Continuous versus discrete structures II -- Discrete Hamiltonian systems\n and Helmholtz conditions

2015/01/13 by Jacky Cresson, Cresson, Jacky, Frédéric Pierret +1
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Analysis Techniques #Advanced Numerical Methods in Computational Mathematics #Dynamical Systems (math.DS) #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.1501.03203

openalex publication_date 2015/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define discrete Hamiltonian systems in the framework of discrete\nembeddings. An explicit comparison with previous attempts is given. We then\nsolve the discrete Helmholtz's inverse problem for the discrete calculus of\nvariation in the Hamiltonian setting. Several applications are discussed.\n

Citations

• Continuous versus discrete structures I -- Discrete embeddings and ordinary differential equations

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