Members
Sebastian Falkensteiner
Günter Landsmann
Johannes Middeke
Johann Mitteramskogler
Markus Rosenkranz
Franz Winkler
Ongoing Projects
Symbolic Solutions of Algebraic Differential Equations [ADE-solve]
Project Lead: Franz Winkler
Publications
2020
[Falkensteiner]
Power Series Solutions of AODEs - Existence, Uniqueness, Convergence and Computation
S. Falkensteiner
RISC Hagenberg, Johannes Kepler University Linz. PhD Thesis. June 2020. Also available as RISC report no. 20-13. [pdf]@phdthesis{RISC6120,
author = {S. Falkensteiner},
title = {{Power Series Solutions of AODEs - Existence, Uniqueness, Convergence and Computation}},
language = {english},
year = {2020},
month = {June},
note = {Also available as RISC report no. 20-13},
translation = {0},
school = {RISC Hagenberg, Johannes Kepler University Linz},
length = {146}
}
author = {S. Falkensteiner},
title = {{Power Series Solutions of AODEs - Existence, Uniqueness, Convergence and Computation}},
language = {english},
year = {2020},
month = {June},
note = {Also available as RISC report no. 20-13},
translation = {0},
school = {RISC Hagenberg, Johannes Kepler University Linz},
length = {146}
}
[Grasegger]
Computing Animations of Linkages with Rotational Symmetry (Media Exposition)
Sean Dewar, Georg Grasegger, Jan Legerský
In: 36th International Symposium on Computational Geometry (SoCG 2020), Sergio Cabello and Danny Z. Chen (ed.), Leibniz International Proceedings in Informatics (LIPIcs) 164, pp. 77:1-77:4. 2020. Schloss Dagstuhl-Leibniz-Zentrum für Informatik, Dagstuhl, Germany, ISBN 978-3-95977-143-6. [url]@inproceedings{RISC6128,
author = {Sean Dewar and Georg Grasegger and Jan Legerský},
title = {{Computing Animations of Linkages with Rotational Symmetry (Media Exposition)}},
booktitle = {{36th International Symposium on Computational Geometry (SoCG 2020)}},
language = {english},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
volume = {164},
pages = {77:1--77:4},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum für Informatik},
address = {Dagstuhl, Germany},
isbn_issn = {ISBN 978-3-95977-143-6},
year = {2020},
editor = {Sergio Cabello and Danny Z. Chen},
refereed = {no},
length = {4},
url = {https://doi.org/10.4230/LIPIcs.SoCG.2020.77}
}
author = {Sean Dewar and Georg Grasegger and Jan Legerský},
title = {{Computing Animations of Linkages with Rotational Symmetry (Media Exposition)}},
booktitle = {{36th International Symposium on Computational Geometry (SoCG 2020)}},
language = {english},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
volume = {164},
pages = {77:1--77:4},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum für Informatik},
address = {Dagstuhl, Germany},
isbn_issn = {ISBN 978-3-95977-143-6},
year = {2020},
editor = {Sergio Cabello and Danny Z. Chen},
refereed = {no},
length = {4},
url = {https://doi.org/10.4230/LIPIcs.SoCG.2020.77}
}
[Grasegger]
Flexible placements of graphs with rotational symmetry
S.Dewar, G. Grasegger, J. Legerský
arXiv. Technical report, 2020. [url]@techreport{RISC6091,
author = {S.Dewar and G. Grasegger and J. Legerský},
title = {{Flexible placements of graphs with rotational symmetry}},
language = {english},
year = {2020},
institution = {arXiv},
length = {9},
url = {https://arxiv.org/abs/2003.09328}
}
author = {S.Dewar and G. Grasegger and J. Legerský},
title = {{Flexible placements of graphs with rotational symmetry}},
language = {english},
year = {2020},
institution = {arXiv},
length = {9},
url = {https://arxiv.org/abs/2003.09328}
}
[Grasegger]
Combinatorics of Bricard’s octahedra
M. Gallet, G. Grasegger, J. Legerský, J. Schicho
arXiv. Technical report, 2020. [url]@techreport{RISC6095,
author = {M. Gallet and G. Grasegger and J. Legerský and J. Schicho},
title = {{Combinatorics of Bricard’s octahedra}},
language = {english},
year = {2020},
institution = {arXiv},
length = {40},
url = {https://arxiv.org/pdf/2004.01236.pdf}
}
author = {M. Gallet and G. Grasegger and J. Legerský and J. Schicho},
title = {{Combinatorics of Bricard’s octahedra}},
language = {english},
year = {2020},
institution = {arXiv},
length = {40},
url = {https://arxiv.org/pdf/2004.01236.pdf}
}
[Grasegger]
FlexRiLoG - A SageMath Package for Motions of Graphs
G. Grasegger, J. Legerský
In: Mathematical Software – ICMS 2020, Bigatti A., Carette J., Davenport J., Joswig M., de Wolff T. (ed.), Proceedings of ICMS 2020, Lecture Notes in Computer Science 12097, pp. 442-450. 2020. Springer, Cham, ISBN 978-3-030-52199-8. [url]@inproceedings{RISC6182,
author = {G. Grasegger and J. Legerský},
title = {{FlexRiLoG - A SageMath Package for Motions of Graphs}},
booktitle = {{ Mathematical Software – ICMS 2020}},
language = {english},
series = {Lecture Notes in Computer Science},
volume = {12097},
pages = {442--450},
publisher = {Springer, Cham},
isbn_issn = {ISBN 978-3-030-52199-8},
year = {2020},
editor = {Bigatti A. and Carette J. and Davenport J. and Joswig M. and de Wolff T.},
refereed = {no},
length = {9},
conferencename = {ICMS 2020},
url = {https://doi.org/10.1007/978-3-030-52200-1_44}
}
author = {G. Grasegger and J. Legerský},
title = {{FlexRiLoG - A SageMath Package for Motions of Graphs}},
booktitle = {{ Mathematical Software – ICMS 2020}},
language = {english},
series = {Lecture Notes in Computer Science},
volume = {12097},
pages = {442--450},
publisher = {Springer, Cham},
isbn_issn = {ISBN 978-3-030-52199-8},
year = {2020},
editor = {Bigatti A. and Carette J. and Davenport J. and Joswig M. and de Wolff T.},
refereed = {no},
length = {9},
conferencename = {ICMS 2020},
url = {https://doi.org/10.1007/978-3-030-52200-1_44}
}
[Grasegger]
Bracing frameworks consisting of parallelograms
G. Grasegger, J. Legerský
arXiv. Technical report, 2020. [url]@techreport{RISC6203,
author = {G. Grasegger and J. Legerský},
title = {{Bracing frameworks consisting of parallelograms}},
language = {english},
year = {2020},
institution = {arXiv},
length = {20},
url = {https://arxiv.org/abs/2008.11521}
}
author = {G. Grasegger and J. Legerský},
title = {{Bracing frameworks consisting of parallelograms}},
language = {english},
year = {2020},
institution = {arXiv},
length = {20},
url = {https://arxiv.org/abs/2008.11521}
}
[Grasegger]
Zero-sum cycles in flexible polyhedra
M. Gallet, G. Grasegger, J. Legerský, J. Schicho
arXiv. Technical report, 2020. [url]@techreport{RISC6211,
author = {M. Gallet and G. Grasegger and J. Legerský and J. Schicho},
title = {{Zero-sum cycles in flexible polyhedra}},
language = {english},
year = {2020},
institution = {arXiv},
length = {16},
url = {https://arxiv.org/abs/2009.14041}
}
author = {M. Gallet and G. Grasegger and J. Legerský and J. Schicho},
title = {{Zero-sum cycles in flexible polyhedra}},
language = {english},
year = {2020},
institution = {arXiv},
length = {16},
url = {https://arxiv.org/abs/2009.14041}
}
[Grasegger]
On the Classification of Motions of Paradoxically Movable Graphs
G. Grasegger, J. Legerský, J. Schicho
Journal of Computational Geometry 11(1), pp. 548-575. 2020. ISSN: 1920-180X. [url]@article{RISC6239,
author = {G. Grasegger and J. Legerský and J. Schicho},
title = {{On the Classification of Motions of Paradoxically Movable Graphs}},
language = {english},
journal = {Journal of Computational Geometry},
volume = {11},
number = {1},
pages = {548--575},
isbn_issn = {ISSN: 1920-180X},
year = {2020},
refereed = {yes},
length = {27},
url = {https://journals.carleton.ca/jocg/index.php/jocg/article/view/495}
}
author = {G. Grasegger and J. Legerský and J. Schicho},
title = {{On the Classification of Motions of Paradoxically Movable Graphs}},
language = {english},
journal = {Journal of Computational Geometry},
volume = {11},
number = {1},
pages = {548--575},
isbn_issn = {ISSN: 1920-180X},
year = {2020},
refereed = {yes},
length = {27},
url = {https://journals.carleton.ca/jocg/index.php/jocg/article/view/495}
}
[Grasegger]
Counting realizations of {L}aman graphs on the sphere
M. Gallet, G. Grasegger, J. Schicho
Electronic Journal of Combinatorics 27(2), pp. 1-18. 2020. 1077-8926 . [url]@article{RISC6243,
author = {M. Gallet and G. Grasegger and J. Schicho},
title = {{Counting realizations of {L}aman graphs on the sphere}},
language = {english},
journal = {Electronic Journal of Combinatorics},
volume = {27},
number = {2},
pages = {1--18},
isbn_issn = {1077-8926 },
year = {2020},
refereed = {yes},
length = {18},
url = {https://arxiv.org/abs/1903.01145}
}
author = {M. Gallet and G. Grasegger and J. Schicho},
title = {{Counting realizations of {L}aman graphs on the sphere}},
language = {english},
journal = {Electronic Journal of Combinatorics},
volume = {27},
number = {2},
pages = {1--18},
isbn_issn = {1077-8926 },
year = {2020},
refereed = {yes},
length = {18},
url = {https://arxiv.org/abs/1903.01145}
}
[Jimenez Pastor]
Some structural results on D^n finite functions
A. Jimenez-Pastor, V. Pillwein, M.F. Singer
Advances in Applied Mathematics 117, pp. 0-0. June 2020. Elsevier, 0196-8858. [url] [pdf]@article{RISC6077,
author = {A. Jimenez-Pastor and V. Pillwein and M.F. Singer},
title = {{Some structural results on D^n finite functions}},
language = {english},
abstract = {D-finite (or holonomic) functions satisfy linear differential equations with polynomial coefficients. They form a large class of functions that appear in many applications in Mathematics or Physics. It is well-known that these functions are closed under certain operations and these closure properties can be executed algorithmically. Recently, the notion of D-finite functions has been generalized to differentially definable or Dn-finite functions. Also these functions are closed under operations such as forming (anti)derivative, addition or multiplication and, again, these can be implemented. In this paper we investigate how Dn-finite functions behave under composition and how they are related to algebraic and differentially algebraic functions.},
journal = {Advances in Applied Mathematics},
volume = {117},
pages = {0--0},
publisher = {Elsevier},
isbn_issn = {0196-8858},
year = {2020},
month = {June},
refereed = {yes},
length = {0},
url = {https://doi.org/10.1016/j.aam.2020.102027}
}
author = {A. Jimenez-Pastor and V. Pillwein and M.F. Singer},
title = {{Some structural results on D^n finite functions}},
language = {english},
abstract = {D-finite (or holonomic) functions satisfy linear differential equations with polynomial coefficients. They form a large class of functions that appear in many applications in Mathematics or Physics. It is well-known that these functions are closed under certain operations and these closure properties can be executed algorithmically. Recently, the notion of D-finite functions has been generalized to differentially definable or Dn-finite functions. Also these functions are closed under operations such as forming (anti)derivative, addition or multiplication and, again, these can be implemented. In this paper we investigate how Dn-finite functions behave under composition and how they are related to algebraic and differentially algebraic functions.},
journal = {Advances in Applied Mathematics},
volume = {117},
pages = {0--0},
publisher = {Elsevier},
isbn_issn = {0196-8858},
year = {2020},
month = {June},
refereed = {yes},
length = {0},
url = {https://doi.org/10.1016/j.aam.2020.102027}
}
[Mitteramskogler]
A comparison of methods for computing rational general solutions of algebraic ODEs
Johann J. Mitteramskogler, Franz Winkler
Technical report no. 20-11 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Schloss Hagenberg, 4232 Hagenberg, Austria. 2020. [pdf]@techreport{RISC6135,
author = {Johann J. Mitteramskogler and Franz Winkler},
title = {{A comparison of methods for computing rational general solutions of algebraic ODEs}},
language = {english},
number = {20-11},
year = {2020},
length = {21},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Schloss Hagenberg, 4232 Hagenberg, Austria}
}
author = {Johann J. Mitteramskogler and Franz Winkler},
title = {{A comparison of methods for computing rational general solutions of algebraic ODEs}},
language = {english},
number = {20-11},
year = {2020},
length = {21},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Schloss Hagenberg, 4232 Hagenberg, Austria}
}
[Mitteramskogler]
Symbolic solutions of algebraic ODEs - A comparison of methods
Franz Winkler, Johann Mitteramskogler
Publications Mathemticae Debrecen, pp. 0-0. 2020. 0.@article{RISC6253,
author = {Franz Winkler and Johann Mitteramskogler},
title = {{Symbolic solutions of algebraic ODEs -- A comparison of methods}},
language = {english},
journal = {Publications Mathemticae Debrecen},
pages = {0--0},
isbn_issn = {0},
year = {2020},
refereed = {yes},
length = {0}
}
author = {Franz Winkler and Johann Mitteramskogler},
title = {{Symbolic solutions of algebraic ODEs -- A comparison of methods}},
language = {english},
journal = {Publications Mathemticae Debrecen},
pages = {0--0},
isbn_issn = {0},
year = {2020},
refereed = {yes},
length = {0}
}
[Winkler]
Symbolic computation in algebra, geometry, and differential equations
Franz Winkler
In: Proceedings CAI-2019, , Special issue of "Information and Computation" , pp. 0-0. 2020. 0.@inproceedings{RISC6252,
author = {Franz Winkler},
title = {{Symbolic computation in algebra, geometry, and differential equations}},
booktitle = {{Proceedings CAI-2019}},
language = {english},
series = {Special issue of "Information and Computation"},
pages = {0--0},
isbn_issn = {0},
year = {2020},
editor = {?},
refereed = {yes},
length = {0}
}
author = {Franz Winkler},
title = {{Symbolic computation in algebra, geometry, and differential equations}},
booktitle = {{Proceedings CAI-2019}},
language = {english},
series = {Special issue of "Information and Computation"},
pages = {0--0},
isbn_issn = {0},
year = {2020},
editor = {?},
refereed = {yes},
length = {0}
}
2019
[Grasegger]
On the existence of paradoxical motions of generically rigid graphs on the sphere
M. Gallet, G. Grasegger, J. Legerský, J. Schicho
arXiv. Technical report, 2019. [url]@techreport{RISC5977,
author = {M. Gallet and G. Grasegger and J. Legerský and J. Schicho},
title = {{On the existence of paradoxical motions of generically rigid graphs on the sphere}},
language = {english},
year = {2019},
institution = {arXiv},
length = {40},
url = {https://arxiv.org/abs/1908.00467}
}
author = {M. Gallet and G. Grasegger and J. Legerský and J. Schicho},
title = {{On the existence of paradoxical motions of generically rigid graphs on the sphere}},
language = {english},
year = {2019},
institution = {arXiv},
length = {40},
url = {https://arxiv.org/abs/1908.00467}
}
[Sendra]
Solving First Order Autonomous Algebraic Ordinary Differential Equations by Places
S. Falkensteiner, R. Sendra
Mathematics in Computer Science 14, pp. 327-337. 12 2019. ISSN 1661-8289. [url]@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},
volume = {14},
pages = {327--337},
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}
}
author = {S. Falkensteiner and R. Sendra},
title = {{Solving First Order Autonomous Algebraic Ordinary Differential Equations by Places}},
language = {english},
journal = {Mathematics in Computer Science},
volume = {14},
pages = {327--337},
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}
}
[Winkler]
The Algebro-Geometric Method for Solving Algebraic Differential Equations - A Survey
Franz Winkler
Journal of System Science and Complexity 32, pp. 256-270. 2019. 1009-6124.@article{RISC6027,
author = {Franz Winkler},
title = {{The Algebro-Geometric Method for Solving Algebraic Differential Equations -- A Survey}},
language = {english},
journal = {Journal of System Science and Complexity},
volume = {32},
pages = {256--270},
isbn_issn = {1009-6124},
year = {2019},
refereed = {yes},
length = {15}
}
author = {Franz Winkler},
title = {{The Algebro-Geometric Method for Solving Algebraic Differential Equations -- A Survey}},
language = {english},
journal = {Journal of System Science and Complexity},
volume = {32},
pages = {256--270},
isbn_issn = {1009-6124},
year = {2019},
refereed = {yes},
length = {15}
}
[Winkler]
The algebro-geometric solution method for algebraic differential equations - An introduction by examples
J.R. Sendra, Franz Winkler
In: Complex Differential and Difference Equations, Proceedings of the School and Conference CDDE, held at Bedlewo, Poland, deGruyter (ed.), pp. 129-146. 2019. Polish Academy of Sciences, deGruyter, 978-3-11-061142-7.@inproceedings{RISC6033,
author = {J.R. Sendra and Franz Winkler},
title = {{The algebro-geometric solution method for algebraic differential equations -- An introduction by examples}},
booktitle = {{Complex Differential and Difference Equations, Proceedings of the School and Conference CDDE, held at Bedlewo, Poland}},
language = {english},
pages = {129--146},
publisher = {Polish Academy of Sciences, deGruyter},
isbn_issn = {978-3-11-061142-7},
year = {2019},
editor = {deGruyter},
refereed = {yes},
length = {18}
}
author = {J.R. Sendra and Franz Winkler},
title = {{The algebro-geometric solution method for algebraic differential equations -- An introduction by examples}},
booktitle = {{Complex Differential and Difference Equations, Proceedings of the School and Conference CDDE, held at Bedlewo, Poland}},
language = {english},
pages = {129--146},
publisher = {Polish Academy of Sciences, deGruyter},
isbn_issn = {978-3-11-061142-7},
year = {2019},
editor = {deGruyter},
refereed = {yes},
length = {18}
}
2018
[Grasegger]
Rational general solutions of systems of first-order algebraic partial differential equations
G. Grasegger, A. Lastra, J.R. Sendra, F. Winkler
J. Computational and Applied Mathematics(331), pp. 88-103. 2018. ISSN 0377-0427. [pdf]@article{RISC5837,
author = {G. Grasegger and A. Lastra and J.R. Sendra and F. Winkler},
title = {{Rational general solutions of systems of first-order algebraic partial differential equations}},
language = {english},
journal = {J. Computational and Applied Mathematics},
number = {331},
pages = {88--103},
isbn_issn = {ISSN 0377-0427},
year = {2018},
refereed = {yes},
length = {16}
}
author = {G. Grasegger and A. Lastra and J.R. Sendra and F. Winkler},
title = {{Rational general solutions of systems of first-order algebraic partial differential equations}},
language = {english},
journal = {J. Computational and Applied Mathematics},
number = {331},
pages = {88--103},
isbn_issn = {ISSN 0377-0427},
year = {2018},
refereed = {yes},
length = {16}
}
[Grasegger]
Rational General Solutions of Systems of First-Order Partial Differential Equations
Georg Grasegger, Alberto Lastra, J. Rafael Sendra, Franz Winkler
Journal of Computational and Applied Mathematics 331, pp. 88-103. 2018. ISSN: 0377-0427.@article{RISC5509,
author = {Georg Grasegger and Alberto Lastra and J. Rafael Sendra and Franz Winkler},
title = {{Rational General Solutions of Systems of First-Order Partial Differential Equations}},
language = {english},
journal = {Journal of Computational and Applied Mathematics},
volume = {331},
pages = {88--103},
isbn_issn = {ISSN: 0377-0427},
year = {2018},
refereed = {yes},
length = {16}
}
author = {Georg Grasegger and Alberto Lastra and J. Rafael Sendra and Franz Winkler},
title = {{Rational General Solutions of Systems of First-Order Partial Differential Equations}},
language = {english},
journal = {Journal of Computational and Applied Mathematics},
volume = {331},
pages = {88--103},
isbn_issn = {ISSN: 0377-0427},
year = {2018},
refereed = {yes},
length = {16}
}
[Grasegger]
Deciding the existence of rational general solutions for first-order algebraic ODEs
N.T. Vo, G. Grasegger, F. Winkler
Journal of Symbolic Computation(87), pp. 127-139. 2018. ISSN 0747-7171. [pdf]@article{RISC5838,
author = {N.T. Vo and G. Grasegger and F. Winkler},
title = {{Deciding the existence of rational general solutions for first-order algebraic ODEs}},
language = {english},
journal = {Journal of Symbolic Computation},
number = {87},
pages = {127--139},
isbn_issn = {ISSN 0747-7171},
year = {2018},
refereed = {yes},
length = {13}
}
author = {N.T. Vo and G. Grasegger and F. Winkler},
title = {{Deciding the existence of rational general solutions for first-order algebraic ODEs}},
language = {english},
journal = {Journal of Symbolic Computation},
number = {87},
pages = {127--139},
isbn_issn = {ISSN 0747-7171},
year = {2018},
refereed = {yes},
length = {13}
}