most citedStep size control for explicit relaxation Runge-Kutta methods preserving invariants

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math.NA2025

Asymptotic-preserving and energy-conserving methods for a hyperbolic approximation of the BBM equation

Sebastian Bleecke, Abhijit Biswas, David I. Ketcheson +2

We study the hyperbolic approximation of the Benjamin-Bona-Mahony (BBM) equation proposed recently by Gavrilyuk and Shyue (2022). We develop asymptotic-preserving numerical methods…

math.NA2023★ 1 cited

Step size control for explicit relaxation Runge-Kutta methods preserving invariants

Sebastian Bleecke, Hendrik Ranocha

Many time-dependent differential equations are equipped with invariants. Preserving such invariants under discretization can be important, e.g., to improve the qualitative and quan…