3 papers
math.NA2025
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…
math.SP2025
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 …
math.NA2025
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…