Results 71 to 80 of about 5,337 (195)

On the Hermite interpolation polynomial

Journal of Approximation Theory, 1984
An elementary inductive proof of the Hermite interpolation polynomial is presented. The proof is constructive, i.e., it gives a method for determining the interpolation polynomial. A numerical example is given.
openaire   +2 more sources

Hermite interpolation by piecewise polynomial surfaces with polynomial area element [PDF]

Computer Aided Geometric Design, 2017
This paper is devoted to the construction of polynomial 2-surfaces which possess a polynomial area element. In particular we study these surfaces in the Euclidean space $\mathbb R^3$ (where they are equivalent to the PN surfaces) and in the Minkowski space $\mathbb R^{3,1}$ (where they provide the MOS surfaces).
Bizzarri, Michal, Lávička, Miroslav, Šír, Zbyněk, Vršek, Jan   +3 more
openaire   +4 more sources

Quantum Dust Cores of Black Holes and Their Quasi‐Normal Modes

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
We investigate the quasi‐normal mode spectrum of a gravitationally collapsed ball of dust, considering both a linear and a refined parabolic effective mass function for the quantum core. Furthermore, we account for the quantum leakage of dust particles outside the horizon.
T. Bambagiotti, L. Gallerani, A. Mentrelli, A. Giusti, R. Casadio   +4 more
wiley   +1 more source

Dynamical Techniques for Analyzing Iterative Schemes with Memory

Complexity, 2018
We construct a new biparametric three-point method with memory to highly improve the computational efficiency of its original partner, without adding functional evaluations.
Neha Choubey, A. Cordero, J. P. Jaiswal, J. R. Torregrosa   +3 more
doaj   +1 more source

On Nonlinear Oscillations: Basins of Attraction, Harmonic Balance Solution Artifacts and Urabe's Existence Criterion for the Duffing Oscillator

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 4, April 2026.
ABSTRACT The Duffing oscillator is often considered as “the” prototype of a nonlinear oscillator as it exhibits many characteristic phenomena of nonlinear dynamics. One of these phenomena is the occurrence of multiple periodic solutions as considered here for the case of the harmonically excited slightly damped Duffing oscillator.
Hannes Dänschel, Lukas Lentz, Nils Gräbner, Utz von Wagner   +3 more
wiley   +1 more source

Numerical approximations for population growth model by Rational Chebyshev and Hermite Functions collocation approach: A comparison

, 2010
This paper aims to compare rational Chebyshev (RC) and Hermite functions (HF) collocation approach to solve the Volterra's model for population growth of a species within a closed system.
Al-Khaled, Boyd, Boyd, Boyd, Boyd, Boyd, Christov, Coulaud, Funaro, Funaro, Guo, Guo, Guo, Guo, Guo, Guo, Guo, Guo, Iranzo, Liu, Maday, Marzban, Momani, Parand, Parand, Parand, Parand, Parand, Parand, Parand, Parand, Ramezani, Scudo, Shen, Shen, Shen, Shen, Siyyam, Small, Tang, TeBeest, Wazwaz, Xu   +42 more
core   +1 more source

Sensitivity analysis of spacecraft in micrometeoroids and orbital debris environment based on panel method

Defence Technology, 2023
To reduce the risk of mission failure caused by the MM/OD impact of the spacecraft, it is necessary to optimize the design of the spacecraft. Spacecraft survivability assessment is the key technology in the optimal design of spacecraft.
Di-qi Hu, Run-qiang Chi, Yu-yan Liu, Bao-jun Pang   +3 more
doaj   +1 more source

Generalizations of Sherman's inequality by Hermite's interpolating polynomial [PDF]

Mathematical Inequalities & Applications, 2016
Generalizations of Sherman's inequality for convex functions of higher order are obtained by applying Hermite's interpolating polynomials. The results for particular cases, namely, Lagrange, (m, n-m) and two-point Taylor interpolating polynomials are also cosidered. The Grüss and Ostrowski type inequalities related to these generalizations are given.
Khan, M. Adil, Bradanović, S. Ivelić, Pečarić, J.   +2 more
openaire   +3 more sources

Modeling Soil Organic Carbon Changes Using Signal‐To‐Noise Analysis: A Case Study Using European Soil Survey Datasets

Global Change Biology, Volume 32, Issue 4, April 2026.
This conceptual illustration underpins the Signal‐to‐Noise Ratio (SNR) framework proposed in the study to assess SOC change detectability using repeated Soil Organic Carbon (SOC) observations, Machine Learning and Earth Observation data. Using a simple simulated time series, the figure summarizes the two modelling approaches evaluated in this study ...
Xuemeng Tian, Sytze de Bruin, Florian Schneider, Martin Herold, Kirsten de Beurs   +4 more
wiley   +1 more source

An adaptive scheme for the optimization of damping positions by decoupling controllability spaces in vibrational systems

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 3, March 2026.
Abstract In this work, the problem of optimizing damper positions in vibrational systems is investigated. The objective is to determine the positions of external dampers in such a way that the influence of the input on the output is minimized. The energy response serves as an optimization criterion, whose computation involves solving Lyapunov equations.
J. Przybilla, M. Ugrica Vukojević, N. Truhar, P. Benner   +3 more
wiley   +1 more source