The unconditionally-stable cycle-sweep method for 3D FDTD
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Bibliographic record
Abstract
To overcome the Courant limit in the explicit finite-difference time-domain (FDTD) methods, several unconditionally-stable methods have been proposed. This paper presents the cycle-sweep Crank-Nicolson method for solving 3D Maxwell's Equations. The cycle-sweep method is unconditionally stable and 2 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">nd</sup> order accurate in both time and space, and solves only six tridiagonal matrices instead of nine in the approximate-factorization-splitting method we reported previously. The cycle-sweep method is much more efficient than either a direct implementation of the Crank-Nicolson scheme or the approximate-factorization-splitting method.
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Full frame distilled prediction
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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 |
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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