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References added: the tool's citation as its project asks, each checked 2026-10-06; the survey's text unchanged (tpm_toolkit 0.1.1)
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* '''Lumped Classical Mechanics (8.0/10):''' Native gold standard for multi-body mechanical kinematics and continuous time-dependent DAE integration.
* '''Lumped Classical Mechanics (8.0/10):''' Native gold standard for multi-body mechanical kinematics and continuous time-dependent DAE integration.
* '''Field Theory & Relativity Limitations (2.0/10):''' Unsuited for continuous spatial PDEs, tensor algebra, or quantum operator manifolds without prior spatial discretization.
* '''Field Theory & Relativity Limitations (2.0/10):''' Unsuited for continuous spatial PDEs, tensor algebra, or quantum operator manifolds without prior spatial discretization.
== References ==
''Added on 2026-10-06 by the [[The Principia Machina/Research Toolkit|Research Toolkit]]: the tool's citations, each checked against the registry or the project's own page that day. The text above is the survey's own.''
The Modelica Language Specification is at version 3.7, May 2026.
* '''[[The Principia Machina/Research Toolkit/Bibliography#MODELICA-SPEC|MODELICA-SPEC]]''' – Modelica Association (2026). Modelica Language Specification, Version 3.7 (May 2026). The previous release was 3.6 (2023), and 3.8-dev is in development. No DOI.
* '''[[The Principia Machina/Research Toolkit/Bibliography#FRITZSON14|FRITZSON14]]''' – Fritzson, P. (2014). Principles of Object Oriented Modeling and Simulation with Modelica 3.3: A Cyber-Physical Approach. Wiley (print 12 Nov 2014; ISBN 9781118859124). [https://doi.org/10.1002/9781118989166 doi:10.1002/9781118989166].



Revision as of 03:40, 6 October 2026

Modelica: Acausal DAE Domain Survey

Overview & Architectural Fit

Modelica is an acausal, object-oriented equation-based language engineered to compile and solve Differential-Algebraic Equations (DAEs) with respect to time t.

Mathematical Evaluation for TPM & SVD

  • Lumped Classical Mechanics (8.0/10): Native gold standard for multi-body mechanical kinematics and continuous time-dependent DAE integration.
  • Field Theory & Relativity Limitations (2.0/10): Unsuited for continuous spatial PDEs, tensor algebra, or quantum operator manifolds without prior spatial discretization.

References

Added on 2026-10-06 by the Research Toolkit: the tool's citations, each checked against the registry or the project's own page that day. The text above is the survey's own. The Modelica Language Specification is at version 3.7, May 2026.

  • MODELICA-SPEC – Modelica Association (2026). Modelica Language Specification, Version 3.7 (May 2026). The previous release was 3.6 (2023), and 3.8-dev is in development. No DOI.
  • FRITZSON14 – Fritzson, P. (2014). Principles of Object Oriented Modeling and Simulation with Modelica 3.3: A Cyber-Physical Approach. Wiley (print 12 Nov 2014; ISBN 9781118859124). doi:10.1002/9781118989166.