TVD-MOOD schemes based on implicit-explicit time integration

Michel-Dansac, Victor; Thomann, Andrea

doi:10.1016/j.amc.2022.127397

Cited by 5 publications

(1 citation statement)

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“…Several IMEX schemes can preserve positivity and Total Variation Bounded (TVB) bounds during the time integration step, e.g. [52,88,103], but this does not guarantee that these properties are preserved for the fully discrete scheme. Designing IMEX-DG discretizations that inherently preserve bounds using the maximum principle preserving techniques in [132,133] is non-trivial and still an open question.…”

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confidence: 99%

Higher order time-implicit bounds preserving discontinuous Galerkin discretizations for partial differential equations

Yan

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No parts of this thesis may be reproduced, stored in a retrieval system or transmitted in any form or by any means without permission of the author. Alle rechten voorbehouden. Niets uit deze uitgave mag worden vermenigvuldigd, in enige vorm of op enige wijze, zonder voorafgaande schriftelijke toestemming van de auteur. GRADUATION COMMITTEE:Chairman/secretary prof.dr. J.N. Kok (University of Twente) Supervisors prof.dr.ir. J.J.W. van der Vegt (University of Twente) prof.dr. Y. Xu (University of Science and Technology of China) Members prof.dr.ir. E.H. van Brummelen (TU Eindhoven) prof.dr.ir. B. Koren (TU Eindhoven) prof.dr. I.S. Pop (Hasselt University) prof.dr. A.A. Stoorvogel (University of Twente) dr. M. Schlottbom (University of Twente) This work was funded by a fellowship from the China Scholarship Council (No.201806340058).

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confidence: 99%