3 papers
math.NA2026
Some properties of high-order nonstandard multistep multistage methods
Balint M. Takacs
In this paper, we introduce nonstandard versions of multistep multistage methods. While proving the convergence of these schemes, we also define nonstandard general linear methods.…
math.NA2025
An insight on some properties of high order nonstandard linear multistep methods
Bálint Takács
In this paper, nonstandard multistep methods are considered. It is shown that under some (sufficient and necessary) conditions, these methods attain the same order as their standar…
math.NA2024
High-order reliable numerical methods for epidemic models with non-constant recruitment rate
B. M. Takács, G. Svantnerné Sebestyén, I. Faragó
The mathematical modeling of the propagation of illnesses has an important role from both mathematical and biological points of view. In this article, we observe an SEIR-type model…