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math.NA2026
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.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…