Group Theory and Numerical Analysis
Bibliographic record
Abstract
Continuous extension of the discrete cosine transform, and its applications to data processing by A. M. Atoyan and J. Patera Symbolic algorithms for the Painleve test, special solutions, and recursion operators for nonlinear PDEs by D. Baldwin, W. Hereman, and J. Sayers Continuum limit of lattice approximation schemes by C. M. Bender Algebraic structures on ordered rooted trees and their significance to Lie group integrators by H. Berland and B. Owren Aspects of generalized double-bracket flows by A. M. Bloch and A. Iserles Eulerian and semi-Lagrangian schemes based on commutator-free exponential integrators by E. Celledoni Second order linear ODEs: Two non-Liouvillian approaches by E. S. Cheb-Terrab On rational solutions of the fourth Painleve equation and its Hamiltonian by P. A. Clarkson Comparison of symmetry preserving difference schemes with standard numerical methods by C. Cyr-Gagnon Symbolic computation of polynomial conserved densities, generalized symmetries, and recursion operators for nonlinear differential-difference equations by W. Hereman, J. A. Sanders, J. Sayers, and J. P. Wang On the numerical analysis of rapid oscillation by A. Iserles On conservation properties of semidiscrete canonical Hamiltonian equations by R. Kozlov Discrete Lie symmetries for difference equations by D. Levi and M. A. Rodriguez Trivializations, factorizations, and geometric integration for pseudo-rigid bodies by D. Lewis Towards a variational complex for the finite element method by E. L. Mansfield and G. R. W. Quispel Models of resonantly driven motion of motor proteins in 2D potentials by J. Middleton and J. A. Tuszynski Determination of approximate symmetries of differential equations by J. Bonasia, F. Lemaire, G. Reid, R. Scott, and L. Zhi Discrete and finite fractional Fourier transform by K. B. Wolf Some nanotube-like systems and their discrete equations by W. J. Zakrzewski Explicit multipoint rational interpolation Pade table for exponential and power functions by A. Zhedanov.
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 imitationNot 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.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.004 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.002 | 0.002 |
| Science and technology studies | 0.001 | 0.004 |
| Scholarly communication | 0.003 | 0.003 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.009 | 0.002 |
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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
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".