Using the RD rational Arnoldi method for exponential integrators
classification
🧮 math.NA
cs.NA
keywords
integratorssomearnoldiexponentialmethodrationala-posterioriarising
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In this paper we investigate some practical aspects concerning the use of the Restricted-Denominator (RD) rational Arnoldi method for the computation of the core functions of exponential integrators for parabolic problems. We derive some useful a-posteriori bounds together with some hints for a suitable implementation inside the integrators. Numerical ex- periments arising from the discretization of sectorial operators are pre- sented.
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