A stable parareal-like method for the second order wave equation (Record no. 707)

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fixed length control field 01305nam a2200169 a 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20260901030411.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 250101s2019 xx o 000 0 eng d
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Hieu Nguyen
245 10 - TITLE STATEMENT
Title A stable parareal-like method for the second order wave equation
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Name of producer, publisher, distributor, manufacturer arXiv
Date of production, publication, distribution, manufacture, or copyright notice 2019
336 ## - CONTENT TYPE
Content type term text
338 ## - CARRIER TYPE
Carrier type term online resource
520 ## - SUMMARY, ETC.
Summary, etc. A new parallel-in-time iterative method is proposed for solving the homogeneous second-order wave equation. The new method involves a coarse scale propagator, allowing for larger time steps, and a fine scale propagator which fully resolves the medium using finer spatial grid and shorter time steps. The fine scale propagator is run in parallel for short time intervals. The two propagators are coupled in an iterative way that resembles the standard parareal method developed by Lions, Maday and Turinici. We present a data-driven strategy in which the computed data gathered from each iteration are re-used to stabilize the coupling by minimizing the energy residual of the fine and coarse propagated solutions. An example of Marmousi model is provided to demonstrate the performance of the proposed method.
506 0# - RESTRICTIONS ON ACCESS NOTE
Terms governing access Open access — freely available to read.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://arxiv.org/pdf/1905.00473v2">https://arxiv.org/pdf/1905.00473v2</a>
Link text Read the full paper (PDF)
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      Available online General Yegates University Library Yegates University Library Science and Computing 09/01/2026   YGE000968 09/01/2026 https://arxiv.org/pdf/1905.00473v2 09/01/2026 Research paper — read online