Results 71 to 80 of about 17,709,774 (182)

Sequential Outlier Detection in Nonstationary Time Series

open access: yesJournal of Time Series Analysis, EarlyView.
ABSTRACT A novel method for sequential outlier detection in nonstationary time series is proposed. The method tests the null hypothesis of “no outlier” at each time point, addressing the multiple testing problem by bounding the error probability of successive tests, using extreme‐value theory. The asymptotic properties of the test statistic are studied
Florian Heinrichs   +2 more
wiley   +1 more source

Representation by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first, third and fourth kinds

open access: yesAdvances in Difference Equations, 2019
The classical linearization problem concerns with determining the coefficients in the expansion of the product of two polynomials in terms of any given sequence of polynomials.
Taekyun Kim   +3 more
doaj   +1 more source

Data‐Driven Spectral Prediction for Accelerating Large‐Scale Electronic Structure Calculations

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Simulating large molecular systems comprising thousands of atoms requires highly scalable methodologies. While modern Density Functional Theory (DFT) codes exhibit linear scaling, solving the associated large, sparse generalized eigenproblems remains a critical computational bottleneck on exascale architectures.
Abhiram Badrinarayanan   +6 more
wiley   +1 more source

Chebyshev polynomial approximation to approximate partial differential equations [PDF]

open access: yes
This pa per suggests a simple method based on Chebyshev approximation at Chebyshev nodes to approximate partial differential equations. The methodology simply consists in determining the value function by using a set of nodes and basis functions.
Guglielmo Maria Caporale, Mario Cerrato
core  

Dynamics of small bubble interface perturbations in vertical hele‐shaw cell with magnetic liquid under the action of normal magnetic field

open access: yesMathematical Modelling and Analysis, 2004
A linearized problem of dynamics for small perturbations of the gas bubble rising in the Hele‐Shaw cell filled with magnetic liquid is considered. It is reduced to searching of eigenvalues and eigenfunctions for a linear operator with periodic boundary ...
T. Cirulis, O. Lietuvietis, A. Cēbers
doaj   +1 more source

Beyond Directions: Symmetry‐Aware Rotation Sets for Triaxial Diffusion Encoding by Geometric Filter Optimization

open access: yesMagnetic Resonance in Medicine, Volume 96, Issue 5, Page 2489-2504, November 2026.
ABSTRACT Purpose To improve the accuracy of diffusion‐weighted powder average signals for diffusion encoding with arbitrary b‐tensors. Methods We identify an intrinsic dihedral (D2) symmetry of diffusion signals for arbitrary diffusion encoding, which defines their natural signal space (a quotient of 3D rotations). Based on this, we propose a method to
Sune Nørhøj Jespersen   +1 more
wiley   +1 more source

Intelligent Distributed Optical Fiber Sensing in Transportation Infrastructures: Research Progress, Applications, and Challenges

open access: yesAdvanced Photonics Research, Volume 7, Issue 10, October 2026.
Distributed optical fiber sensing (DOFS) is reviewed as a transformative technology for intelligent monitoring of transportation infrastructures. Advances in sensing fibers, cable design, and data analytics are summarized alongside representative field applications.
Xin Gui   +11 more
wiley   +1 more source

Out-of-plane vibrations of curved nonprismatic beam under a moving load

open access: yesJournal of Civil Engineering and Management, 2012
The forced vibrations of a curved-in-plane nonprismatic beam with a variable cross section and any curvature, generated by a load moving at a variable velocity are analyzed.
Małgorzata Meissner, Piotr Ruta
doaj   +1 more source

TrustSpec: Simulation‐Grounded Physics‐Driven Spectral Inversion With Uncertainty Quantification for SiC Epitaxial Thickness Metrology

open access: yesEngineering Reports, Volume 8, Issue 10, October 2026.
TrustSpec reuses a single spectral digital twin both to train a deep ensemble and to verify each prediction via analysis‐by‐synthesis. A two‐channel trust plane automatically releases, reviews, or rejects every SiC epitaxial thickness reading, achieving 0.110 μm mean error with full out‐of‐distribution rejection in simulation.
Zijie Nie, Shunlin Yang, Qingjie Guo
wiley   +1 more source

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