3 papers
math.NA2025
The piston effect in supercritical fluids investigated via a reversible-irreversible vector field splitting-based explicit time integration scheme
Donát M. Takács, Tamás Fülöp, Róbert Kovács +1
In the vicinity of the liquid--vapor critical point, supercritical fluids behave strongly compressibly and, in parallel, thermophysical properties have strong state dependence. The…
math.NA2025
On the coordinate system-dependence of the accuracy of symplectic numerical methods
Donát M. Takács, Tamás Fülöp
Symplectic numerical methods have become a widely-used choice for the accurate simulation of Hamiltonian systems in various fields, including celestial mechanics, molecular dynamic…
math.NA2024
Improving the accuracy of the Newmark method through backward error analysis
Donát M. Takács, Tamás Fülöp
We use backward error analysis for differential equations to obtain modified or distorted equations describing the behaviour of the Newmark scheme applied to the transient structur…