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The structural method for Ordinary Differential Equations
S. Clain, M. T. Malheiro, G. J. Machado +1
We design and analyse a new numerical method to solve ODE system based on the structural method. We compute approximations of solutions together with its derivatives up to order $K…
math.NA2025
Structural schemes for hamiltonian systems
Stéphane Clain, Emmanuel Franck, Victor Michel-Dansac
We present an adaptation of the so-called structural method \cite{CMM23} for Hamiltonian systems, and redesign the method for this specific context, which involves two coupled diff…