Implicit-Explicit Runge-Kutta schemes for hyperbolic systems ... - utenti
Implicit-Explicit Runge-Kutta schemes for hyperbolic systems ... - utenti
Implicit-Explicit Runge-Kutta schemes for hyperbolic systems ... - utenti
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Outline<br />
⊲ <strong>Implicit</strong>-<strong>Explicit</strong> (IMEX) <strong>Runge</strong>-<strong>Kutta</strong> <strong>schemes</strong><br />
– Splitting methods<br />
– IMEX-<strong>Runge</strong> <strong>Kutta</strong><br />
– Order conditions<br />
⊲ Asymptotic behavior<br />
– Zero relaxation limit<br />
– Asymptotic properties of IMEX <strong>schemes</strong><br />
⊲ Stability analysis<br />
– Stability matrix<br />
– Prototype equations<br />
⊲ Space discretizations<br />
⊲ Applications<br />
⊲ Conclusions<br />
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