François Lemaire
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On the integration of differential fractions
ISSAC '13: Proceedings of the 38th International Symposium on Symbolic and Algebraic ComputationIn this paper, we provide a differential algebra algorithm for integrating fractions of differential polynomials. It is not restricted to differential fractions that are the derivatives of other differential fractions. The algorithm leads to new ...
Additive normal forms and integration of differential fractions
This paper presents two new normal forms for fractions of differential polynomials, as well as algorithms for computing them. The first normal form allows to write a fraction as the derivative of a fraction plus a nonintegrable part. The second normal ...
A new integration algorithm for ordinary differential equations based on continued fraction approximations
A new integration algorithm is found, and an implementation is compared with other programmed algorithms. The new algorithm is a step-by-step procedure for solving the initial value problem in ordinary differential equations. It is designed to ...
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