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A toolbox to solve coupled systems of differential and difference equations [Cross-Listing]
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We present algorithms to solve coupled systems of linear differential equations, arising in the calculation of massive Feynman diagrams with local operator insertions at 3-loop order, which do {\it not} request special choices of bases. Here we assume...
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Advances in Continuous and Discrete Models | Home page

Advances in Difference Equations is a peer-reviewed open access journal published under the brand SpringerOpen. It will soon be publishing articles within a ...
Polynomial solutions of differential equations | Advances in Continuous and Discrete Models | Full Text

A new approach for investigating polynomial solutions of differential equations is proposed. It is based on elementary linear algebra. Any differential operator of the form , where a k is a polynomial...

On stability zones for discrete-time periodic linear Hamiltonian systems | Advances in Continuous and Discrete Models | Full Text

The main purpose of the paper is to give discrete time counterpart for some strong (robust) stability results concerning periodic linear Hamiltonian systems. In the continuous-time version, these resu...