Results 61 to 70 of about 294,528 (197)

On the Domain of Divergence of Hermite–Fejér Interpolating Polynomials

Journal of Approximation Theory, 2000
Let \(f\) be a continuous function on \([-1,1]\) and let \((x_k^{(n) })_{1 \leq k\leq n}(n\in\mathbb{N})\) be a point system on \([-1,1]\) with \(x_\ell^{(n)}< x_{\ell+1}^{(n)}\) for all \(1\leq\ell\leq n-1\). The Hermite-Fejér interpolating polynomials \(H_{2n-1}\) (of degree \(2n-1)\) of this point system for \(f\) are defined by \(H_{2n-1} (x_k^{(n)}
Brutman, L., Gopengauz, I., Vértesi, P.
openaire   +2 more sources

Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver

International Journal for Numerical Methods in Fluids, Volume 98, Issue 7, Page 804-839, July 2026.
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley   +1 more source

On Hermite interpolation with polynomial splines on T-meshes

Journal of Computational and Applied Mathematics, 2013
Hermite interpolation using polynomial splines on T-meshes is discussed in detail, leading to an error bound for interpolation of smooth functions.
Larry L. Schumaker, Lujun Wang
openaire   +2 more sources

Performance Assessment of the Immersed Boundary Method in the Framework of the Moment Representation Lattice Boltzmann Method

International Journal for Numerical Methods in Fluids, Volume 98, Issue 7, Page 857-870, July 2026.
The immersed boundary method (IBM) was coupled with the moment representation lattice Boltzmann method (MR‐LBM), reducing bandwidth requirements compared to population‐based LBM formulations. A systematic assessment of IBM parameters was conducted to quantify their effect on computational performance.
Marco A. Ferrari, Ricardo de Souza, Admilson T. Franco   +2 more
wiley   +1 more source

Interpolating Polynomial

, 2016
The interpolating polynomial is the polynomial of degree n-1 that goes through all n points. Move the points-or change the number of points-and see how the polynomial changesComponente Curricular::Educação Superior::Ciências Exatas e da Terra ...
Wolfram, Stephen
core   +2 more sources

Structural Evolution of the Gaggiano High: A Preserved Rift‐Related Structural High in the Western Po Plain (Italy)

Tectonics, Volume 45, Issue 7, July 2026.
Abstract The Gaggiano High, buried beneath the sediments of the Western Po Plain (northern Italy), represents one of the few examples of Mesozoic structural highs largely preserved within a foreland–foredeep system. Unlike the adjacent Lacchiarella Basin, which underwent strong positive inversion during the Neogene, the Gaggiano High experienced only ...
M. Mercuri, L. Spaggiari, A. P. Amodio, S. Bigi, A. Corrao, C. Doglioni, F. Trippetta, E. Carminati   +7 more
wiley   +1 more source

Interpolating Polynomial

, 2011
The interpolating polynomial is the polynomial of degree n-1 that goes through all n points. Move the points-or change the number of points-and see how the polynomial changesComponente Curricular::Educação Superior::Ciências Exatas e da Terra ...
Wolfram, Stephen
core   +2 more sources

A Numerical Method Combining Cubic Interpolated Propagation and Shifted Grünwald–Letnikov for Fractional Advection–Dispersion Equations

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 8, Page 3546-3557, 10 June 2026.
ABSTRACT Recent advances in the numerical solution of fractional partial differential equations have yielded promising results. In particular, the Shifted Grünwald–Letnikov (SGL) approach allows for a generalization of the traditional finite difference method to the context of fractional differential equations.
Pedro Victor Serra Mascarenhas, André Luís Brasil Cavalcante   +1 more
wiley   +1 more source

Wavelength Calibration of Linear Array Spectrometers Using Cubic Hermite Spline Interpolation

Applied Spectroscopy Practica
Wavelength calibration of linear array spectrometers is conventionally performed by fitting a polynomial function of pixels to calibration data consisting of spectral lines with known wavelengths and their pixel locations. Alternatively, a multiparameter
Julia Federizo, Edgar Genio
doaj   +1 more source

Advancing Heliophysics and Space Weather Modeling Through Open Science

Space Weather, Volume 24, Issue 6, June 2026.
Abstract We present a community‐wide effort to develop a strategy and action plan to advance heliophysics and space weather modeling through open science. While open science has the potential to enhance the quality and pace of scientific discovery, its application to scientific modeling requires more careful consideration regarding open data and open ...
C. Corti, M. M. Kuznetsova, M. A. Reiss, J. Yue, J. Karpen, C. N. Arge, F. Bacchini, C. Bard, S. Bruinsma, R. M. Caplan, L. K. S. Daldorff, P. J. Deka, C. R. DeVore, S. Elvidge, N. Ganushkina, J. D. Huba, B. V. Jackson, V. Jordanova, J. A. Linker, H. Liu, J. G. Luhmann, S. Markidis, P. Mayank, V. Merkin, N. Moens, D. Odstrcil, Y. A. Omelchenko, M. Palmroth, S. Poedts, A. J. Ridley, Y. Shou, V. Tenishev, D. R. Themens, G. Toth, W. Wang, R.‐P. Wilhelm, M. A. Young, B. Cecconi, M.‐Y. Chou, D. De Zeeuw, G. L. Delzanno, C. Didigu, M. El Alaoui, S. Fung, J. Green, Z. Huang, L. K. Jian, L. J. Landwer, M. Lesko, P. MacNeice, A. Masson, M. L. Mays, P. M. Mehta, M. S. Miesch, E. Palmerio, M. Petrenko, E. Provornikova, L. Rastätter, L. Rusaitis, N. Sachdeva, E. Samara, D. Sur, A. Taktakishvili, J. Topper, T. Tsui, C. Verbeke, J. Wang, C. Wiegand, M. Wiltberger, Y. Zheng, M. M. Bisi, M. K. Georgoulis, T. Kodikara, T. Pulkkinen, A. Chartier, D. da Silva, A. Faturahman, K. Garcia‐Sage, D. Kondrashov, V. E. Ledvina, W. Liu, C. Pandey, E. Resnick, C. Shi, R. S. Weigel, K. Whitman, I. Zakharenkova, K. Zhang   +87 more
wiley   +1 more source