[Faculty] Fwd: [CSRC.COLLOQUIUM] "Mimetic Relaxation Runge Kutta Methods "

[Jose Castillo]

[image: SDSU_CSRC Logo.jpg]

DATE:
*Friday, July 22, 2022*


TITLE:
*Mimetic Relaxation Runge Kutta Methods*



TIME:
*3:30-4:30PM*



LOCATION:
Join Zoom Meeting -   https://SDSU.zoom.us/j/84285816438
<https://sdsu.zoom.us/j/84285816438>


SPEAKER/BIO:
*Anand Srinivasan, PhD Candidate, Computational Science *



ABSTRACT:
Hyperbolic PDEs such as the advection and wave equations conform to
conservation laws that are derived from fundamental physics. The
traditional finite difference spatial discretization schemes with the Runge
Kutta (RK) time integration methods often fail to conserve the numerical
energy. In this work, we investigate the use of Mimetic Relaxation Runge
Kutta methods for provably-stable numerical integration of hyperbolic PDEs.
The Castillo-Grone Mimetic methods mimic the divergence and gradient
operators by discretizing the extended Gauss' divergence theorem.
Relaxation RK methods ensure numerical energy preservation at each time
step of integration. The energy-preserving properties of the Mimetic RRK
methods shall be presented in this talk. Numerical examples that illustrate
this concept shall also be presented.


Host:
*SDSU SIAM Student Chapter*

Note: Videos of previous colloquium talks can be seen on the CSRC website
in the colloquium archive section or on the CSRC YouTube page here
<https://www.youtube.com/channel/UCN0ZEztlmyDqG2pm-Rle_Eg/feed>.



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