splitting error associated with such methods is observed to be $mathcal{O}(tau^2)$ in the time step $tau$. In order to decrease the size of this splitting error to $mathcal{O}(tau^3)$, we add a correction term to the right-hand side of the original formulation. This procedure is based on the improved initialization technique proposed by Douglas and Kim in the framework of ADI methods. The resulting non-iterative schemes reduce the global system to a collection of uncoupled subdomain problems that can be solved in parallel. Computational results comparing the newly derived algorithms with the Crank-Nicolson scheme and certain ADI methods are presented." @default.
• W1973125837 created "2016-06-24" @default.
• W1973125837 creator A5002027046 @default.
• W1973125837 creator A5013218603 @default.
• W1973125837 date "2015-09-01" @default.
• W1973125837 modified "2023-09-24" @default.
• W1973125837 title "Improved accuracy for time-splitting methods for the numerical solution of parabolic equations" @default.
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• W1973125837 doi "https://doi.org/10.1016/j.amc.2015.03.073" @default.
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