Numerical analysis is a branch of mathematics that deals with the study of algorithms for approximating solutions to mathematical problems. This project focuses on three specific methods: Cubic Spline ...

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

Article citations More>> Carlson, F. (1980) Monotone Piecewise Cubic Interpolation. SIAM Journal of Numerical Analysis. has been cited by the following article: TITLE: Construction of Nominal Yield ...

SIAM Journal on Numerical Analysis, Vol. 17, No. 2 (Apr., 1980), pp. 238-246 (9 pages) Necessary and sufficient conditions are derived for a cubic to be monotone on an interval. These conditions are ...

Article citations More>> F. Fritsch and R. Carlson, “Monotone Piecewise Cubic Interpolation,” SIAM Journal on Numerical Analysis, Vol. 17, No. 2, 1980, pp. 238-246. doi:10.1137/0717021 has been cited ...

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 ...

Cubic spline interpolation schemes which require no derivative information at the end points are of great practical importance and have been included in several general purpose software libraries.

The sub-pixel analysis of large volumes of digital imagery requires precise methods of interpolation. To be computationally feasible, the methods must be massively parallelizable, and this constrains ...

Based on the practical and importance of the Chebyshev interpolation polynomial algorithm, in order to structure Chebyshev interpolation polynomial of high precision possible, having some research on ...

Numerical Solution of Systems of Linear Equations, Iterative Methods Formulation and analysis of basic stationary methods e.g. Gauss-Jacobi, Gauss-Seidel. The numerical solution of Poisson's equation.