Results 61 to 70 of about 33,431,346 (225)
Hydrodynamic-type systems describing 2-dimensional polynomially integrable geodesic flows
, 2016 Starting from a homogeneous polynomial in momenta of arbitrary order we extract multi-component hydrodynamic-type systems which describe 2-dimensional geodesic flows admitting the initial polynomial as integral.
Manno, Gianni, Pavlov, Maxim V.
core +1 more source
Computer program to determine roots of polynomials by ratio of successive derivatives [PDF]
, 1973 High speed computing finds roots of polynomials with real number coefficients. Ratios of successive polynomial derivatives approach provides accurate roots-of-polynomial computer programs with very high reliability.
Crouse, J. E., Putt, C. W.
core +1 more source
, 2008 A method to derive stationary solutions of the relativistic Vlasov-Maxwell system is explored. In the non-relativistic case, a method using the Hermite polynomial series to describe the deviation from the Maxwell-Boltzmann distribution is found to be ...
Akihiro Suzuki, Gray A., Paczynski B.
core +1 more source
Optics Express, 2014 An algorithm is presented for the calculation of the Kramers-Kronig transform of a spectrum via a piecewise Laurent polynomial method. This algorithm is demonstrated to be highly accurate, while also being computationally efficient.
B. Watts
semanticscholar +1 more source
The Polynomial Method for Random Matrices [PDF]
Foundations of Computational Mathematics, 2007 We define a class of "algebraic" random matrices. These are random matrices for which the Stieltjes transform of the limiting eigenvalue distribution function is algebraic, i.e., it satisfies a (bivariate) polynomial equation. The Wigner and Wishart matrices whose limiting eigenvalue distributions are given by the semi-circle law and the Marcenko ...
Rao, N. Raj, Edelman, Alan
openaire +3 more sources
Boubaker Wavelets Functions: Properties and Applications
مجلة بغداد للعلوم, 2021 This paper is concerned with introducing an explicit expression for orthogonal Boubaker polynomial functions with some important properties. Taking advantage of the interesting properties of Boubaker polynomials, the definition of Boubaker wavelets on ...
Suha N. Shihab +2 more
doaj +1 more source
Numerical solution of the first order nonlinear differen-tial equations with the mixed nonlinear conditions by using PLSM(comparison with Bernstein polynomials method) [PDF]
ITM Web of Conferences, 2019 We use the Polynomial Least Squares Method (PLSM), which allows us to compute analytical approximate polynomial solutions for nonlinear ordinary differential equations with the mixed nonlinear conditions.
Lăpădat Marioara +2 more
doaj +1 more source
On polynomial solutions of Heun equation
, 2004 By making use of a recently developed method to solve linear differential equations of arbitrary order, we find a wide class of polynomial solutions to the Heun equation.
Bhaduri R K +10 more
core +1 more source
Orthogonal Polynomials in Stein's Method
Journal of Mathematical Analysis and Applications, 2001 The paper systematically develops a relationship between the classical families of orthogonal polynomials and Stein's method as applied to the distributions in the Pearson and Ord families, that was also discussed by \textit{P. Diaconis} and \textit{S. Zabell} [Stat. Sci. 6, No. 3, 284-302 (1991)].
openaire +1 more source
On $hp$-Convergence of PSWFs and A New Well-Conditioned Prolate-Collocation Scheme
, 2013 The first purpose of this paper is to provide a rigorous proof for the nonconvergence of $h$-refinement in $hp$-approximation by the PSWFs, a surprising convergence property that was first observed by Boyd et al [J. Sci. Comput., 2013].
Wang, Li-Lian +2 more
core +1 more source