Results 121 to 130 of about 5,678 (257)

Quantitative asymptotics for polynomial patterns in the primes

Mathematika, Volume 72, Issue 3, July 2026.
Abstract We prove quantitative estimates for averages of the von Mangoldt and Möbius functions along polynomial progressions n+P1(m),…,n+Pk(m)$n+P_1(m),\ldots, n+P_k(m)$ for a large class of polynomials Pi$P_i$. The error terms obtained save an arbitrary power of logarithm, matching the classical Siegel–Walfisz error term.
Lilian Matthiesen, Joni Teräväinen, Mengdi Wang   +2 more
wiley   +1 more source

Gradient Estimation using Lagrange Interpolation Polynomials [PDF]

, 2003
In this paper we use Lagrange interpolation polynomials to obtain good gradient estimations.This is e.g. important for nonlinear programming solvers.As an error criterion we take the mean squared error.This error can be split up into a deterministic and ...
den Hertog, D., Brekelmans, R.C.M., Hamers, H.J.M., Brekelmans, R.C.M.; id_orcid, Driessen, L.   +4 more
core  

A Data‐Driven Multiscale Scheme for Anisotropic Finite Strain Magneto‐Elasticity

International Journal for Numerical Methods in Engineering, Volume 127, Issue 12, 30 June 2026.
ABSTRACT In this work, we develop a neural network‐based, data‐driven, decoupled multiscale scheme for the modeling of structured magnetically soft magnetorheological elastomers (MREs). On the microscale, sampled magneto‐mechanical loading paths are imposed on a representative volume element containing spherical particles and an elastomer matrix, and ...
Heinrich T. Roth, Philipp Gebhart, Karl A. Kalina, Thomas Wallmersperger, Markus Kästner   +4 more
wiley   +1 more source

Upscaling the Strength Domain of Heterogeneous Cohesive‐Frictional Materials via a General FFT‐Based Limit Analysis Approach

International Journal for Numerical Methods in Engineering, Volume 127, Issue 12, 30 June 2026.
ABSTRACT Limit analysis and yield design provide a well‐defined mathematical framework for upscaling the strength properties of heterogeneous materials. These techniques can be incorporated into an FFT‐based computational micromechanics framework to evaluate the strength of heterogeneous materials, based on images of their microstructure.
Elodie Donval, Matti Schneider
wiley   +1 more source

The Unifying Theory Embraces Lagrange and Sinc Interpolation Functions

, 2009
This chapter is devoted to the mathematics of the Lagrange and Sinc SRE-based interpolation functions. The organization of the text of this chapter is consistent with that of chapters VII, X, and XIV.
Carlo Ciulla
core   +1 more source

Solid Mechanics Segregated Solver Acceleration With Jacobian‐Free Newton‐Krylov

International Journal for Numerical Methods in Engineering, Volume 127, Issue 11, 15 June 2026.
ABSTRACT The segregated algorithm is a common approach for finite volumes solvers in solid mechanics, providing a memory‐efficient and straightforward implementation. Due to the inter‐coupling of the components through the source terms, it suffers from a slow convergence behavior in specific scenarios, such as geometries with significantly uneven ...
Andry Monlon, Alessandro Scolaro, Philip Cardiff, Ivor Clifford, Oskari Pakari, Mathieu Hursin   +5 more
wiley   +1 more source

A Hilbert transform representation of the error in Lagrange interpolation

, 2004
Let Ln[f] denote the Lagrange interpolation polynomial to a function f at the zeros of a polynomial Pn with distinct real zeros. We show thatf−Ln[f]=−PnHeH[f]Pn,where H denotes the Hilbert transform, and He is an extension of it.
Kubayi, D.G, Lubinsky, D.S, D.S Lubinsky, D.G Kubayi   +3 more
core   +1 more source

Passive Shape‐Adaptive Fluidic Interface for Enhanced Skin‐Sensor Coupling in Wearable Devices

Advanced Materials Technologies, Volume 11, Issue 11, 5 June 2026.
This study presents a passive fluidic interface for wearable biosensors that adapts to static and dynamic body shape changes to maintain consistent skin contact. Flexible, fluid‐filled pouches redistribute pressure from high‐load areas to regions requiring improved contact, enhancing signal quality and comfort in a compact, low‐energy design for ...
Natalia Sanchez‐Tamayo, Andrew Akerson, Ehsan Hajiesmaili, Tianshu Liu, Ryan Stull, Jonathan Stewart, Amirhossein Amini   +6 more
wiley   +1 more source

On the divergence of Lagrange interpolation processes

Journal of Numerical Analysis and Approximation Theory, 1984
Not available.
Alexandru-Ioan Mitrea
doaj   +2 more sources

Lagrange Interpolation for Mobile Agent Connection Encryption

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
A new proposed technique for secure agent communication is used to transfer data and instructions between agent and server in the local wireless network.
H. K. Homood
doaj