IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v403y2021ics009630032100271x.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S009630032100271X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2021.126181?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Li, Jiajia & Tian, Xin & Wei, Guoliang, 2022. "Asynchronous partially mode-dependent control for switched larger-scale nonlinear systems with bounded sojourn time," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    2. Marzorati, Denise & Fernández, Joaquin & Kofman, Ernesto, 2022. "Efficient connection processing in equation–based object–oriented models," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    3. Gerald Schweiger & Fabian Kuttin & Alfred Posch, 2019. "District Heating Systems: An Analysis of Strengths, Weaknesses, Opportunities, and Threats of the 4GDH," Energies, MDPI, vol. 12(24), pages 1-15, December.
    4. Arellano-García, María Evarista & Camacho-Gutiérrez, José Ariel & Solorza-Calderón, Selene, 2021. "Machine learning approach for higher-order interactions detection to ecological communities management," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    5. Falay, Basak & Schweiger, Gerald & O’Donovan, Keith & Leusbrock, Ingo, 2020. "Enabling large-scale dynamic simulations and reducing model complexity of district heating and cooling systems by aggregation," Energy, Elsevier, vol. 209(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:403:y:2021:i:c:s009630032100271x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.