Implementing Integro-differential Operators via Normal Forms
Sprache des Vortragstitels:
SAGE Days 24
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Integro-differential operators provide an algebraic structure for representing linear boundary problems for ordinary differential equations as well as their solution operators. We discuss a possible implementation of integro-differential operators in computer algebra systems. The operators are represented in normal forms, which are given as a sum of a differential, an integral, and a boundary operator. We show an implementation in Maple with applications to boundary problems. It allows to compute solution operators (Green's operators) and to multiply and factor boundary problems.