Information geometric regularization integrated into finite volume methods handles shocks in Navier-Stokes-like problems with accuracy competitive to WENO and LAD schemes while using fewer operations per step.
Shu, Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws, in: B
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Shocks without shock capturing: Information geometric regularization of finite volume methods for Navier--Stokes-like problems
Information geometric regularization integrated into finite volume methods handles shocks in Navier-Stokes-like problems with accuracy competitive to WENO and LAD schemes while using fewer operations per step.