Juan Rafael
Sendra Pons
Catedrático/a de Universidad
Johannes Kepler University of Linz
Linz, AustriaPublications in collaboration with researchers from Johannes Kepler University of Linz (18)
2024
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Transforming Radical Differential Equations to Algebraic Differential Equations
Mediterranean Journal of Mathematics, Vol. 21, Núm. 3
2023
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Algebraic and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one in several variables
Journal of Symbolic Computation, Vol. 114, pp. 1-17
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THE ALGEBRO-GEOMETRIC METHOD: SOLVING ALGEBRAIC DIFFERENTIAL EQUATIONS BY PARAMETRIZATIONS
Bulletin of the American Mathematical Society, Vol. 60, Núm. 1, pp. 85-122
2022
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Existence and convergence of Puiseux series solutions for autonomous first order differential equations
Journal of Symbolic Computation, Vol. 108, pp. 137-151
2021
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Algebraic, Rational and Puiseux Series Solutions of Systems of Autonomous Algebraic ODEs of Dimension One
Mathematics in Computer Science, Vol. 15, Núm. 2, pp. 189-198
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Puiseux Series and Algebraic Solutions of First Order Autonomous AODEs – A MAPLE Package
Communications in Computer and Information Science
2020
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Solving First Order Autonomous Algebraic Ordinary Differential Equations by Places
Mathematics in Computer Science, Vol. 14, Núm. 2, pp. 327-337
2018
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Rational general solutions of systems of first-order algebraic partial differential equations
Journal of Computational and Applied Mathematics, Vol. 331, pp. 88-103
2016
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A solution method for autonomous first-order algebraic partial differential equations
Journal of Computational and Applied Mathematics, Vol. 300, pp. 119-133
2015
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Birational transformations preserving rational solutions of algebraic ordinary differential equations
Journal of Computational and Applied Mathematics, Vol. 286, pp. 114-127
2014
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On symbolic solutions of algebraic partial differential equations
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
2008
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Foreword
Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC
2002
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Properness and inversion of rational parametrizations of surfaces
Applicable Algebra in Engineering, Communications and Computing, Vol. 13, Núm. 1, pp. 29-51
2001
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Tracing index of rational curve parametrizations
Computer Aided Geometric Design, Vol. 18, Núm. 8, pp. 771-795
1999
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Algorithms for rational real algebraic curves
Fundamenta Informaticae, Vol. 39, Núm. 1-2, pp. 211-228
1998
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Real parametrization of algebraic curves
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
1997
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Parametrization of algebraic curves over optimal field extensions
Journal of Symbolic Computation, Vol. 23, Núm. 2-3, pp. 191-207
1991
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Symbolic parametrization of curves
Journal of Symbolic Computation, Vol. 12, Núm. 6, pp. 607-631