Methods in numerical analysis. Includes: Lagrange interpolation, Chebyshev polynomials for optimal node spacing, iterative techniques to solve linear systems (Gauss-Seidel, Jacobi, SOR), SVD, PCA, and ...

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Abstract: This paper uses interpolation polynomial method to approximate Nonlinear System. The Interpolation polynomial adopted in this methodology is a combination of Lagrange’s interpolation ...

Abstract: This work presents the application of Lagrange interpolation method for a signal reconstruction in event-based Generalized Predictive Control (GPC). The event-based control system is ...

In this paper we construct an interpolation map from C(n)(Rk) into πn(Rk) (polynomials of total degree ≦ n) whose existence and uniqueness was proved by P. Kergin. We also provide numerically ...

In this paper, we solve two integral equations of Love’s type that have many applications, especially in electrostatic systems. The approach of the solution is based on an innovative technique using ...

Department of Mathematics, University of Sargodha, Sargodha, Pakistan. There are two general classes of subdivision schemes, namely, approximating and interpolating schemes. The limit curve of an ...

Some definitions on stability of interpolating process are given and then the sufficient and necessary conditions are obtained. On this basis, we conclude that the Lagrange interpolation is unstable, ...