Asymptotic preserving trigonometric integrators for the quantum Zakharov system.

Autor: Baumstark, Simon, Schratz, Katharina
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Zdroj: BIT: Numerical Mathematics; Mar2021, Vol. 61 Issue 1, p61-81, 21p
Abstrakt: We present a new class of asymptotic preserving trigonometric integrators for the quantum Zakharov system. Their convergence holds in the strong quantum regime ϑ = 1 as well as in the classical regime ϑ → 0 without imposing any step size restrictions. Moreover, the new schemes are asymptotic preserving and converge to the classical Zakharov system in the limit ϑ → 0 uniformly in the time discretization parameter. Numerical experiments underline the favorable error behavior of the new schemes with first- and second-order time convergence uniformly in ϑ , first-order asymptotic convergence in ϑ and long time structure preservation properties. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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