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SUMMARY:David Ketcheson (King Abdullah University of Science and Technolog
 y\, Saudi Arabia)
DTSTART:20210525T140000Z
DTEND:20210525T150000Z
DTSTAMP:20260423T021104Z
UID:SNAP/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SNAP/2/">Exp
 licit numerical integrators that conserve energy or dissipate entropy</a>\
 nby David Ketcheson (King Abdullah University of Science and Technology\, 
 Saudi Arabia) as part of Seminars on Numerics and Applications\n\n\nAbstra
 ct\nMany mathematical models are equipped with an energy that is conserved
  or an entropy that is known to change monotonically in time. Integrators 
 that preserve these properties discretely are usually expensive\, with the
  best-known examples being fully-implicit Runge-Kutta methods. I will pres
 ent a modification that can be applied to any integrator in order to prese
 rve such a structural property. The resulting method can be fully explicit
 \, or (depending on the functional) may require the solution of a scalar a
 lgebraic equation at each step. I will present examples to show the effect
 iveness of these “relaxation” methods\, and their advantages over full
 y implicit methods or orthogonal projection. Examples will include applica
 tions to compressible fluid dynamics\, dispersive nonlinear waves\, and Ha
 miltonian systems.\n
LOCATION:https://researchseminars.org/talk/SNAP/2/
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