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Linear Differential Equations as a Data Structure

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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… Click to show full abstract

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.

Keywords: equations data; linear differential; differential equations; data structure

Journal Title: Foundations of Computational Mathematics
Year Published: 2019

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