3 citations · 3 across the 5 of their papers we have counts for
5 papers
Minimizing Residuals in ODE Integration Using Optimal Control
Robert M. Corless, C. Yalçın Kaya
Given the set of discrete solution points or nodes, called the skeleton, generated by an ODE solver, we study the problem of fitting a curve passing through the nodes in the skelet…
On the maximal spread of symmetric Bohemian matrices
Neil J. Calkin, Robert M. Corless, Laureano Gonzalez-Vega +2
Let A be a square matrix with real entries. The spread of A is defined as the maximum of the distances among the eigenvalues of A. Let denote the set of all …
Numerical methods for Chaotic ODE
Robert M. Corless
This paper explores backward error analysis for numerical solutions of ordinary differential equations, particularly focusing on chaotic systems. Three approaches are examined: res…
Symbolic Mathematical Computation 1965--1975: The emergence of a discipline
Robert M. Corless, Arthur C. Norman, Tomas Recio +2
Today, symbolic mathematical computation is taken for granted as part of the scientific infrastructure, but it has not always been so. This paper provides a historical survey of th…
Computational Discovery with Newton Fractals, Bohemian Matrices, & Mandelbrot Polynomials
Neil J. Calkin, Eunice Y. S. Chan, Robert M. Corless
The authors have been using a largely algebraic form of ``computational discovery'' in various undergraduate classes at their respective institutions for some decades now to teach…