Results 101 to 110 of about 601,821 (236)

Convergence of Gaussian Quadrature Formulas

Journal of Approximation Theory, 2000
Classical Gaussian formulas are well known. They construct a polynomial interpolating in the zeros of a polynomial orthogonal with respect to a positive measure \(\alpha\) and the integral of this polynomial is a quadrature formula for \(\int f(x) d\alpha(x)\) with maximal polynomial degree of exactness.
openaire   +2 more sources

SPHERICAL BESSEL FUNCTIONS AND EXPLICIT QUADRATURE FORMULA

, 1997
An evaluation of the derivative of spherical Bessel functions of order n + 1/2 at its zeros is obtained.
Clément Frappier, Frappier, Clément, Riadh Ben Ghanem, Ghanem Ben, Riadh   +3 more
core   +1 more source

Symmetric Hermite Quadrature‐Based Balanced Truncation for Learning Linear Dynamical Systems From Derivative Data

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Data‐driven reduced‐order modeling is an essential component in the computer‐aided design of control systems. In this work, we present a novel symmetric Hermite formulation of the quadrature‐based balanced truncation algorithm that constructs linear reduced‐order models from evaluations of the full‐order system's transfer function and its ...
Sean Reiter, Steffen W. R. Werner
wiley   +1 more source

A Finite‐Strain Phase‐Field‐Regularized Elastoplastic Damage Model for Polypropylene

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT A rotation‐free finite‐strain phase‐field‐regularized elastoplastic damage formulation is presented for the tensile failure simulation of polypropylene (PP). The bulk response is represented by a hyperelastic–isotropic–plastic material branch formulated in a corotated intermediate configuration.
Tiansheng Liu, Martin Giersberg, Hakan Çelik, Christian Hopmann, Jaan‐Willem Simon   +4 more
wiley   +1 more source

Simpson’s quadrature formula for third differentiable and s-convex functions

Boundary Value Problems
This study establishes Newton-type inequalities for third differentiable and s-convex functions that use the Riemann integral. New Newton-type inequalities are also introduced using a summation parameter p ≥ 1 $p\geq 1$ for various convexity cases.
Bouharket Benaissa, Noureddine Azzouz, Mehmet Zeki Sarikaya   +2 more
doaj   +1 more source

On Multiparameter Post-Quantum Fractional Quadrature Inequalities with Simulation

Fractal and Fractional
This paper introduces a comprehensive class of multiparameter post-quantum fractional quadrature inequalities, unifying classical error bounds within the setting of the post-quantum Riemann–Liouville fractional integral.
Sobia Rafeeq, Sabir Hussain, Mariyam Aslam, Youngsoo Seol   +3 more
doaj   +1 more source

Sharp Integral Inequalities Based on a General Four-Point Quadrature Formula via a Generalization of the Montgomery Identity

International Journal of Mathematics and Mathematical Sciences, 2012
We consider families of general four-point quadrature formulae using a generalization of the Montgomery identity via Taylor’s formula. The results are applied to obtain some sharp inequalities for functions whose derivatives belong to 𝐿𝑝 spaces ...
J. Pečarić, M. Ribičić Penava
doaj   +1 more source

Simultaneous Optimization of Design Layout and Material Properties in Reinforced Concrete Structures

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The sustainable transformation of the building sector requires the design of mechanically efficient civil engineering structures, the consideration of material properties in the design layout plays an important role in this context. Steel‐reinforced concrete is an anisotropic bi‐material composite, which represents one of the most popular ...
Daniela Masarczyk, Minh Tuan Tran, Detlef Kuhl   +2 more
wiley   +1 more source

A quadrature formula for entire functions of exponential type

, 1994
A quadrature formula over a semi-infinite interval for entire functions of exponential type is established. An alternative approach to a known expansion formula and an extension of it are also presented.
Qazi Ibadur Rahman, Gerhard Schmeisser
core   +1 more source

Finite Viscoelastic Modeling of Ice Shelves Using Glen's Flow Law and Depth‐Dependent Material Properties

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Ice shelves are floating seaward extensions of glaciers that form where land‐based ice flows into the ocean. Recent observations suggest that their mechanical behavior is suitably described by a viscoelastic Maxwell model, as this framework captures both the instantaneous elastic response and the time‐dependent viscous flow of ice.
Marvin Koßler, Sebastian Skatulla, Angelika Humbert, Ralf Müller, Jörg Schröder   +4 more
wiley   +1 more source