A three-dimensional spatially filtered FDTD with controllable stability beyond the courant limit
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Bibliographic record
Abstract
It has been recently shown that the stability limit of the Finite-Difference Time-Domain (FDTD) method can be controlled by iterative spatial filtering and extended beyond the conventional Courant-Friedrichs-Lewy limit. However, the trade-off associated with this approach comes from the fact that while the relaxed stability limit allows for the use of a larger time step, spatial filtering is implemented through additional numerical operations. This trade-off manifests itself most significantly in three-dimensional simulations. This paper contributes the algorithmic developments needed for the efficient extension of the spatially filtered FDTD to three-dimensional applications and further demonstrates a three-dimensional late-time stable subgridding scheme based on spatial filtering.
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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 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.003 | 0.000 |
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.
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