The barycentric rational numerical differentiation formulas for stiff ODEs and DAEs

A Abdi, M Arnold, H Podhaisky - Numerical Algorithms, 2024 - Springer
Due to their several attractive properties, BDF-type multistep methods are usually the
method-of-choice for solving stiff initial value problems (IVPs) of ordinary differential …

Variable stepsize general linear methods for ODEs

A Abdi, H Podhaisky - Numerical Algorithms, 2025 - Springer
Contrary to the implementation of multistep (or multivalue) methods based on Nordsieck
technique, variable stepsize (VS) methods do not require updating the input quantities when …