Design of optimal Runge-Kutta methods - FEniCS Project
Design of optimal Runge-Kutta methods - FEniCS Project
Design of optimal Runge-Kutta methods - FEniCS Project
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Strong stability preservation<br />
<strong>Design</strong>ing fully-discrete schemes with strong stability properties is<br />
notoriously difficult!<br />
Instead, one <strong>of</strong>ten takes a method-<strong>of</strong>-lines approach and assumes explicit<br />
Euler time integration.<br />
But in practice, we need to use higher order <strong>methods</strong>, for reasons <strong>of</strong> both<br />
accuracy and linear stability.<br />
Strong stability preserving <strong>methods</strong> provide higher order accuracy while<br />
maintaining any convex functional bound satisfied by Euler timestepping.<br />
D. Ketcheson (KAUST) 22 / 36
Change language