Computer Algebra for Differential Equations

@inproceedings{RISC5432,
author = {Christoph Fuerst and Alexander Levin},
title = {{Relative Reduction and Buchberger’s Algorithm in Filtered Free Modules}},
booktitle = {{Mathematics in Computer Science}},
language = {english},
pages = {1--11},
isbn_issn = {1661-8289},
year = {2017},
editor = {W. Koepf},
refereed = {yes},
length = {11}
}

@inproceedings{RISC5510,
author = {Georg Grasegger and N. Thieu Vo},
title = {{An Algebraic-Geometric Method for Computing Zolotarev Polynomials}},
booktitle = {{Proceedings of the 2017 international symposium on symbolic and algebraic computation (ISSAC)}},
language = {english},
pages = {173--180},
publisher = {ACM Press},
address = {New York},
isbn_issn = {ISBN: 978-1-4503-5064-8},
year = {2017},
editor = {Burr and M.},
refereed = {yes},
length = {8}
}

@inproceedings{RISC5478,
author = {Jose Capco and Georg Grasegger and Matteo Gallet and Christoph Koutschan and Niels Lubbes and Josef Schicho},
title = {{Computing the number of realizations of a Laman graph}},
booktitle = {{Electronic Notes in Discrete Mathematics (Proceedings of Eurocomb 2017)}},
language = {english},
abstract = {Laman graphs model planar frameworks which are rigid for a general choice of distances between the vertices. There are finitely many ways, up to isometries, to realize a Laman graph in the plane. In a recent paper we provide a recursion formula for this number of realizations using ideas from algebraic and tropical geometry. Here, we present a concise summary of this result focusing on the main ideas and the combinatorial point of view.},
volume = {61},
pages = {207--213},
isbn_issn = {ISSN 1571-0653},
year = {2017},
editor = {Vadim Lozin},
refereed = {yes},
keywords = {Laman graph; minimally rigid graph; tropical geometry; euclidean embedding; graph realization},
length = {7},
conferencename = {The European Conference on Combinatorics, Graph Theory and Applications (EUROCOMB'17)},
url = {http://www.koutschan.de/data/laman/}
}

@inproceedings{RISC5400,
author = {G. Grasegger and N.T. Vo and F. Winkler},
title = {{A decision algorithm for rational general solutions of first-order algebraic ODEs}},
booktitle = {{Proceedings XV Encuentro de Algebra Computacional y Aplicaciones (EACA 2016)}},
language = {english},
pages = {101--104},
isbn_issn = {978-84-608-9024-9},
year = {2016},
editor = {Universidad de la Rioja and J. Heras and A. Romero (eds.)},
refereed = {yes},
length = {4}
}

@inproceedings{RISC5154,
author = {Christoph Fuerst and Guenter Landsmann},
title = {{Computation of Dimension in Filtered Free Modules by Gröbner Reduction}},
booktitle = {{Proceedings of the International Symposium on Symbolic and Algebraic Computation}},
language = {english},
pages = {181--188},
isbn_issn = {978-1-4503-3435-8},
year = {2015},
editor = {ACM},
refereed = {yes},
length = {8},
conferencename = {ISSAC '15},
url = {http://doi.acm.org/10.1145/2755996.2756680}
}

@inproceedings{RISC5018,
author = {G. Grasegger and F. Winkler},
title = {{Symbolic Solutions of First-Order Algebraic ODEs}},
booktitle = {{Computer algebra and polynomials}},
language = {english},
series = {Lecture Notes in Computer Science},
volume = {8942},
pages = {94--104},
publisher = {Springer International Publishing},
isbn_issn = {ISSN 0302-9743},
year = {2015},
editor = {J. Gutierrez and J. Schicho and M. Weimann},
refereed = {yes},
length = {11},
url = {http://dx.doi.org/10.1007/978-3-319-15081-9_5}
}

@inproceedings{RISC5151,
author = {A. Maletzky},
title = {{Automated Reasoning in Reduction Rings using the Theorema System}},
booktitle = {{Computer Algebra in Scientific Computing}},
language = {english},
series = {LNCS},
volume = {9301},
pages = {305--319},
publisher = {Springer-Verlag Berlin Heidelberg},
isbn_issn = {ISSN 0302-9743},
year = {2015},
note = {The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-24021-3_23},
editor = {Vladimir P. Gerdt and Wolfram Koepf and Werner M. Seiler and Evgenii V. Vorozhtsov},
refereed = {yes},
length = {15},
conferencename = {CASC 2015 (September 14-18, Aachen, Germany)},
url = {http://dx.doi.org/10.1007/978-3-319-24021-3_23}
}

@inproceedings{RISC5194,
author = {N. T. Vo and F. Winkler},
title = {{Algebraic General Solutions of First Order Algebraic ODEs}},
booktitle = {{Computer Algebra in Scientific Computing}},
language = {english},
abstract = {In this paper we consider the class of algebraic ordinary differential equations (AODEs), the class of planar rational systems, and discuss their algebraic general solutions. We establish for each parametrizable first order AODE a planar rational system, the associated system, such that one can compute algebraic general solutions of the one from the other and vice versa. For the class of planar rational systems, an algorithm for computing their explicit algebraic general solutions with a given rational first integral is presented. Finally an algorithm for determining an algebraic general solution of degree less than a given positive integer of parametrizable first order AODEs is proposed.},
series = {Lecture Notes in Computer Science},
volume = {9301},
pages = {479--492},
publisher = {Springer International Publishing},
isbn_issn = {ISSN 0302-9743},
year = {2015},
editor = {Vladimir P. Gerdt et. al.},
refereed = {yes},
length = {14},
url = {http://link.springer.com/content/pdf/10.1007%2F978-3-319-24021-3_35.pdf}
}