Results 11 to 20 of about 369,812 (312)

High-order accuracy approximation for the two-point boundary value problem of the fourth order with degenerate coefficients

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2017
The paper deals with the construction of high-order accuracy finite element schemes for the fourth-order ordinary differential equation with degenerate coefficients on the boundary.
A.A. Sobolev, M.R. Timerbaev
doaj   +1 more source

Saddle point approximation to Higher order [PDF]

open access: yesVojnotehnički Glasnik, 2022
Introduction/purpose: Saddle point approximation has been considered in the paper Methods: The saddle point method is used in several different fields of mathematics and physics.
Nicola Fabiano, Nikola Mirkov
doaj   +1 more source

On the Approximation Ratio of Ordered Parsings [PDF]

open access: yesIEEE Transactions on Information Theory, 2021
Shannon's entropy is a clear lower bound for statistical compression. The situation is not so well understood for dictionary-based compression. A plausible lower bound is $b$, the least number of phrases of a general bidirectional parse of a text, where phrases can be copied from anywhere else in the text.
Gonzalo Navarro 0001   +2 more
openaire   +3 more sources

Conservative Finite-Difference Schemes for Two Nonlinear Schrödinger Equations Describing Frequency Tripling in a Medium with Cubic Nonlinearity: Competition of Invariants

open access: yesMathematics, 2021
Two 1D nonlinear coupled Schrödinger equations are often used for describing optical frequency conversion possessing a few conservation laws (invariants), for example, the energy’s invariant and the Hamiltonian.
Vyacheslav Trofimov, Maria Loginova
doaj   +1 more source

Construction of a family of non-stationary combined ternary subdivision schemes reproducing exponential polynomials

open access: yesOpen Mathematics, 2021
In this paper, we propose a family of non-stationary combined ternary (2m+3)\left(2m+3)-point subdivision schemes, which possesses the property of generating/reproducing high-order exponential polynomials.
Zhang Zeze, Zheng Hongchan, Pan Lulu
doaj   +1 more source

On the Approximability of Digraph Ordering [PDF]

open access: yesAlgorithmica, 2015
Given an n-vertex digraph D = (V, A) the Max-k-Ordering problem is to compute a labeling $\ell : V \to [k]$ maximizing the number of forward edges, i.e. edges (u,v) such that $\ell$(u) < $\ell$(v). For different values of k, this reduces to Maximum Acyclic Subgraph (k=n), and Max-Dicut (k=2).
Sreyash Kenkre   +3 more
openaire   +2 more sources

The use of pseudoresiduals in the study of convergence of unstable difference boundary value problems for linear nonhomogeneous ordinary second-order differential equations

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022
The paper considers the previously proposed method of numerical integration using the matrix calculus in the study of boundary value problems for nonhomogeneous linear ordinary differential equations of the second order with variable coefficients ...
Vladimir N. Maklakov
doaj   +1 more source

Consistent Approximation of Fractional Order Operators [PDF]

open access: yesJournal of Dynamic Systems, Measurement, and Control, 2021
Abstract Fractional order controllers become increasingly popular due to their versatility and superiority in various performances. However, the bottleneck in deploying these tools in practice is related to their analog or numerical implementation.
Yiheng Wei   +3 more
openaire   +2 more sources

Body-Ordered Approximations of Atomic Properties [PDF]

open access: yesArchive for Rational Mechanics and Analysis, 2022
AbstractWe show that the local density of states (LDOS) of a wide class of tight-binding models has a weak body-order expansion. Specifically, we prove that the resulting body-order expansion for analytic observables such as the electron density or the energy has an exponential rate of convergence both at finite Fermi-temperature as well as for ...
Jack Thomas   +2 more
openaire   +2 more sources

A method for increasing the order of approximation to an arbitrary natural number by the numerical integration of boundary value problems for inhomogeneous linear ordinary differential equations of various degrees with variable coefficients by the matrix method

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
The paper includes the well-known matrix method of numerical integration of boundary value problems for inhomogeneous linear ordinary differential equations with variable coefficients, which provides retaining an arbitrary number of Taylor series ...
Vladimir Nikolaevich Maklakov
doaj   +1 more source

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