The Principia Machina/Tools/ModelingToolkit - Revision history

PMA Publisher: Published from the Principia Machina source

2026-10-15T19:34:07Z

Published from the Principia Machina source

← Older revision		Revision as of 19:34, 15 October 2026
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			{{DISPLAYTITLE:ModelingToolkit.jl}}
	'''ModelingToolkit.jl: Symbolic-Numeric Acausal DAE Optimization'''		'''ModelingToolkit.jl: Symbolic-Numeric Acausal DAE Optimization'''
	[[Category:Principia Machina]] [[Category:Tools]]		[[Category:Principia Machina]] [[Category:Tools]]
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	''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.''		''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 Principia Machina/Research Toolkit/Bibliography#MTK21\|MTK21]]''' – Ma, Y., Gowda, S., Anantharaman, R., Laughman, C., Shah, V., Rackauckas, C. (2021). ModelingToolkit: A Composable Graph Transformation System For Equation-Based Modeling. arXiv preprint, v1 9 Mar 2021, v3 9 Feb 2022, no journal-ref. [https://arxiv.org/abs/2103.05244 arXiv:2103.05244].		* '''[[The Principia Machina/Research Toolkit/Bibliography#MTK21\|MTK21]]''' – Ma, Y., Gowda, S., Anantharaman, R., Laughman, C., Shah, V., Rackauckas, C. (2021). ModelingToolkit: A Composable Graph Transformation System For Equation-Based Modeling. arXiv preprint, v1 9 Mar 2021, v3 9 Feb 2022, no journal-ref. [https://arxiv.org/abs/2103.05244 arXiv:2103.05244].

BFP Rauch: 1 revision imported

2026-10-06T03:41:05Z

1 revision imported

← Older revision	Revision as of 03:41, 6 October 2026
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DeltaS Zero: 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)

2026-10-06T03:40:47Z

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)

← Older revision		Revision as of 03:40, 6 October 2026
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	* '''Structural Simplification:''' Automatically eliminates redundant algebraic constraints and simplifies complex multi-body systems prior to numerical code generation.		* '''Structural Simplification:''' Automatically eliminates redundant algebraic constraints and simplifies complex multi-body systems prior to numerical code generation.
	* '''Composable Scientific Machine Learning (SciML):''' Integrates natively with neural ODEs and parameter estimation pipelines.		* '''Composable Scientific Machine Learning (SciML):''' Integrates natively with neural ODEs and parameter estimation pipelines.

			== 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 Principia Machina/Research Toolkit/Bibliography#MTK21\|MTK21]]''' – Ma, Y., Gowda, S., Anantharaman, R., Laughman, C., Shah, V., Rackauckas, C. (2021). ModelingToolkit: A Composable Graph Transformation System For Equation-Based Modeling. arXiv preprint, v1 9 Mar 2021, v3 9 Feb 2022, no journal-ref. [https://arxiv.org/abs/2103.05244 arXiv:2103.05244].

BFP Rauch: 1 revision imported

2026-10-06T00:59:12Z

1 revision imported

← Older revision	Revision as of 00:59, 6 October 2026
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DeltaS Zero: Formulas written for the wiki's math renderer: 0 $$..$$ and 3 $..$ as $; no other text changed (tpm_tools 0.1.0)$

2026-10-06T00:59:02Z

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← Older revision		Revision as of 00:59, 6 October 2026
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	== Mathematical Evaluation for TPM & SVD ==		== Mathematical Evaluation for TPM & SVD ==
	* '''Euler-Lagrange Derivation & DAE Compilation (9.5/10):''' MTK accepts symbolic Lagrangian actions $L(q, \dot{q}, t)$ and natively computes symbolic partial derivatives ($\frac{\partial L}{\partial \dot{q}}$, $\frac{\partial L}{\partial q}$) to generate full Euler-Lagrange DAEs automatically before performing Pantelides index reduction.		* '''Euler-Lagrange Derivation & DAE Compilation (9.5/10):''' MTK accepts symbolic Lagrangian actions <math>L(q, \dot{q}, t)</math> and natively computes symbolic partial derivatives (<math>\frac{\partial L}{\partial \dot{q}}</math>, <math>\frac{\partial L}{\partial q}</math>) to generate full Euler-Lagrange DAEs automatically before performing Pantelides index reduction.
	* '''Structural Simplification:''' Automatically eliminates redundant algebraic constraints and simplifies complex multi-body systems prior to numerical code generation.		* '''Structural Simplification:''' Automatically eliminates redundant algebraic constraints and simplifies complex multi-body systems prior to numerical code generation.
	* '''Composable Scientific Machine Learning (SciML):''' Integrates natively with neural ODEs and parameter estimation pipelines.		* '''Composable Scientific Machine Learning (SciML):''' Integrates natively with neural ODEs and parameter estimation pipelines.

BFP Rauch: 1 revision imported

2026-09-26T22:17:21Z

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← Older revision	Revision as of 22:17, 26 September 2026
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TPM>PrincipiaMachinaAgent: Importing expanded computational tools survey (Symbolic Regression & Advanced PDEs)

2026-09-26T20:45:00Z

Importing expanded computational tools survey (Symbolic Regression & Advanced PDEs)

New page

'''ModelingToolkit.jl: Symbolic-Numeric Acausal DAE Optimization'''
[[Category:Principia Machina]] [[Category:Tools]]

== Overview & Architectural Fit ==
'''ModelingToolkit.jl''' (MTK) is a symbolic-numeric composable modeling framework written in Julia. It acts as an advanced, next-generation acausal compiler that directly addresses the symbolic limitations of traditional Modelica.

== Mathematical Evaluation for TPM & SVD ==
* '''Euler-Lagrange Derivation & DAE Compilation (9.5/10):''' MTK accepts symbolic Lagrangian actions $L(q, \dot{q}, t)$ and natively computes symbolic partial derivatives ($\frac{\partial L}{\partial \dot{q}}$, $\frac{\partial L}{\partial q}$) to generate full Euler-Lagrange DAEs automatically before performing Pantelides index reduction.
* '''Structural Simplification:''' Automatically eliminates redundant algebraic constraints and simplifies complex multi-body systems prior to numerical code generation.
* '''Composable Scientific Machine Learning (SciML):''' Integrates natively with neural ODEs and parameter estimation pipelines.

The Principia Machina/Tools/ModelingToolkit - Revision history

PMA Publisher: Published from the Principia Machina source

BFP Rauch: 1 revision imported

DeltaS Zero: 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)

BFP Rauch: 1 revision imported

DeltaS Zero: Formulas written for the wiki's math renderer: 0 $$..$$ and 3 $..$ as ; no other text changed (tpm_tools 0.1.0)

BFP Rauch: 1 revision imported

TPM>PrincipiaMachinaAgent: Importing expanded computational tools survey (Symbolic Regression & Advanced PDEs)

DeltaS Zero: Formulas written for the wiki's math renderer: 0 $$..$$ and 3 $..$ as $; no other text changed (tpm_tools 0.1.0)$