Results 21 to 30 of about 369,812 (312)

C1 convexity-preserving piecewise variable degree rational interpolation spline

open access: yesJournal of Advanced Mechanical Design, Systems, and Manufacturing, 2020
An explicit expression of a C1 piecewise variable degree rational interpolation spline is developed, which produces a convex (concave) interpolant to given convex (concave) data directly.
Lianyun PENG, Yuanpeng ZHU
doaj   +1 more source

Stability, instability, and error of the force-based quasicontinuum approximation [PDF]

open access: yes, 2009
Due to their algorithmic simplicity and high accuracy, force-based model coupling techniques are popular tools in computational physics. For example, the force-based quasicontinuum (QCF) approximation is the only known pointwise consistent quasicontinuum
Luskin, Mitchell Barry   +5 more
core   +1 more source

Rational Approximations of Arbitrary Order: A Survey

open access: yesFractal and Fractional, 2021
This paper deals with the study and analysis of several rational approximations to approach the behavior of arbitrary-order differentiators and integrators in the frequency domain.
José Daniel Colín-Cervantes   +6 more
doaj   +1 more source

Approximate Derivations of Order n [PDF]

open access: yesActa Mathematica Hungarica, 2014
The aim of this paper is to prove characterization theorems for higher order derivations. Among others we prove that the system defining higher order derivations is stable. Further characterization theorems in the spirit of N.~G.~de Bruijn will also be presented.
openaire   +2 more sources

Model Order Reduction by Using Improved Approximation Techniques

open access: yesScientific Journal of King Faisal University: Basic and Applied Sciences, 2020
A simplified approach for model order reduction (MOR) is presented in this article using the balanced singular perturbation approximation (BSPA) approach applicable to large-scale linear dynamical (LSLD) systems.
Santosh Kumar Suman, Awadhesh Kumar
doaj   +1 more source

On Local and Controlled Approximation Order

open access: yesJournal of Approximation Theory, 1993
The authors deal with approximations to smooth functions by objects which are essentially discrete convolutions. The purpose is to get error estimates for approximation power of dilates of these convolutions in terms of the dilation parameter \(h\).
Halton, E.J., Light, W.A.
openaire   +1 more source

Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems [PDF]

open access: yes, 2006
We develop the convergence analysis of discontinuous Galerkin finite element approximations to second-order quasilinear elliptic and hyperbolic systems of partial differential equations of the form, respectively, $-\sum_{\alpha=1}^d \partial_{x_\alpha ...
Suli, Endre   +5 more
core   +1 more source

Convergence of the matrix method of numerical integration of the boundary value problems for linear nonhomogeneous ordinary differential second order equations with variable coefficients

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
The problems of stability and convergence of previously proposed matrix method of numerical integration of boundary value problems with boundary conditions of the first, second and third kinds of nonhomogeneous linear ordinary differential second order ...
Vladimir N Maklakov
doaj   +1 more source

Direct Estimate for Some Operators of Durrmeyer Type in Exponential Weighted Space

open access: yesDemonstratio Mathematica, 2014
In the present paper, we investigate the convergence and the approximation order of some Durrmeyer type operators in exponential weighted space. Furthermore, we obtain the Voronovskaya type theorem for these operators.
Krech Grażyna, Wachnicki Eugeniusz
doaj   +1 more source

Two approximation methods for fractional order Pseudo-Parabolic differential equations

open access: yesAlexandria Engineering Journal, 2022
In this study, fractional order pseudo-parabolic partial differential equation defined by Caputo derivative is investigated with initial-boundary conditions. Modified double Laplace decomposition method is used to find the exact solution of this equation.
Mahmut. Modanli   +4 more
doaj   +1 more source

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