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UID:news1961@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20251126T164729
DTSTART;TZID=Europe/Zurich:20251205T110000
SUMMARY:Seminar in Numerical Analysis: Mamadou N'diaye (Université Polytec
 hnique Hauts-de-France)
DESCRIPTION:In this presentation\, we address the numerical solution of the
  second-order acoustic wave equation using high-order explicit time-integr
 ation methods on CPU-GPU architectures. After discretizing the spatial dom
 ain with spectral element method\, we compare several time-integration sch
 emes for the resulting system of ODEs. We first consider the classical sec
 ond-order leapfrog method\, followed by higher-order Runge-Kutta-Nyström 
 (RKN) schemes and the modified equation approach. We then focus on the ana
 lysis of the stability properties of the RKN method. Strategies for incorp
 orating the damping term\, which involves the first-order time derivative\
 , are discussed with particular attention to preserving the order of conve
 rgence of the schemes. The proposed approaches are compared in terms of co
 mputational efficiency\, and 3D numerical simulation for the acoustic wave
  equation are presented.\\r\\nFor further information about the seminar\, 
 please visit this webpage [https://dmi.unibas.ch/de/forschung/mathematik/s
 eminar-in-numerical-analysis/].
X-ALT-DESC:<p>In this presentation\, we address the numerical solution of t
 he second-order acoustic wave equation using high-order explicit time-inte
 gration methods on CPU-GPU architectures. After discretizing the spatial d
 omain with spectral element method\, we compare several time-integration s
 chemes for the resulting system of ODEs. We first consider the classical s
 econd-order leapfrog method\, followed by higher-order Runge-Kutta-Nyströ
 m (RKN) schemes and the modified equation approach. We then focus on the a
 nalysis of the stability properties of the RKN method. Strategies for inco
 rporating the damping term\, which involves the first-order time derivativ
 e\, are discussed with particular attention to preserving the order of con
 vergence of the schemes. The proposed approaches are compared in terms of 
 computational efficiency\, and 3D numerical simulation for the acoustic wa
 ve equation are presented.</p>\n<p>For further information about the semin
 ar\, please visit this <a href="https://dmi.unibas.ch/de/forschung/mathema
 tik/seminar-in-numerical-analysis/">webpage</a>.</p>
DTEND;TZID=Europe/Zurich:20251205T123000
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