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Journal Articles Foundations of Computational Mathematics Year : 2019

Linear Differential Equations as a Data-Structure

Bruno Salvy


A lot of information concerning solutions of linear differential equations can be computed directly from the equation. It is therefore natural to consider these equations as a data-structure, from which mathematical properties can be computed. A variety of algorithms has thus been designed in recent years that do not aim at "solving", but at computing with this representation. Many of these results are surveyed here.

Dates and versions

hal-01940078 , version 1 (30-11-2018)



Bruno Salvy. Linear Differential Equations as a Data-Structure. Foundations of Computational Mathematics, 2019, 19 (5), pp.1071-1112. ⟨10.1007/s10208-018-09411-x⟩. ⟨hal-01940078⟩
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