74 citations
- University of MünsterDE43 papers
- Universidade Federal do Rio Grande do NorteBR20 papers
- Max Planck Institute for the Physics of Complex SystemsDE18 papers
- Dr. B. R. Ambedkar National Institute of Technology JalandharIN6 papers
- Panjab UniversityIN6 papers
- King Abdullah University of Science and TechnologySA5 papers
- Ruhr University BochumDE5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Helmholtz-Zentrum Dresden-RossendorfDE4 papers
- Johannes Gutenberg University MainzDE4 papers
- Lancaster UniversityGB4 papers
- FZU ‒ Institute of Physics of the Academy of Sciences of the Czech RepublicCZ3 papers
Showing 2021 · math.NAShow all
3 papers · 2 filters
math.NA2021★ 7 cited
Computing with B-series
David I. Ketcheson, Hendrik Ranocha
We present BSeries.jl, a Julia package for the computation and manipulation of B-series, which are a versatile theoretical tool for understanding and designing discretizations of d…
math.NA2021★ 2 cited
Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics
Hendrik Ranocha, Lisandro Dalcin, Matteo Parsani +1
We develop error-control based time integration algorithms for compressible fluid dynamics (CFD) applications and show that they are efficient and robust in both the accuracy-limit…
math.NA2021★ 3 cited
On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations
Hendrik Ranocha, Manuel Quezada de Luna, David I. Ketcheson
We study the numerical error in solitary wave solutions of nonlinear dispersive wave equations. A number of existing results for discretizations of solitary wave solutions of parti…