Specialty
A computational methods preprint reports robust conditioning for a two-level solver in high-contrast multiscale benchmarks, with a much smaller coarse space in selected time-step regimes.
Scientific publication4 min read
The analysis gives different corruption ceilings for Massart and oblivious noise, then translates them into per-iteration sampling requirements and simulation checks.
Scientific publication4 min read
A mathematical transport study reports strict source-iteration acceleration from a transport-matched diffusion correction, while its approximation discrepancy scales with effective cell Knudsen number.
Scientific publication4 min read
STRATA ranked stocks better than six matched sequence models after style adjustment, but the apparent trading payoff came mainly from an overnight move that preceded the executable session.
Scientific publication6 min read
A computational study reported faster convergence for a new graphene phonon-transport solver, with the biggest gains appearing as conventional iterations slowed at larger length scales.
Scientific publication4 min read
A mathematical preprint develops an unbiased idealized estimator and a two-stage randomized variant, then tests truncated versions on kernels and spectral filters.
Scientific publication5 min read
A numerical study reports that a hybrid solver can reproduce a full finite-element solution exactly in selected cases, but its accuracy depends sharply on how its reduced model is built and which load it sees.
Scientific publication4 min read
An arXiv preprint reports that an extended wave-particle method matched DSMC in cylinder and shock simulations, while its chemical and multispecies scope remains limited.
Scientific publication4 min read
A computational study reports close agreement between AC/DC and projection in several tests, along with discrete conservation properties and an estimated runtime of about 1.3 to 1.4 times a hydrostatic step. A deep-convection case became unstable at lower tested parameter values.
Scientific publication4 min read
A shallow recurrent decoder reconstructed simulated three-dimensional liquid-metal flow fields from sparse, noisy temperature measurements, producing estimates in less than a second after training. Errors were generally low, but some high-field cases produced larger pressure and velocity errors, and the test was limited to a simplified computational model.
Scientific publication4 min read
A numerical study reports that a two-channel finite-element domain-decomposition method needed far fewer GMRES iterations than a Robin baseline across several electromagnetic models while preserving the tested solution accuracy.
Scientific publication4 min read
FABRICA passed 26 of 28 core CUDA-to-CSL tasks, compared with six for a single attempt, while 22 passing programs matched or beat their references.
Scientific publication4 min read
The RWA-PoB prototype linked institutional signatures, backing thresholds and redemption liquidity to token issuance and settlement, but its tests did not verify the truth or completeness of off-chain assets.
Scientific publication4 min read
A preprint model that limits cross-market information to what is available at each forecast origin recorded lower MSE and MAE than a one-market-at-a-time HAR benchmark across all eight markets at one- and five-day horizons, and in seven markets at 22 days.
Scientific publication5 min read
In numerical tests on known reaction networks, a data-trained propagator retained important SSA statistics while using substantially fewer simulation steps than SSA and adaptive tau-leaping.
Scientific publication4 min read
A modeling study proposes a global, six-zone climate classification for photovoltaic modules by combining simulated annual energy yield with simulated module lifetime. It finds different top-ranked climate inputs for the two outcomes, while small changes to feature-importance scores can alter the cluster structure.
Scientific publication3 min read
A 2026 arXiv preprint reports lower time per iteration for HSLM in three synthetic neural-network comparisons, alongside similar final training errors and conditional convergence results.
Scientific publication4 min read
A methods preprint reports nearly constant MINRES counts in a 3D HKNZ test, fewer AMG than ILU iterations in a 3D GLSS test, and failure without preconditioning in a nonsmooth run.
Scientific publication4 min read
A mathematical preprint reports explicit schemes that keep numerical solutions for stochastic differential equations inside a prescribed hypercube while retaining stated strong and weak convergence rates under the paper's assumptions.
Scientific publication4 min read
A mathematical preprint reports a scalar SDE scheme that preserves nonnegativity at every grid point for any time-step and achieves first-order strong convergence when steps are sufficiently small.
Scientific publication4 min read
A theoretical preprint shows that, on fixed grids, endpoint-graph connectivity can characterize unique polynomial reconstruction and support exact formulas for matrix conditioning and diagonalization.
Scientific publication4 min read
A new preprint derives high-probability error bounds for recovering an unknown conductivity from noisy measurements at finitely many scattered points, then tests the framework in synthetic finite-element examples.
Scientific publication4 min read
A numerical study reports that scaled calculations had smaller errors than monic ones, while repeated node removals kept errors near 10−9 to 10−11.
Scientific publication4 min read
A mathematical preprint reports smaller GMRES iteration counts for block-preconditioned solves, while leaving a key variable-coefficient eigenvalue result open.
Scientific publication4 min read
A preprint comparison of four penalties on measured KIT4 EIT data found more spatially coherent localization with smoothed TV and Huber-TV, but none of the four satisfactorily resolved the final difficult two-inclusion configuration.
Scientific publication3 min read
A neural-network surrogate retained lower-contrast accuracy while online multiscale Darcy-flow calculations were much faster, but high-contrast cases exposed major modeling errors.
Scientific publication4 min read
A computational preprint compares three inference protocols across protein-model benchmarks and reports different results alongside a trade-off in inference cost.
Scientific publication3 min read
A mathematical analysis puts two-sided bounds on worst-case sampling and links them to the conditioning and certified iteration counts of weighted least-squares solvers.
Scientific publication4 min read
A constructive mathematical study builds an orthogonal basis for the additively consistent subspace and shows how logarithmic, Saaty and SVD projections are related.
Scientific publication4 min read
A new arXiv preprint reports strong performance differences between two optimization methods in one uncertain PDE test, alongside resource-aware sampling results and scaling limits.
Scientific publication4 min read
A computational methods preprint reports an 11% GPU speedup on one larger benchmark and lower gradient-estimator error in higher-resource CPU configurations, with findings limited to the tested setups.
Scientific publication4 min read
A preprint describes a linear second-order method for matched-density multiphase-flow simulations, reporting an unconditional stability estimate and near-second-order temporal convergence alongside an unregularized cavity case that lost boundedness.
Scientific publication4 min read
A proposed immersed finite-element construction uses a geometric flux-point rule to form locally unisolvent basis functions on general unfitted quadrilateral and hexahedral meshes, with optimal approximation and error estimates and the expected rates in two refinement examples.
Scientific publication3 min read
A mathematical-computing preprint reports much lower average errors on singular and regular p-Laplace benchmarks, while stressing conditional theory and limited tests.
Scientific publication5 min read
A preprint reports a neural-operator method for rapid PDE inverse calculations and closed-form uncertainty quantification supported on a reduced subspace.
Scientific publication3 min read
ROMNet led the learning-based methods across the reported Random-Gaussians, inclusion-probe and GeoFWI comparisons, but direct ROM and an oracle recorded lower errors.
Scientific publication4 min read
A mathematical and computational study reports conditional entropy conservation or stability for moving-wall simulations, while selected tests show expected accuracy and stable numerical evolution.
Scientific publication3 min read
A methods preprint reports a certified interval for the ground-state energy of H2+ and tests how box size and trial spaces affect the enclosure.
Scientific publication3 min read
A proof-based preprint introduces a localized way to evaluate the dimension of polynomial spline spaces over rectangular T-meshes. Its formula and bounds apply to equal-degree, highest-smoothness spaces under explicit mesh conditions, while a worked example shows why geometry can change which bound is reached.
Scientific publication5 min read
A preprint tests a Galerkin projection method for calculating band structures and Chern numbers in periodic-potential regimes, while finite numerical resolution leaves an exact gap closure unconfirmed.
Scientific publication4 min read