An Unconditionally Stable Laguerre-Based S-MRTD Time-Domain Scheme
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Bibliographic record
Abstract
A time-domain method that combines the scaling function-based multiresolution time domain (S-MRTD) technique with a Laguerre polynomial-based time-integration scheme is formulated, applied, and evaluated in this letter. The motivation for this work stems from the fact that the disadvantages of each of these two techniques can be compensated for by the strength of the other. Namely, while S-MRTD suffers from a reduced Courant number than the finite difference time domain (FDTD), the use of the Laguerre time-integration renders it unconditionally stable. In turn, Laguerre-FDTD is an implicit method, based on matrix inversion. The coarse gridding that S-MRTD allows for leads to significant reduction in the size of this matrix. Specific numerical experiments indicate the improved performance of this Laguerre-S-MRTD approach, compared to its two constituent techniques and thus its significant potential as a novel time-domain solver.
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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) | 0.000 | 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.
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