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Record W2141870550 · doi:10.1109/lmwc.2004.827099

Stability analysis of the CE-FDTD method

2004· article· en· W2141870550 on OpenAlexaff
Changning Ma, Zhizhang Chen

Bibliographic record

VenueIEEE Microwave and Wireless Components Letters · 2004
Typearticle
Languageen
FieldEngineering
TopicElectromagnetic Simulation and Numerical Methods
Canadian institutionsDalhousie University
Fundersnot available
KeywordsFinite-difference time-domain methodStability (learning theory)Limit (mathematics)MathematicsNumerical analysisEnvelope (radar)Numerical stabilityMathematical analysisBounded functionInstabilityUpper and lower boundsTime domainFinite difference methodPhysicsMechanicsOpticsComputer scienceTelecommunications

Abstract

fetched live from OpenAlex

The stability condition is derived for the Complex-Envelope Finite-Difference Time-Domain (FDTD) method. It is shown that the maximum time step allowed for numerical stability is strongly dependent on the carrier frequency and cell sizes. In particular, if the carrier frequency is lower than a threshold value or cell sizes are adequately small, the time step is bounded by an upper limit similar to that with the conventional FDTD. However, if the carrier frequency is higher than the threshold value or the cell sizes are adequately large, the time step is no long a factor affecting the numerical stability. It can be chosen arbitrarily without causing numerical instability. Numerical experiments validate the derived condition.

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 imitation

Not 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.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Bench or experimental · Consensus signal: Bench or experimental
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.145
Threshold uncertainty score0.421

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.001
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

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.

Opus teacher head0.018
GPT teacher head0.247
Teacher spread0.229 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one teacher head, not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designBench or experimental
Domainnot available
GenreEmpirical

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".

Quick stats

Citations6
Published2004
Admission routes1
Has abstractyes

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