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Record W292382557 · doi:10.1090/noti1617

Nonstandard Finite Difference Schemes

2017· article· en· W292382557 on OpenAlexfundno aff
Ronald E. Mickens

Bibliographic record

VenueNotices of the American Mathematical Society · 2017
Typearticle
Languageen
FieldPhysics and Astronomy
TopicModel Reduction and Neural Networks
Canadian institutionsnot available
FundersAir Force Institute of TechnologyUniversity of Colorado DenverUniversity of California, Santa BarbaraCollege of Engineering, Michigan State UniversityUniwersytet Marii Curie-SkłodowskiejUniversidad de MurciaUniversität WienÉcole Polytechnique Fédérale de LausanneGeorge Fox UniversityUniversity of South AlabamaDivision of Mathematical SciencesKent State UniversitySaint Louis UniversityYoungstown State UniversityPacific Northwest National LaboratoryUniversità degli Studi di SalernoIdaho State UniversitySwarthmore CollegeCollege of CharlestonWest Virginia UniversityIowa State UniversityUniversity of South FloridaUniversity of AkronGeorgia State UniversityUniversity of Louisiana at LafayetteCoastal Carolina UniversityWellesley CollegeUniversity of CincinnatiPennsylvania State UniversityClemson UniversityGrand Valley State UniversityUniversity of DenverUniversity of Nebraska-LincolnUniversity of Notre DameSonoma State UniversityUniversity of WyomingLouisiana State UniversityUniversity of Southern CaliforniaUniversity of OklahomaUniversity of PittsburghUniversity of Central FloridaUniversity of WashingtonUniversity of California, IrvineUniversity of DaytonMichigan State UniversityAuburn UniversitySouth Dakota State UniversityWilliams CollegeBaylor UniversityUniversity of RochesterVirginia Polytechnic Institute and State UniversityUniversity of CanterburyCase Western Reserve UniversityUniversity of MinnesotaWichita State UniversityCity University of New YorkOhio State UniversityWake Forest UniversityUniversity of PennsylvaniaRice UniversityGeorgia Institute of TechnologySan Diego State UniversityUniversity of TorontoWashington and Lee UniversityTechnische Universität KaiserslauternPortland State UniversityTulane UniversityArizona State UniversityUniversity of OregonBrown UniversityUniversity of Wisconsin-MadisonWestern Carolina UniversityOregon State UniversityUniversity of MiamiCalifornia State University, FresnoSiemens HealthineersEastern Kentucky UniversityU.S. Naval AcademyUniversity of North Carolina at Chapel HillWayne State UniversityUniversity of California, San DiegoUniversity of Southern MississippiUniversity of WaterlooBrigham Young UniversityRowan UniversityTemple UniversityPurdue UniversityOhio Wesleyan UniversityGeorgia Southern UniversityPitzer CollegeVanderbilt UniversityCentral Washington UniversityMassachusetts Institute of Technology
KeywordsMathematicsFinite differenceApplied mathematicsCalculus (dental)Mathematical analysisMedicine

Abstract

fetched live from OpenAlex

of the American Mathematical SocietyAll of us, wherever we are, can celebrate together here in this issue of Notices the San Diego Joint Mathematics Meetings.Our lecture sampler includes for the first time the AMS-MAA-SIAM Hrabowski-Gates-Tapia-McBay Lecture, this year by Talithia Williams on the new PBS series NOVA Wonders.After the sampler, other articles describe modeling the heart, Dürer's unfolding problem (which remains open), gerrymandering after the fall Supreme Court decision, a story for Congress about how geometry has advanced MRI, "My Father André Weil" (2018 is the 20th anniversary of his death), and a profile on Donald Knuth and native script by former Notices Senior Writer and Deputy Editor Allyn Jackson.It is with some sadness and much appreciation that I report that Allyn, after over 30 years at the AMS, is moving on to other activities.The editors have found it an honor and privilege to work with her and wish her every happiness in whatever lies ahead; don't miss the appreciation on page 58.

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 machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.005
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.019
Threshold uncertainty score0.063

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0010.005
Meta-epidemiology (narrow)0.0010.000
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0010.001
Science and technology studies0.0010.002
Scholarly communication0.0020.002
Open science0.0010.002
Research integrity0.0010.003
Insufficient payload (model declined to judge)0.0190.006

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 head0.023
GPT teacher head0.293
Teacher spread0.270 · 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 source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreMethods

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

Citations16
Published2017
Admission routes1
Has abstractyes

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