Results 51 to 60 of about 284 (125)

Efficient Tensor Completion Algorithms for Highly Oscillatory Operators

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT We address the problem of recovering highly oscillatory operators, represented as n×n$$ n\times n $$ matrices with a fixed set of observed entries. Given that these matrices can be well compressed by butterfly matrix decomposition of L=𝒪(logn) levels requiring only O(nlogn)$$ O\left(n\log n\right) $$ degrees of freedom, we propose a novel ...
Navjot Singh, Edgar Solomonik, Xiaoye Sherry Li, Yang Liu   +3 more
wiley   +1 more source

Finite‐Block Polynomial and Volterra Structure in Reservoir Computing

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT Reservoir computing is analyzed through the algebraic structure generated by finite‐width reservoirs on fixed input blocks. For linear and quadratic logistic activations, the induced input‐to‐state map admits an exact finite Volterra representation, yielding an explicit characterization of the associated hypothesis class.
Alfio Borzì
wiley   +1 more source

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
wiley   +1 more source

Randomized Algorithms for Streaming Low‐Rank Approximation in Tree Tensor Network Format

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT In this work, we present the tree tensor network Nyström (TTNN), an algorithm that extends recent research on streamable tensor approximation, such as for Tucker and tensor‐train formats, to the more general tree tensor network format, enabling a unified treatment of various existing methods.
Alberto Bucci, Gianfranco Verzella
wiley   +1 more source

Bianchi I Spacetimes in f(Q)‐Gravity

Fortschritte der Physik, Volume 74, Issue 8, August 2026.
ABSTRACT The Kasner spacetimes are exact solutions that are self‐similar and of significant interest because they can describe the dynamic evolution of kinematic variables near the singularity of the Mixmaster universe. The chaotic behavior of the Mixmaster universe is related to the Kasner relations.
Andronikos Paliathanasis, Genly Leon
wiley   +1 more source

Boundary‐Only Weak Deflection by Regular Black Holes, Black‐Bounces, Wormholes, and Static Quadrupolar Spacetimes

Fortschritte der Physik, Volume 74, Issue 8, August 2026.
ABSTRACT We apply the boundary‐only isothermal formulation of finite‐distance weak gravitational deflection to regular black holes, black‐bounces, traversable wormholes, non‐asymptotically flat backgrounds, and static quadrupolar spacetimes. The methodological advance is not a new value for a known bending angle.
Reggie C. Pantig, Ali Övgün
wiley   +1 more source

Intrinsic Shape LDA With Application to Body Human Shapes Classification

Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 4, August 2026.
ABSTRACT Advancements in 3D scanning and cloud infrastructure enable the acquisition and analysis of high‐density body surface datasets. In this work, we propose a novel methodology that extends linear discriminant analysis (LDA) to Kendall's shape space for the classification of 3D objects, specifically human body shapes.
Jorge Valero, Vicent Gimeno i Garcia, M. Victoria Ibáñez, Amelia Simó   +3 more
wiley   +1 more source

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, Michael Prime, Jeffrey Bunn, Andrew Payzant, Katharine Page   +4 more
wiley   +1 more source

A Matrix‐Free, Scalable, and Robust Implicit Material Point Method

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT An implicit material point method is presented using a new dynamic relaxation solver, allowing for a simple and efficient quasi‐static formulation that may be readily implemented in existing explicit‐dynamic codes. The use of dynamic relaxation and aggregation is shown to produce an extremely robust material point method scheme, with good ...
Sam J. V. Sutcliffe, William M. Coombs, Wangcheng Zhang, Ravindra Duddu, Giuliano Pretti, Charles E. Augarde   +5 more
wiley   +1 more source

Surface and Boundary Corrections in Peridynamics Using Optimized Nodal Influence Weights

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT Peridynamics (PD), similarly to some other nonlocal continuum theories, exhibits truncated interaction horizons near free surfaces, cracks, and voids in bounded domains. This loss of neighbors causes artificial surface effects and inconsistencies in the derivative and energy operators that persist under discretization refinement, limiting PD ...
Arman Shojaei, Greta Ongaro, Alexander Hermann, Stewart A. Silling, Patrizia Trovalusci, Christian J. Cyron   +5 more
wiley   +1 more source