Towards Improvement of Integration Accuracy of Linear Pdes of First Order in Time

We extend the approaches developed in the papers by Kaps and Rentrop and by Schatzman, and suggest a method for highly accurate time integration of linear first-order evolutionary PDEs. The main idea is to generalise the Runge-Kutta methods for complex timesteps, which reduces the problem of accurate integration to the search for an optimal temporal path on the complex plane. Theoretically the method admits integration with timesteps

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Year of publication:	2018
Authors:	Filatov, Denis M.
Publisher:	[2018]: [S.l.] : SSRN

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Extent:	1 Online-Ressource (9 p)
Series:	Mathematics Preprint Archive ; Vol. 2004, Issue 4, pp 88-96
Type of publication:	Book / Working Paper
Language:	English
Notes:	Nach Informationen von SSRN wurde die ursprüngliche Fassung des Dokuments April 2004 erstellt
Source:	ECONIS - Online Catalogue of the ZBW

Persistent link: https://www.econbiz.de/10012919392