Convergence des méthodes particulaires renormalisées pour les systèmes de Friedrichs
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Bibliographic record
Abstract
Nous présentons une étude des schémas particulaires renormalisés. La renormalisation est une technique introduite afin de corriger le défaut de consistance caractéristique des méthodes particulaires de type SPH. Un schéma conservatif, le schéma faible renormalisé, est construit à partir de la formulation faible des lois de conservation générales. Nous appliquons ce schéma aux systèmes de Friedrichs. Le schéma faible renormalisé étant instable, nous procédons à l'introduction d'une viscosité numérique avant d'appliquer une discrétisation en temps de type Euler explicite, et ainsi obtenir le schéma numérique dont nous démontrons la convergence en norme <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> .
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Full frame distilled prediction
Teacher imitationNot 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.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.005 | 0.001 |
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.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it