Feautrier method
E236569
The Feautrier method is a numerical technique used in radiative transfer to stably and accurately solve second-order differential equations for the radiation field in stellar atmospheres and similar media.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Feautrier method canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T2126381 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Feautrier method Context triple: [Schwarzschild–Milne equations, solutionMethods, Feautrier method]
-
A.
Darwin–Fowler method
The Darwin–Fowler method is a statistical mechanics technique that uses complex analysis and generating functions to derive distribution laws for systems of many particles.
-
B.
Gundersen method
The Gundersen method is a timing-based system in Nordic combined that converts ski jumping results into staggered start times for the cross-country race so that the first athlete to finish wins overall.
-
C.
Halley’s method for solving equations
Halley’s method for solving equations is an iterative numerical algorithm, related to and faster-converging than Newton’s method, used to find approximate roots of equations.
-
D.
Milstein method
The Milstein method is a numerical scheme for solving stochastic differential equations that improves on the Euler–Maruyama method by including derivative terms of the diffusion coefficient for higher accuracy.
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E.
Gauss–Seidel method
The Gauss–Seidel method is an iterative numerical technique used to solve systems of linear equations, particularly in large, sparse problems arising in scientific and engineering computations.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Feautrier method Target entity description: The Feautrier method is a numerical technique used in radiative transfer to stably and accurately solve second-order differential equations for the radiation field in stellar atmospheres and similar media.
-
A.
Darwin–Fowler method
The Darwin–Fowler method is a statistical mechanics technique that uses complex analysis and generating functions to derive distribution laws for systems of many particles.
-
B.
Gundersen method
The Gundersen method is a timing-based system in Nordic combined that converts ski jumping results into staggered start times for the cross-country race so that the first athlete to finish wins overall.
-
C.
Halley’s method for solving equations
Halley’s method for solving equations is an iterative numerical algorithm, related to and faster-converging than Newton’s method, used to find approximate roots of equations.
-
D.
Milstein method
The Milstein method is a numerical scheme for solving stochastic differential equations that improves on the Euler–Maruyama method by including derivative terms of the diffusion coefficient for higher accuracy.
-
E.
Gauss–Seidel method
The Gauss–Seidel method is an iterative numerical technique used to solve systems of linear equations, particularly in large, sparse problems arising in scientific and engineering computations.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
finite-difference method
ⓘ
numerical method ⓘ radiative transfer method ⓘ |
| advantageOver | formal first-order integration methods in optically thick regimes ⓘ |
| appliesTo |
continuum transfer problems
ⓘ
line transfer problems ⓘ plane-parallel stellar atmospheres ⓘ spherically symmetric stellar atmospheres ⓘ |
| assumes | static medium in its basic formulation ⓘ |
| basedOn | second-order form of the radiative transfer equation ⓘ |
| canBeExtendedTo | moving media with velocity fields ⓘ |
| developedBy | Paul Feautrier NERFINISHED ⓘ |
| field |
astrophysics
ⓘ
radiative transfer ⓘ stellar atmosphere modelling ⓘ |
| hasCharacteristic |
handles large optical depths
ⓘ
handles strong scattering ⓘ highly accurate ⓘ numerically stable ⓘ suitable for optically thick media ⓘ symmetric formulation of the transfer equation ⓘ |
| input |
opacity
ⓘ
optical depth grid ⓘ scattering albedo ⓘ source function ⓘ |
| namedAfter | Paul Feautrier NERFINISHED ⓘ |
| output |
mean intensity
ⓘ
radiation intensity ⓘ radiative flux ⓘ |
| publicationCentury | 20th century ⓘ |
| relatedTo |
discrete ordinate methods
ⓘ
long-characteristics method ⓘ short-characteristics method ⓘ |
| solves | boundary value problems in radiative transfer ⓘ |
| usedFor |
computing flux of radiation
ⓘ
computing intensity distribution in stellar atmospheres ⓘ computing mean intensity of radiation ⓘ computing source function in radiative transfer ⓘ solving radiative transfer equation ⓘ solving second-order differential equations for the radiation field ⓘ |
| usedIn |
modeling of accretion disks
ⓘ
modeling of stellar spectra ⓘ modeling of supernova atmospheres ⓘ non-LTE radiative transfer calculations ⓘ stellar atmosphere codes ⓘ |
| uses |
discretization of optical depth
ⓘ
finite-difference approximation of derivatives ⓘ tridiagonal matrix system ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Feautrier method Description of subject: The Feautrier method is a numerical technique used in radiative transfer to stably and accurately solve second-order differential equations for the radiation field in stellar atmospheres and similar media.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.