53 citations · 152 across the 17 of their papers we have counts for
4 papers · 1 filter
On Integro-Differential Algebras
Li Guo, Georg Regensburger, Markus Rosenkranz
The concept of integro-differential algebra has been introduced recently in the study of boundary problems of differential equations. We generalize this concept to that of integro-…
Regular and Singular Boundary Problems in Maple
Anja Korporal, Georg Regensburger, Markus Rosenkranz
We describe a new Maple package for treating boundary problems for linear ordinary differential equations, allowing two-/multipoint as well as Stieltjes boundary conditions. For ex…
Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Gröbner Bases
Markus Rosenkranz, Georg Regensburger, Loredana Tec +1
We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain…
A Noncommutative Mikusinski Calculus
Markus Rosenkranz, Anja Korporal
We set up a left ring of fractions over a certain ring of boundary problems for linear ordinary differential equations. The fraction ring acts naturally on a new module of generali…