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UID:submissions.pasc-conference.org_PASC24_sess126_msa103@linklings.com
SUMMARY:Mixed-Precision in High-Order Methods: Studying the Impact of Nume
 rical Precision on the ADER-DG Algorithm
DESCRIPTION:Minisymposium\n\nMarc Marot-Lassauzaie and Michael Bader (Tech
 nical University of Munich)\n\nWhile most scientific applications are stil
 l computed in double precision, mixed-precision algorithms are becoming mo
 re commonplace as a way to improve the performance of an algorithm without
  overly increasing the resulting error. The impact of numerical precision 
 on the results and stability of an algorithm however remain difficult to e
 stimate.\n\nWe present a study on the impact of using mixed and variable n
 umerical precision in the high-order ADER discontinuous Galerkin method fo
 r solving hyperbolic PDEs.\nAs a baseline, the entire algorithm is compute
 d in multiple precisions and the results compared. Then we measure the eff
 ects of changing the precision of individual kernels to estimate whether a
  mixed-precision approach could reduce the overall loss of accuracy.\nIn a
 ddition, we simulate two stationary but numerically challenging scenarios 
 in the isentropic vortex for the Euler equations and the resting lake scen
 ario for the shallow water equations, to see whether variable precision ca
 n be used to resolve local stability issues.\nFinally we review the effect
 s of numerical precision on the features of Lagrange interpolations, which
  are commonly used but are susceptible to small changes in the nodal value
 s.\n\nDomain: Climate, Weather, and Earth Sciences, Engineering, Physics, 
 Computational Methods and Applied Mathematics\n\nSession Chairs: Eike Muel
 ler (University of Bath) and Tobias Weinzierl (Durham University)
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