The Principia Machina/Tools/FiPy - Revision history

PMA Publisher: Published from the Principia Machina source

2026-10-15T19:34:04Z

Published from the Principia Machina source

← Older revision		Revision as of 19:34, 15 October 2026
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			{{DISPLAYTITLE:FiPy}}
	'''FiPy: Finite Volume Phase-Field & Conservation PDE Solver'''		'''FiPy: Finite Volume Phase-Field & Conservation PDE Solver'''
	[[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#FIPY09\|FIPY09]]''' – Guyer, J. E., Wheeler, D., Warren, J. A. (2009). FiPy: Partial Differential Equations with Python. Computing in Science & Engineering 11(3), 6–15. [https://doi.org/10.1109/MCSE.2009.52 doi:10.1109/MCSE.2009.52].		* '''[[The Principia Machina/Research Toolkit/Bibliography#FIPY09\|FIPY09]]''' – Guyer, J. E., Wheeler, D., Warren, J. A. (2009). FiPy: Partial Differential Equations with Python. Computing in Science & Engineering 11(3), 6–15. [https://doi.org/10.1109/MCSE.2009.52 doi:10.1109/MCSE.2009.52].

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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	== Strategic Role in SVD ==		== Strategic Role in SVD ==
	FiPy provides the continuous flux-conserving simulation layer for evaluating vacuum phase transitions and scalar-vector field couplings.		FiPy provides the continuous flux-conserving simulation layer for evaluating vacuum phase transitions and scalar-vector field couplings.

			== 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#FIPY09\|FIPY09]]''' – Guyer, J. E., Wheeler, D., Warren, J. A. (2009). FiPy: Partial Differential Equations with Python. Computing in Science & Engineering 11(3), 6–15. [https://doi.org/10.1109/MCSE.2009.52 doi:10.1109/MCSE.2009.52].

BFP Rauch: 1 revision imported

2026-09-26T22:17:21Z

1 revision imported

← 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

'''FiPy: Finite Volume Phase-Field & Conservation PDE Solver'''
[[Category:Principia Machina]] [[Category:Tools]]

== Overview & Architectural Fit ==
'''FiPy''' is an open-source, object-oriented finite volume PDE solver developed in Python by the National Institute of Standards and Technology (NIST). It is engineered specifically for coupled, non-linear partial differential equations, phase-field models, and advection-diffusion-reaction dynamics.

== Mathematical Evaluation for TPM & SVD ==
* '''Conservation Law Enforcement (9.0/10):''' By utilizing the finite volume method (FVM), FiPy guarantees strict cell-by-cell numerical conservation of physical fluxes (charge, energy, momentum), directly upholding conservation laws required by Noether's theorems.
* '''Implicit & Explicit Coupled Solvers:''' Seamlessly handles stiff coupled non-linear PDE systems through underlying linear solvers (Trilinos, SciPy, PyAMG).
* '''Phase-Field Mechanics:''' Ideal for modeling continuous vacuum state transitions, domain walls, and topological field boundaries.

== Strategic Role in SVD ==
FiPy provides the continuous flux-conserving simulation layer for evaluating vacuum phase transitions and scalar-vector field couplings.