Results 1 to 10 of about 369,812 (312)

Approximation order and approximate sum rules in subdivision [PDF]

Journal of Approximation Theory, 2016
Several properties of stationary subdivision schemes are nowadays well understood. In particular, it is known that the polynomial generation and reproduction capability of a stationary subdivision scheme is strongly connected with sum rules, its convergence, smoothness and approximation order.
CONTI, COSTANZA, Romani, Lucia, Yoon, Jungho   +2 more
core   +7 more sources

Numerical integration by the matrix method and evaluation of the approximation order of difference boundary value problems for non-homogeneous linear ordinary differential equations of the fourth order with variable coefficients

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
The use of the second degree Taylor polynomial in approximation of derivatives by finite difference method leads to the second order approximation of the traditional grid method for numerical integration of boundary value problems for non-homogeneous ...
Vladimir Nikolaevich Maklakov, Mariya Aleksandrovna Ilicheva   +1 more
doaj   +1 more source

Approximate Partial Order Reduction [PDF]

, 2018
We present a new partial order reduction method for reachability analysis of nondeterministic labeled transition systems over metric spaces. Nondeterminism arises from both the choice of the initial state and the choice of actions, and the number of executions to be explored grows exponentially with their length.
Chuchu Fan, Zhenqi Huang, Sayan Mitra 0001   +2 more
openaire   +2 more sources

Second order approximations for limit order books [PDF]

Finance and Stochastics, 2018
In this paper we derive a second order approximation for an infinite dimensional limit order book model, in which the dynamics of the incoming order flow is allowed to depend on the current market price as well as on a volume indicator (e.g.~the volume standing at the top of the book).
Ulrich Horst, Dörte Kreher
openaire   +3 more sources

Estimation of the order of the matrix method approximation of numerical integration of boundary-value problems for the second order inhomogeneous linear ordinary differential equations

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
Using the first three terms of Taylor expansion of the required function in the approximate derivative by finite differences leads to the second order approximation of the traditional numerical quadrature method of boundary value problems for linear ...
Vladimir N Maklakov
doaj   +1 more source

On the order of approximation in approximative triadic decompositions of tensors

Theoretical Computer Science, 1989
Based on \textit{A. Alder's} result [Grenzrang und Grenzkomplexität aus algebraischer und topologischer Sicht, Dissertation, Univ. Zürich (1984)] on the equivalence of algebraic and topological border rank of tensors t over algebraically closed ground fields k, the author gives an upper bound for the order of approximation in approximative triadic ...
Thomas Lehmkuhl, Thomas Lickteig
openaire   +1 more source

Numerical integration by the matrix method of boundary value problems for linear inhomogeneous ordinary differential equations of the third order with variable coefficients

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018
The use of the Taylor polynomial of the second degree when approximating the derivatives by finite differences leads to the second order of approximation of the traditional method of nets in the numerical integration of second-order ordinary differential
Vladimir N Maklakov, Yanina G Stelmakh
doaj   +1 more source

Order reduction of matrix exponentials by proper orthogonal decomposition

Results in Applied Mathematics, 2023
Many applications of the matrix exponential exp(At) of a real matrix A and a real parameter t require repeated evaluation of it for different values of t.
Mohammad Dehghan Nayyeri, Mohammad Alinejadmofrad   +1 more
doaj   +1 more source

The best uniform quadratic approximation of circular arcs with high accuracy

Open Mathematics, 2016
In this article, the issue of the best uniform approximation of circular arcs with parametrically defined polynomial curves is considered. The best uniform approximation of degree 2 to a circular arc is given in explicit form.
Rababah Abedallah
doaj   +1 more source

High order approximation of degree nine and order eighteen

Journal of Inequalities and Applications, 2019
In this paper, a method to approximate curves by polynomials of degree nine is presented. The resulting approximation has order eighteen. The method is applied to approximate a circular arc, and the error function is studied and characterized, and its ...
Abedallah Rababah
doaj   +1 more source