Compact sparse symbolic Jacobian computation in large systems of ODEs

Ernesto Kofman, Joaquín Fernández and Denise Marzorati

Applied Mathematics and Computation, 2021, vol. 403, issue C

Abstract: This work introduces a novel algorithm that automatically produces computer code for the calculation of sparse symbolical Jacobian matrices. More precisely, given the code for computing a function f depending on a set of state (independent) variables x, where the code makes use of intermediate algebraic (auxiliary) variables a(x), the algorithm automatically produces the code for the symbolic computation of the matrix J=∂f/∂x in sparse representation.

Keywords: Large scale models; Jacobian computation; Set–based graphs (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:403:y:2021:i:c:s009630032100271x

DOI: 10.1016/j.amc.2021.126181

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