This project demonstrates interpolation techniques including polynomial interpolation with the Vandermonde matrix, Lagrange interpolation, and linear interpolation using scipy.interpolate. It calcu ...

Numerical analysis is the branch of mathematics devoted to the study of algorithms for the approximate solution of problems that often have no closed‐form answer. At its core, numerical analysis ...

<P>This chapter deals with the interpolation and approximation of functions. The interpolation includes Lagrange's interpolation polynomial, Taylor polynomials, Newton's interpolation polynomials, ...

This textbook introduces advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for ...

ALEXEI BESPALOV, NORBERT HEUER, OPTIMAL ERROR ESTIMATION FOR H(curl)-CONFORMING p-INTERPOLATION IN TWO DIMENSIONS, SIAM Journal on Numerical Analysis, Vol. 47, No. 5 (2009), pp. 3977-3989 ...

A general numerical dispersion relationship of the two-dimensional (2-D) radial point interpolation meshless (RPIM) method is deduced in detail in this paper. The characteristics of the numerical ...