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Publications
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M. Hodorog and B. Mourrain and J. Schicho. An Adapted Version of the Bentley-Ottmann Algorithm for Invariants of Plane Curve Singularities.
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In B. Murgante et al., editor. Proceedings of the 11th International Conference on Computational Science and Its Applications, Part III, Session: Computational Geometry and Applications, Lecture Notes in Computer Science, pp. 121-131. Springer, Heidelberg, 2011.
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M. Hodorog and J. Schicho. A Regularization Method for Computing Approximate Invariants of Plane Curves Singularities.
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In Proceedings of the 4th International Workshop on Symbolic-Numeric Computation, pp. ?-?. To appear. ACM (Association for Computing Machinery), 2011.
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H. Rahkooy and Z. Zafeirakopoulos. Using Resultants for Inductive Groebner Bases Computation.
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In ACM Communications in Computer Algebra 45(2), pp. ?-?. 2011. ISSAC 2011 accepted poster.
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P. Gruber: Fast Solvers and Adaptive Hight-Order FEM in Elastoplasticity
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PhD thesis, submitted 2011. Examiners: Prof. Langer, Prof. Düster.
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L.X.C. Ngo and F. Winkler. Rational general solutions of parametrizable AODEs.
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Publ. Math. Debrecen (2011). 79/3-4, pp 573–587. DOI: 10.5486/PMD.2011.5121
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M. Kolmbauer and U. Langer. A Robust FEM-BEM Solver for Time-Harmonic Eddy Current Problems.
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accepted for publication in DD20 proceedings
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DK Report 2011-05, M.T. Khan
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A Type Checker for MiniMaple
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DK Report 2011-04, S. K. Kleiss, B. Jüttler and W. Zulehner
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Enhancing Isogeometric Analysis by a Finite Element-Based Local Refinement Strategy
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V. Pillwein and S. Takacs. Smoothing analysis of an all-at-once multigrid approach for optimal control problems using symbolic computation.
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In U. Langer and P. Paule, editors. Numerical and Symbolic Scientific Computing: Progress and Prospects. Springer Wien, 2011.
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M. Hodorog and J. Schicho. A symbolic-numeric algorithm for genus computation.
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In U. Langer and P. Paule, editors, Numerical and Symbolic Scientific Computing: Progress and Prospects. Springer Wien, 2011.
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S. Takacs and W. Zulehner. Convergence analysis of multigrid methods with collective point smoothers for optimal control problems.
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Computing and Visualization in Science 14(3), pp. 131-141. 2011.
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DK Report 2011-03, C.G. Raab
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Using Gröbner Bases for Finding the Logarithmic Part of the Integral of Transcendental Functions
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M. Hodorog, B. Mourrain, and J. Schicho. A Symbolic-Numeric Algorithm for Computing the Alexander Polynomial of a Plane Curve Singularity.
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In D. Petcu, V. Negru, D. Zaharie, and T. Jebelean, editors, Proceedings of the 12th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing-Timisoara, Romania, pages 21-28, 2010. IEEE Computer Society Conference Publishing Services.
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DK Report 2011-02, L.X.C. Ngo
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Finding rational solutions of rational systems of autonomous ODEs
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DK Report 2011-01, S. Takacs and W. Zulehner
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Convergence Analysis of Multigrid Methods with Collective Point Smoothers for Optimal Control Problems
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DK Report 2010-15, C. Aistleitner
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Relations between Gröbner bases, differential Gröbner bases, and differential characteristic sets
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C. Hofreither, U. Langer, and C. Pechstein. Analysis of a non-standard finite element method based on boundary integral operators.
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Electronic Transactions on Numerical Analysis, 37:413-436, 2010.
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DK Report 2010-14, I. Georgieva, C. Hofreither and R. Uluchev
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Interpolation in the unit disk based on Radon projections and function values
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DK Report 2010-13, C. Hofreither
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L2 Error Estimates for a Nonstandard Finite Element Method on Polyhedral Meshes
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M. Hodorog, B. Mourrain, and J. Schicho. GENOM3CK - A library for genus computation of plane complex algebraic curves using knot theory.
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In ACM SIGSAM Communications in Computer Algebra, Software Presentations at the 35th International Symposium on Symbolic and Algebraic Computation - Munich, Germany, 2010, volume 44, pages 198-200. Association for Computing Machinery, Special Interest Group on Symbolic and Algebraic Manipulation, 2010.
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