Bidiagonal Decompositions and High‐Accuracy Computations for Newton Collocation Matrices
Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.ABSTRACT We consider a class of collocation matrices A$$ A $$ associated with the Newton basis of the space of polynomials of degree at most n$$ n $$, evaluated at a set of l+1≥n+1$$ l+1\ge n+1 $$ nodes. In the most general setting, we allow n$$ n $$ of these nodes to either coincide with or differ from those defining the Newton basis.
E. Mainar, A. Marco, B. Rubio, R. Viaña
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Matrix-Free Inexact Preconditioning Techniques for Isogeometric Tensor-Product Discretizations. [PDF]
J Sci ComputMika MŁ, Hiemstra RR, Schillinger D.
europepmc +1 more source
Using Latent Representations to Link Disjoint Longitudinal Data for Mixed‐Effects Regression
Statistics in Medicine, Volume 45, Issue 18-19, August 2026.ABSTRACT Many rare diseases offer limited established treatment options, leading patients to switch therapies when new medications emerge. To analyze the impact of such treatment switches within the low sample size limitations of rare disease trials, it is important to use all available data sources.
Clemens Schächter +8 more
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Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 4, August 2026.Abstract Precipitation nowcasting refers to the high‐resolution forecasting of rainfall and hydrometeors within 0–6 hr according to the official definition of the World Meteorological Organization, which has relied on numerical models for decades. Recently, artificial intelligence (AI) has shown promise in addressing precipitation nowcasting.
Nan Yang +3 more
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Multimodal graph fusion with statistically guided parsimonious descriptor selection for molecular property prediction. [PDF]
J CheminformJang Y, Lee J, Jeong K, Kim J.
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Sharper Resolution of Arctic Sea Ice Dynamics With Non‐Conforming Finite Elements in FESOM2
Journal of Advances in Modeling Earth Systems, Volume 18, Issue 8, August 2026.Abstract Sea ice dynamics in numerical models are discretized on a spatial grid, with variables defined at grid cell vertices, edges, or centers. The CD‐grid discretization places the velocity vector on element edges and tracers on vertices. On a triangular grid, the number of edges is three times the number of nodes, therefore placing velocity on ...
Jan P. Gärtner, Sergey Danilov
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Tutorial on quantifying and sampling biomolecular ensembles with ShapeGMM. [PDF]
J Chem PhysSasmal S, McCullagh M, Hocky GM.
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Uncovering hidden bias in neutron diffraction residual strain measurements
Journal of Applied Crystallography, Volume 59, Issue 4, Page 991-1004, August 2026.This work demonstrates that diffraction‐based residual strain calculations and uncertainty estimates depend on how grain populations are sub‐sampled, with important implications for interpreting residual stresses in heterogeneous materials with fine‐scale microstructure and strain gradients.When calculating residual strain via neutron or X‐ray ...
Cole Franz +4 more
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A fourth-order exponential time differencing scheme with real and distinct poles rational approximation for solving non-linear reaction-diffusion systems. [PDF]
J Comput Appl MathAttipoe WK +2 more
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Methods in Ecology and Evolution, Volume 17, Issue 8, Page 2510-2523, August 2026.Abstract Ecologists are adapting structural causal modelling for spatial, phylogenetic and time‐series analysis. However, ecological extensions of path analysis and structural equation models (SEM) typically assume that interactions among variables are stationary, linear and additive, while ecological and evolutionary dynamics are often nonstationary ...
James T. Thorson, Kasper Kristensen
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