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 …

We review our algebraic framework for linear boundary problems (concentrating on ordinary
differential equations). Its starting point is an appropriate algebraization of the domain of …

Introduction. We present a Maple package for computing in algebras of integro-differential
operators. This provides the appropriate algebraic setting for treating boundary problems [7] …

We present a new version of the Maple package IntDiffOp [6, 7] for Symbolic Computation
with boundary problems for linear ordinary differential equations. The solution of boundary …

In this paper, we summarize our recent work on establishing, for the first time, an algorithm
for the symbolic solution of linear boundary problems. We put our work in the frame of Wen …

We set up an algebraic theory of multivariable integration, based on a hierarchy of Rota-
Baxter operators and an action of the matrix monoid as linear substitutions. Given a suitable …

We describe a new maple package for treating boundary problems for linear ordinary
differential equations, allowing two-/multi-point as well as Stieltjes boundary conditions. For …

We introduce a general algebraic setting for describing linear boundary problems in a
symbolic computation context, with emphasis on the case of partial differential equations …

In this thesis, we present a symbolic framework for working with general polynomial
domains, targeted at dealing with linear boundary problems on the operator level. We …

In this survey, we outline two recent constructions of free commutative integro-differential
algebras. They are based on the construction of free commutative Rota-Baxter algebras by …