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math.NA2017★ 4 cited
Spatial Manifestations of Order Reduction in Runge-Kutta Methods for Initial Boundary Value Problems
Rodolfo Ruben Rosales, Benjamin Seibold, David Shirokoff +1
This paper studies the spatial manifestations of order reduction that occur when time-stepping initial-boundary-value problems (IBVPs) with high-order Runge-Kutta methods. For such…
math.NA2017★ 4 cited
A Comparative Study of Limiting Strategies in Discontinuous Galerkin Schemes for the Model of Radiation Transport
Prince Chidyagwai, Martin Frank, Florian Schneider +1
The minimum entropy moment system is a system of hyperbolic balance laws that approximates the radiation transport equation, and has many desirable properties. Among them are…