Results 61 to 70 of about 1,054,196 (331)

Revisit Sparse Polynomial Interpolation based on Randomized Kronecker Substitution

, 2018
In this paper, a new reduction based interpolation algorithm for black-box multivariate polynomials over finite fields is given. The method is based on two main ingredients.
A Arnold, A Arnold, A Cuyt, DP Dubhashi, DY Grigoriev, EL Kaltofen, J Gathen, JM Pollard, M Avendaño, M Giesbrecht, MA Nielsen, MDA Huang, N Alon, R Zippel, R Zippel, S Garg, Y Mansour, YN Lakshman   +17 more
core   +1 more source

Regular polynomial interpolation and approximation of global solutions of linear partial differential equations [PDF]

, 2007
We consider regular polynomial interpolation algorithms on recursively defined sets of interpolation points which approximate global solutions of arbitrary well-posed systems of linear partial differential equations.
Kampen, Joerg
core   +4 more sources

Contractive Multivariate Zipper Fractal Interpolation Functions

Results in Mathematics
In this paper we introduce a new general multivariate fractal interpolation scheme using elements of the zipper methodology. Under the assumption that the corresponding Read-Bajraktarevic operator is well-defined, we enlarge the previous frameworks ...
R. Miculescu, R. Pasupathi
semanticscholar   +1 more source

Counterexample-Guided Polynomial Loop Invariant Generation by Lagrange Interpolation

, 2015
We apply multivariate Lagrange interpolation to synthesize polynomial quantitative loop invariants for probabilistic programs. We reduce the computation of an quantitative loop invariant to solving constraints over program variables and unknown ...
A Chakarov, A Dolzmann, A Dolzmann, A Gupta, A Gupta, A McIver, C Boor De, CAR Hoare, D Kozen, EW Dijkstra, F Gretz, F Gretz, J Hartog Den, J-P Katoen, JW Eaton, L Moura de, M Uslar, MA Colón, MO Rabin, P Cousot, PJ Olver, RW Floyd, S Sankaranarayanan, T Sauer   +23 more
core   +1 more source

Multivariate interpolation

, 2009
The aim of this work is to show how symbolic computation can be used to perform multivariate Lagrange, Hermite and Birkhoff interpolation and help us to build more realistic interpolating functions. After a theoretical introduction in which we analyze the complexity of the method we shall focus our attention on applications.
Jara, Pascual, Jodar, Joaquin, Merino, Luis, Ruiz, Juan F.   +3 more
openaire   +2 more sources

Solvability of multivariate interpolation

Journal für die reine und angewandte Mathematik (Crelles Journal), 1989
An ordinary polynomial interpolation scheme is described by the admissible polynomials \(P(x)=\sum_{i\in S}a_ ix^ i\), \(x=(x_ 1,...,x_ s)\), \(i=(i_ 1,...,i_ s)\), \(s\geq 2\), where S is a lower set of lattice points i, and by the knot sets \(A_ q\subset S\), \(q=1,...,m\), which give the orders \(\alpha \in A_ q\) of the derivatives \(\partial P ...
openaire   +2 more sources

Multivariate Interpolation Functions of Higher-Order q-Euler Numbers and Their Applications

Abstract and Applied Analysis, 2008
The aim of this paper, firstly, is to construct generating functions of q-Euler numbers and polynomials of higher order by applying the fermionic p-adic q-Volkenborn integral, secondly, to define multivariate q-Euler zeta function (Barnes-type Hurwitz q ...
Hacer Ozden, Ismail Naci Cangul, Yilmaz Simsek   +2 more
doaj   +1 more source

Spatial Distribution of Water Quality in Welang, Gembong and Rejoso Rivers, Pasuruan, East Java, Indonesia

Geography, Environment, Sustainability, 2023
A river is a naturally formed freshwater stream that traverses land and eventually flows into a lake, sea, or another body of water. River provides fresh water for human activities such as irrigation for their paddy fields, aquaculture, industrial ...
A. Darmawan, E. Y. Herawati, A. M. Filhiyam, E. S. Arinda, Z. S. Wijanarko   +4 more
doaj   +1 more source

Microbial profile of the appendix niche in acute appendicitis: a novel sampling approach

FEBS Open Bio, EarlyView.
This study utilized a novel sampling method, ERAT (i.e. endoscopic retrograde appendicitis treatment)‐guided lumen aspiration, to obtain samples from the appendix, and shotgun metagenomic sequencing was performed for in situ characterization of the appendix microbiome in patients with acute appendicitis.
Huimin Ma, Mingfei Wang, Yanhu Feng, Wanqi Zhang, Wenbo Wang, Yanfeng Xie, Guixiang Kong, Jie Feng, Pengfei Wang, Qi Wang, Xiaojun Huang   +10 more
wiley   +1 more source

Sparse multivariate polynomial interpolation in the basis of Schubert polynomials

, 2016
Schubert polynomials were discovered by A. Lascoux and M. Sch\"utzenberger in the study of cohomology rings of flag manifolds in 1980's. These polynomials generalize Schur polynomials, and form a linear basis of multivariate polynomials.
Mukhopadhyay, Priyanka, Qiao, Youming
core   +1 more source