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Record W4224238666 · doi:10.37394/232021.2022.2.5

A Fifth-Order-Accurate Finite Difference Scheme for a Natural Coordinate System with Non-Uniform Grid

2022· article· en· W4224238666 on OpenAlex
I. Gadoura, M. H. Hamdan

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueEQUATIONS · 2022
Typearticle
Languageen
FieldEngineering
TopicAdvanced Numerical Methods in Computational Mathematics
Canadian institutionsUniversity of New Brunswick
Fundersnot available
KeywordsCurvilinear coordinatesFinite difference schemeComputationScheme (mathematics)Finite differenceCoordinate systemGridMathematicsFinite difference methodRegular gridMathematical analysisFinite difference coefficientApplied mathematicsCartesian coordinate systemGeometryFinite element methodAlgorithmPhysicsMixed finite element method

Abstract

fetched live from OpenAlex

A fifth-order accurate finite difference scheme for the first derivative in von Mises coordinates is developed in this work. The scheme is tested in the computation of boundary vorticity in the study of two-dimensional flow of a viscous fluid in a curvilinear channel. Results obtained show an improvement in the computed solution over fourth-order accurate scheme

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: Simulation or modeling
GenreCandidate signal: Methods · Consensus signal: none
Teacher disagreement score0.530
Threshold uncertainty score0.568

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.029
GPT teacher head0.285
Teacher spread0.256 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it