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Towards the Development of an Unconditionally Stable Time-Domain Meshless Method

2010· article· en· 75 citations· W2078778560 on OpenAlex· 10.1109/tmtt.2010.2040343

Why is this work in the frame?

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

Canadian affiliationAn author listed a Canadian institution. This is the only route the usual frame has.

Full frame distilled prediction

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.

Candidate categories
none
Consensus categories
none
Domain
Candidate signal: noneConsensus signal: none
Study design
Candidate signal: Bench or experimentalConsensus signal: Bench or experimental
Genre
Candidate signal: MethodsConsensus signal: Methods
Teacher disagreement score
0.265
Threshold uncertainty score
0.565
Validation status
machine_predicted_unvalidated · codex-gemma-dda1882f352a

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0020.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
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)

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

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.

Opus teacher head0.010
GPT teacher head0.267
Teacher spread
0.257 · how far apart the two teachers sit on this one work
Validation status
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

Abstract

<para xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> In this paper, an unconditionally stable mesheless method is proposed with the implementation of the leapfrog alternating-direction-implicit scheme in the 3-D radial point interpolation meshless method. The unconditional stability of the proposed method is analytically proven and numerically verified. The accuracy and efficiency of the method are assessed through experiments. Compared with the conventional radial interpolation method, the computational cost can be saved by 85% with little sacrifice of accuracy. The principle presented in this paper can be extended to other existing meshless methods in developing other types of the unconditionally stable meshless methods. </para>

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.

The record

Venue
IEEE Transactions on Microwave Theory and Techniques
Topic
Numerical methods in engineering
Field
Engineering
Canadian institutions
Dalhousie University
Funders
not available
Keywords
Interpolation (computer graphics)Regularized meshless methodStability (learning theory)Applied mathematicsMeshfree methodsComputer sciencePoint (geometry)Domain (mathematical analysis)Mathematical optimizationSingular boundary methodAlgorithmMathematicsMathematical analysisFinite element methodArtificial intelligencePhysicsGeometry
Has abstract in OpenAlex
yes