Results 21 to 30 of about 2,178,860 (334)

C1 convexity-preserving piecewise variable degree rational interpolation spline

Journal 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
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Bivariate spline interpolation with optimal approximation order [PDF]

, 2001
Let be a triangulation of some polygonal domain f c R2 and let S9 (A) denote the space of all bivariate polynomial splines of smoothness r and degree q with respect to A.
A. Kh. Ibrahim, A. Zeníšek, C. Boor de, C. Boor de, C. Boor de, C. Coatmélec, C. K. Chui, C. K. Chui, C. K. Chui, D. Hong, F. Jeeawock-Zedek, F. Zeilfelder, G. Nürnberger, G. Nürnberger, G. Nürnberger, G. Nürnberger, G. Nürnberger, G. Nürnberger, G. Nürnberger, G. Strang, J. M. Carnicer, J. Morgan, L. L. Schumaker, M. J. Lai, O. Davydov, O. Davydov, O. Davydov, O. Davydov, O. Davydov, P. G. Ciarlet, Z. Sha, Z. Sha   +31 more
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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
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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
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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
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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
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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, Carlos Sánchez-López, Rocío Ochoa-Montiel, Delia Torres-Muñoz, Carlos Manuel Hernández-Mejía, Luis Abraham Sánchez-Gaspariano, Hugo Gustavo González-Hernández   +6 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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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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