Year: 2025
Type: article
Abstract: Preserving invariants of differential equations under discretization can be important, e.g., to improve the qualitative and quantitative properties of numerical solutions. Recently, relaxation methods have been proposed as small modifications of standard time integration schemes guaranteeing the correct evolution of functionals of the solution. We investigate how to combine relaxation with error-based step size control for explicit Runge-Kutta methods using the first-same-as-last (FSAL) technique and demonstrate the improved efficiency of our new methods.
Source: Journal of Scientific Computing
Authors: Sebastian Bleecke, Hendrik Ranocha
Institution: Johannes Gutenberg University Mainz
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
OpenAlex ID: W4416975989