Results 31 to 40 of about 546 (161)
On the Leibniz formula for divided differences
Journal of Numerical Analysis and Approximation Theory, 2006 We give an identity for the Hermite-Lagrange interpolating polynomial and a short proof of Leibniz-type formula for divided differences in case of coalescing knots.
Mircea Ivan
doaj +2 more sources
A CFD-Based Data-Driven Reduced Order Modeling Method for Damaged Ship Motion in Waves
Journal of Marine Science and Engineering, 2023 A simple CFD-based data-driven reduced order modeling method was proposed for the study of damaged ship motion in waves. It consists of low-order modeling of the whole concerned parameter range and high-order modeling for selected key scenarios ...
Zhe Sun +5 more
doaj +1 more source
Bicubic splines and biquartic polynomials
Open Computer Science, 2016 The paper proposes a new efficient approach to computation of interpolating spline surfaces. The generalization of an unexpected property, noticed while approximating polynomials of degree four by cubic ones, confirmed that a similar interrelation ...
Mino Lukáš +2 more
doaj +1 more source
Short Exon Detection via Wavelet Transform Modulus Maxima. [PDF]
PLoS ONE, 2016 The detection of short exons is a challenging open problem in the field of bioinformatics. Due to the fact that the weakness of existing model-independent methods lies in their inability to reliably detect small exons, a model-independent method based on
Xiaolei Zhang +6 more
doaj +1 more source
ON THE MODIFIED HERMITE INTERPOLATION POLYNOMIALS
Demonstratio Mathematica, 1982 The author defines \(Q_ n(f,x)\) to be the polynomial of degree \(\leq 2n- 1\) associated with the function \(f(x)\in C^ 1[-1,1]\) satisfying the following interpolatory conditions: (i) \(Q_ n(x_{\nu n},f)=f_{\nu n}\), (ii) \(Q'\!_ n(x_{\nu n},f)=(f_{\nu n}-f_{\nu +1,n})/(x_{\nu n}-x_{\nu +1,n})=\chi_{\nu n}=f'(\xi_{\nu n}) x_{\nu n}
openaire +2 more sources
On interpolation polynomials of the Hermite-Fejér type II [PDF]
Bulletin of the Australian Mathematical Society, 1981 Given a ŕeal-valued function f on [−1, 1], n ∈ N, and the following partition of [−1, 1[:there exists a unique polynomial R4n−1(f; x) of degree not exceeding 4n − 1 such thatand, for j = 1, 2 and 3,
Goodenough, S. J., Mills, T. M.
openaire +2 more sources
Bivariate Hermite–Birkhoff polynomial interpolation with asymptotic conditions
Journal of Computational and Applied Mathematics, 2000 The authors consider an enlarged interpolation problem by bivariate polynomials on a Newton basis. It consists to add some asymptotic conditions to the usual interpolation conditions; these are conditions on the values of the polynomials and on their directional derivatives at prescribed points.
Carnicer, J.M., Gasca, M.
openaire +2 more sources
HERMITE INTERPOLATION WITH DICKSON POLYNOMIALS AND BERNSTEIN BASIS POLYNOMIALS
Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler, 2023 In this manuscript we introduce three new algorithms: (1) An algorithm to recover an unknown polynomial in terms of Dickson polynomials of the first kind, (2) an algorithm to recover an unknown polynomial in terms Dickson polynomials of the second kind, (3) an algorithm to recover an unknown polynomial in terms of Bernstein basis polynomials, from ...
openaire +2 more sources
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 +3 more
doaj +1 more source
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 +3 more
doaj +1 more source