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Communication Dans Un Congrès Année : 2007

Time-domain simulation of functions and dynamical systems of Bessel type

Karim Trabelsi
Thomas Hélie
Denis Matignon
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Résumé

Two methods are investigated for the time-domain simulation of functions and dynamical systems of Bessel type, involved in wave propagation (see e.g. [1], [8], [2]). Both are based on complex analysis and lead to finitedimensional approximations. The first method relies on optimized parametric contours and provides asymptotic convergence rates. The second is based on cuts and integral representations, whose approximations prove efficient, even at low orders, using ad hoc frequency criteria.

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Dates et versions

hal-01106335 , version 1 (20-01-2015)

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  • HAL Id : hal-01106335 , version 1

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Karim Trabelsi, Thomas Hélie, Denis Matignon. Time-domain simulation of functions and dynamical systems of Bessel type. WAVES - Conference on Mathematical and Numerical aspects of waves, Jul 2007, Reading, Royaume-Uni. pp.1-3. ⟨hal-01106335⟩
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