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Communication Dans Un Congrès Année : 2013

Finding Hyperexponential Solutions of Linear ODEs by Numerical Evaluation

Résumé

We present a new algorithm for computing hyperexponential solutions of ordinary linear differential equations with polynomial coefficients. The algorithm relies on interpreting formal series solutions at the singular points as analytic functions and evaluating them numerically at some common ordinary point. The numerical data is used to determine a small number of combinations of the formal series that may give rise to hyperexponential solutions.

Dates et versions

hal-00818789 , version 1 (29-04-2013)

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Citer

Fredrik Johansson, Manuel Kauers, Marc Mezzarobba. Finding Hyperexponential Solutions of Linear ODEs by Numerical Evaluation. ISSAC - 28th International Symposium on Symbolic and Algebraic Computation, Jun 2013, Boston, Massachusetts, United States. pp.211­­-218, ⟨10.1145/2465506.2465513⟩. ⟨hal-00818789⟩
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