Symbolic Solutions of Algebraic Differential Equations [ADE-solve]

Project Lead

Project Duration

01/05/2018 - 30/04/2021

Publications

2019

[Sendra]

Solving First Order Autonomous Algebraic Ordinary Differential Equations by Places

S. Falkensteiner, R. Sendra

Mathematics in Computer Science, pp. 1-11. 12 2019. ISSN 1661-8289. [url]
[bib]
@article{RISC6035,
author = {S. Falkensteiner and R. Sendra},
title = {{Solving First Order Autonomous Algebraic Ordinary Differential Equations by Places}},
language = {english},
journal = {Mathematics in Computer Science},
pages = {1--11},
isbn_issn = {ISSN 1661-8289},
year = {2019},
month = {12},
refereed = {yes},
keywords = {Algebraic autonomous differential equation, Algebraic curve, Local parametrization, Place, Formal power series solution, Analytic solution},
length = {11},
url = {https://doi.org/10.1007/s11786-019-00431-6}
}

2018

[Vo]

Computation of all rational solutions of first-order algebraic ODEs

N.T. Vo, G. Grasegger, F. Winkler

Advances in Applied Mathematics 98, pp. 1-24. March 2018. Elsevier, 0196-8858. [url]
[bib]
@article{RISC5797,
author = {N.T. Vo and G. Grasegger and F. Winkler},
title = {{Computation of all rational solutions of first-order algebraic ODEs}},
language = {english},
journal = {Advances in Applied Mathematics},
volume = {98},
pages = {1--24},
publisher = {Elsevier},
isbn_issn = {0196-8858},
year = {2018},
month = {March},
refereed = {yes},
keywords = {Ordinary differential equation, Rational solution, Algebraic function field, Rational curve},
length = {24},
url = {https://doi.org/10.1016/j.aam.2018.03.002}
}

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