Compact sparse symbolic Jacobian computation in large systems of ODEs

DOI10.1016/j.amc.2021.126181OpenAlexW3136315652MaRDI QIDQ2242825

Ernesto Kofman, Joaquín L. Fernández, Denise Marzorati

Publication date: 10 November 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2021.126181

zbMATH Keywords

large scale modelsset-based graphsJacobian computation

Mathematics Subject Classification ID

Numerical analysis (65-XX) Ordinary differential equations (34-XX) Partial differential equations (35-XX) General systems theory (93Axx)

Related Items (1)

Efficient connection processing in equation-based object-oriented models

Uses Software

• GiNaC
• Modelica
• MINPACK-2
• CVODE
• dcc
• Boost
• BGL
• OpenModelica

Cites Work

• Unnamed Item
• A comparison of stiff ODE solvers for astrochemical kinetics problems
• Introduction to the GiNaC framework for symbolic computation within the \(\text{C}^{++}\) programming language
• Modeling and simulation of large-scale systems: a systematic comparison of modeling paradigms
• An equation-based algorithmic differentiation technique for differential algebraic equations
• The Art of Differentiating Computer Programs
• Computing Large Sparse Jacobian Matrices Using Automatic Differentiation
• Jacobian code generated by source transformation and vertex elimination can be as efficient as hand-coding

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