Results 21 to 30 of about 9,849,612 (295)
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 +1 more
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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
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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
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Approximate Derivations of Order n [PDF]
Acta 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.
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Model Order Reduction by Using Improved Approximation Techniques
Scientific 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
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Rational Approximations of Arbitrary Order: A Survey
Fractal 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
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On Local and Controlled Approximation Order
Journal 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.
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Stability, instability, and error of the force-based quasicontinuum approximation [PDF]
, 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
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Approximation Properties for Orderings on ∗ -Fields [PDF]
Transactions of the American Mathematical Society, 1988 The goal of this paper is to extend the main theorems on approximation properties of the topological space of orderings from formally real fields to skew fields with an involution
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Vestnik 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
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