Sur la résolution efficace d'équations aux dérivées partielles en mécanique des fluides multiphasique et imagerie médicale
Bibliographic record
Abstract
This work is divided into four parts. The first three parts, as a common base, aim at adapting a finite volume scheme (VFFC) to various situations, in order to get a better efficiency for the numerical simulation of complex flows. The first part deals with the efficient numerical simulation of a falling block of liquid in a gas pocket, and proposes a new model to combine previous work for associating precision of results and computational efficiency. The second part aims at the establishment of a general AMR (Adaptive Mesh Refinement) scheme for resolution by finite volumes of non-conservative systems. The purpose of the third part is the dynamic coupling of two models representing more or less finely a given physical system. Finally, in any other area where the efficiency of solving partial differential equations is of great importance too, the fourth part deals with the problem of optical flow in imaging - i.e. the research of a displacement field from several successive images - and deepens an existing method (Horn and Schunck method) from a practical and theoretical perspective.
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.
How this classification was reachedexpand
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 | 0.004 | 0.007 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.001 | 0.002 |
| Open science | 0.002 | 0.000 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".