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DTSTART:19810329T020000
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UID:news2005@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20260309T184135
DTSTART;TZID=Europe/Zurich:20260327T110000
SUMMARY:Seminar in Numerical Analysis: Jörg Nick (University of Geneva)
DESCRIPTION:Controlling waves by actively changing the material parameters 
 of a medium enables the development of new acoustic and electrical devices
 . Modulating the material breaks classical properties like reciprocity and
  the conservation of energy\, which complicates the mathematical analysis.
  Without a limiting amplitude principle\, time-harmonic formulations are g
 enerally inapplicable. The talk introduces an alternative tool for the tim
 e-modulated acoustic wave equation\, that is based on a modulated Fourier 
 expansion (MFE). The solution is characterized by multiple smoothly varyin
 g coefficient functions\, which solve a coupled system of evolutionary par
 tial differential equations with temporally constant coefficients. For sma
 ll-amplitude fast-time modulations\, this system of evolutionary partial d
 ifferential equations possesses a unique smoothly varying solution\, which
  characterizes the exact solution up to a small defect. Discretization of 
 the derived coupled system yields integrators that are stable and accurate
  when larger time steps are used\, compared to those schemes that are appl
 ied to the time-modulated acoustic wave equation directly. Numerical exper
 iments illustrate the theoretical results and the use of the approach.\\r\
 \nFor further information about the seminar\, please visit this webpage [h
 ttps://dmi.unibas.ch/de/forschung/mathematik/seminar-in-numerical-analysis
 /].
X-ALT-DESC:<p>Controlling waves by actively changing the material parameter
 s of a medium enables the development of new acoustic and electrical devic
 es. Modulating the material breaks classical properties like reciprocity a
 nd the conservation of energy\, which complicates the mathematical analysi
 s. Without a limiting amplitude principle\, time-harmonic formulations are
  generally inapplicable. The talk introduces an alternative tool for the t
 ime-modulated acoustic wave equation\, that is based on a modulated Fourie
 r expansion (MFE). The solution is characterized by multiple smoothly vary
 ing coefficient functions\, which solve a coupled system of evolutionary p
 artial differential equations with temporally constant coefficients. For s
 mall-amplitude fast-time modulations\, this system of evolutionary partial
  differential equations possesses a unique smoothly varying solution\, whi
 ch characterizes the exact solution up to a small defect. Discretization o
 f the derived coupled system yields integrators that are stable and accura
 te when larger time steps are used\, compared to those schemes that are ap
 plied to the time-modulated acoustic wave equation directly. Numerical exp
 eriments illustrate the theoretical results and the use of the approach.</
 p>\n<p>For further information about the seminar\, please visit this <a hr
 ef="https://dmi.unibas.ch/de/forschung/mathematik/seminar-in-numerical-ana
 lysis/">webpage</a>.</p>
DTEND;TZID=Europe/Zurich:20260327T123000
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