SIAM Journal on Numerical Analysis contains research articles on the development and analysis of numerical methods including their convergence, stability, and error ...

PageRank is a foundational algorithm that has significantly influenced the way search engines rank webpages by assessing both the quantity and quality of inbound links. The technique, originally ...

This paper is concerned with asymptotic stability of linear neutral delay differential-algebraic equations and Runge-Kutta methods. First, we give a new equivalent sufficient condition for the neutral ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...

Optical systems employ a rich array of physical effects which are described by well-understood equations. However, for all but the simplest devices these equations are typically too complex to permit ...