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Simulations of Instationary Schrodinger Equation with Coupled Time- and Space Splitting Methods

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Proceedings of Sixth International Congress on Information and Communication Technology

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 235))

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Abstract

In this paper, we present a coupled method of a time- and spatial-splitting approach. Such combined methods are used to reduce the computational amount of the time- and space approximation methods, while we could concentrate on each time or spatial part, which could also be done in parallel and reduce the computational time. We deal with the instationary Schrodinger equation, which are well known for modelling molecular-dynamical problems. Based on efficient combination of both time- and space splitting approaches, we could speed up the computational process and optimise each part in the time and space splitting to efficient solver methods.

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Correspondence to Jürgen Geiser .

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Geiser, J., Hajiketabi, M. (2022). Simulations of Instationary Schrodinger Equation with Coupled Time- and Space Splitting Methods. In: Yang, XS., Sherratt, S., Dey, N., Joshi, A. (eds) Proceedings of Sixth International Congress on Information and Communication Technology. Lecture Notes in Networks and Systems, vol 235. Springer, Singapore. https://doi.org/10.1007/978-981-16-2377-6_11

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