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Compact sparse symbolic Jacobian computation in large systems of ODEs

Author

Listed:
  • Kofman, Ernesto
  • Fernández, Joaquín
  • Marzorati, Denise

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.

Suggested Citation

  • Kofman, Ernesto & Fernández, Joaquín & Marzorati, Denise, 2021. "Compact sparse symbolic Jacobian computation in large systems of ODEs," Applied Mathematics and Computation, Elsevier, vol. 403(C).
    • Handle: RePEc:eee:apmaco:v:403:y:2021:i:c:s009630032100271x
    DOI: 10.1016/j.amc.2021.126181
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    References listed on IDEAS

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    1. Schweiger, G. & Nilsson, H. & Schoeggl, J. & Birk, W. & Posch, A., 2020. "Modeling and simulation of large-scale systems: A systematic comparison of modeling paradigms," Applied Mathematics and Computation, Elsevier, vol. 365(C).
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    Cited by:

    1. Marzorati, Denise & Fernández, Joaquin & Kofman, Ernesto, 2022. "Efficient connection processing in equation–based object–oriented models," Applied Mathematics and Computation, Elsevier, vol. 418(C).

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