A Novel Finite-Difference Solution of the Time- Domain Wave Equation with a Stability Criterion Relaxed from Mesh Sizes in Two Directions
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Bibliographic record
Abstract
This paper presents a novel finite-difference solution of the time-domain three-dimensional (3-D) Maxwell equations with a stability criterion relaxed from the discretization space steps in two directions. This method is particularly useful and efficient for electromagnetic simulation of structures having fine details in two Cartesian directions. During the algorithm iteration process, updating of only the electric field is required. In comparison to other Weakly Conditional FDTD (WCS-FDTD) algorithms, the proposed method is shown to be computationally more efficient in terms of run time because the implicit updating equations can be solved simultaneously (in parallel) by applying multithreading; while in the earlier WCS-FDTD methods, simultaneous solution of the implicit updating equations was not feasible. The high computational efficiency and accuracy of the proposed method is demonstrated by producing a numerical example and providing comparison to the results obtained using methods available in the literature.
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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) | 0.001 | 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