This is a repository for a collection of numerical methods in MATLAB. The main feature of this collection is avoiding for loops as much as possible and using the full capabilities of MATLAB ...

For a square matrix ( A ), an eigenvalue ( \lambda ) and a corresponding eigenvector ( v ) are defined by the equation: [ Av = \lambda v ] The eigenvalue ( \lambda ) is a scalar that scales the ...

Abstract: Numerical computing with MATLAB is a new textbook for an introductory course in numerical methods, MATLAB, and technical computing. Published in: 34th Annual Frontiers in Education, 2004.

ABSTRACT: A system of ordinary differential equations (ODEs) is produced by the semi-discretize method of discretizing the advection diffusion equation (ADE). Runge-Kutta methods of the second and ...

Abstract: Identifying the roots of a polynomial is one of the standard tasks of numerical methods, which is often used in the analysis of system stability, regulation, etc. The presented article ...

ABSTRACT: Radial Basis Function methods for scattered data interpolation and for the numerical solution of PDEs were originally implemented in a global manner. Subsequently, it was realized that the ...