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Efficient connection processing in equation–based object–oriented models

Author

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  • Marzorati, Denise
  • Fernández, Joaquin
  • Kofman, Ernesto

Abstract

This work introduces a novel methodology for transforming a large set of connections into the corresponding set of equations as required by the flattening stage of the compilation process of object oriented models. The proposed methodology uses a compact representation of the connections in the form of a Set–Based Graph, in which different sets of vertices and different sets of edges are formed exploiting the presence of regular structures. Using this compact representation, a novel algorithm is proposed to find the connected components of the Set–Based Graph. This algorithm, under certain restrictions, has the remarkable property of achieving constant computational costs with respect to the number of vertices and edges contained in each set. That way, under the mentioned restrictions, the proposed methodology can transform a large set of connections into the corresponding set of equations within a time that is independent on the size of the arrays contained in the model.

Suggested Citation

  • Marzorati, Denise & Fernández, Joaquin & Kofman, Ernesto, 2022. "Efficient connection processing in equation–based object–oriented models," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    • Handle: RePEc:eee:apmaco:v:418:y:2022:i:c:s0096300321009255
    DOI: 10.1016/j.amc.2021.126842
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    References listed on IDEAS

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    1. 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).
    2. Qin, Xiaolin & Tang, Juan & Feng, Yong & Bachmann, Bernhard & Fritzson, Peter, 2016. "Efficient index reduction algorithm for large scale systems of differential algebraic equations," Applied Mathematics and Computation, Elsevier, vol. 277(C), pages 10-22.
    3. 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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