Results 91 to 100 of about 23,143 (202)

A fifth order block methods for solving second-order stiff ordinary differential equations using trigonometric functions and polynomial function as the basis function

African Scientific Reports
The numerical solution of second-order ordinary differential equations (ODEs) is examined in this work through a four-step linear multistep method. It employs a combination of trigonometric and polynomial functions as the approximate solution to the ...
Opoyemi O. Enoch, Catherine O. Alakofa
doaj   +1 more source

Construction of Basis Functions for Finite Element Methods in a Hilbert Space

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
The present work is devoted to construction of the optimal interpolation formula exact for trigonometric functions sin(ωx) and cos(ωx). Here the analytical representations of the coefficients of the optimal interpolation formula in a certain Hilbert ...
Hayotov, A.R., Doniyorov, N.N.
doaj   +1 more source

The Quasi-Cubic Trigonometric Cardinal Spline With Local Shape Adjustability

Journal of Mathematics
The cubic Cardinal spline curve is a fundamental tool in the field of interpolation curve design. However, the cubic Cardinal spline curve cannot adjust its shape locally through the free parameters, and it struggles to accurately represent common ...
Juncheng Li, Shanjun Liu, Chengzhi Liu
doaj   +1 more source

HARMONIC INTERPOLATING WAVELETS IN NEUMANN BOUNDARY VALUE PROBLEM IN A CIRCLE

Ural Mathematical Journal, 2019
The Neumann boundary value problem (BVP) in a unit circle is discussed. For the solution of the Neumann BVP, we built a method employing series representation of given \(2 \pi\)-periodic continuous boundary function by interpolating wavelets consisting ...
Dmitry A. Yamkovoi
doaj   +1 more source

Hybrid Time-Base Device for Coherent Sampling Oscilloscope

Measurement Science Review, 2019
In this paper, a hybrid time-base (HTB) device for the coherent sampling oscilloscope is presented. The HTB device makes it possible to reduce the uncertainty of determining the time position of the sample in the horizontal channel of the sampling ...
Tankeliun Tomas, Zaytsev Oleg, Urbanavicius Vytautas   +2 more
doaj   +1 more source

On some constants in simultaneous approximation

International Journal of Mathematics and Mathematical Sciences, 1995
Pointwise estimates for the error which is feasible in simultaneous approximation of a function and its derivatives by an algebraic polynomial were originally pursued from theoretical motivations, which did not immediately require the estimation of the ...
K. Balázs, T. Kilgore
doaj   +1 more source

New Frequency-Dependent Trigonometric Interpolation Functions for the Dynamic Finite Element Analysis of Thin Rectangular Plates

Shock and Vibration, 2018
The Dynamic Finite Element (DFE) formulation is a superconvergent, semianalytical method used to perform vibration analysis of structural components during the early stages of design. It was presented as an alternative to analytical and numerical methods
Supun Jayasinghe, Seyed M. Hashemi
doaj   +1 more source

Cubature formula and interpolation on the cubic domain

, 2008
Several cubature formulas on the cubic domains are derived using the discrete Fourier analysis associated with lattice tiling, as developed in \cite{LSX}.
Li, Huiyuan, Sun, Jiachang, Xu, Yuan
core   +1 more source

Quasi-interpolants Based on Trigonometric Splines

Journal of Approximation Theory, 1998
In this paper the authors develop a general theory of quasi-interpolants based on trigonometric splines. Although the analysis is parallel to the familiar treatment of quasi-interpolants based on polynomial splines, the details are complicated because of the nature of trigonometric splines.
Lyche, Tom, Schumaker, Larry L., Stanley, Sonya   +2 more
openaire   +1 more source

Utilizing Trigonometric Bézier Curves for Reconstructing Arabic Calligraphy: Interpolating Quasi-Quartic and Quasi-Quintic Curves

Journal of Computing Research and Innovation
As technology continues to advance, Computer Aided Geometric Design (CAGD) is gaining popularity as a mathematical method for generating curves and surfaces.
Noor Khairiah Razali, Athirah Hanani Mohd Fauzi   +1 more
doaj   +1 more source