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Journal Articles Applied Numerical Mathematics Year : 2022

A Schwarz waveform relaxation method for time-dependent space fractional Schrödinger/heat equations

Abstract

This paper is dedicated to the derivation and analysis of a Schwarz waveform relaxation domain decomposition method for solving time-dependent linear/nonlinear space fractional Schrödinger and heat equations. Along with the details of the derivation of the method and some mathematical properties, we also propose some illustrating numerical experiments and conjectures on the rate of convergence of the method.
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Dates and versions

hal-03119456 , version 1 (24-01-2021)

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Cite

Xavier Antoine, Emmanuel Lorin. A Schwarz waveform relaxation method for time-dependent space fractional Schrödinger/heat equations. Applied Numerical Mathematics, 2022, 182, pp.248-264. ⟨10.1016/j.apnum.2022.07.012⟩. ⟨hal-03119456⟩
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