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Publications
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G. Grasegger, A. Lastra, J. R. Sendra and F. Winkler. A Solution Method for Autonomous First-Order Algebraic Partial Differential Equations
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In Journal of Computational and Applied Mathematics, volume 300, pages 119-133, 2016.
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C. Siriteanu, A. Takemura, C. Koutschan, S. Kuriki, D. St. P. Richards and H. Shin Exact ZF Analysis and Computer-Algebra-Aided Evaluation in Rank-1 LoS Rician Fading.
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In IEEE Transactions on Wireless Communications, volume 15, no. 8, pages 5245-5259, 2016. Further info: http://www.koutschan.de/data/rank1rice/
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C. Koutschan, M. Neumüller, C.-S. Radu. Inverse Inequality Estimates with Symbolic Computation.
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In Advances in Applied Mathematics, volume 80, pages 1-23, 2016. Further info at: http://www.koutschan.de/data/maxeig/
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S. Hassani, C. Koutschan, J.-M. Maillard and N. Zenine. Lattice Green functions: the d-dimensional face-centred cubic lattice, d = 8, 9, 10, 11, 12.
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In Journal of Physics A: Mathematical and Theoretical 49(16), 164003, 2016. Further info: http://www.koutschan.de/data/fcc1/
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B. Strodthoff and B. Jüttler: Layered Reeb Graphs for Three-Dimensional Manifolds in Boundary Representation.
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In Computers & Graphics, 2015, vol. 46, pp. 186-197. , DOI: 10.1016/j.cag.2014.09.026.
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A. Falini, J. Špeh, B. Jüttler: Planar Domain Parameterization with THB-splines.
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In Computer Aided Geometric Design, 2015, vol. 35-36, pp. 95-108. DOI: 10.1016/j.cagd.2015.03.014, MR3348885.
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M. Kapl, V. Vitrih, B. Jüttler and K. Birner: Isogeometric Analysis with Geometrically Continuous Functions on Two-Patch Geometries.
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In Computers & Mathematics with Applications, Vol 70, Issue 7, 2015, pp. 1518-1538.
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DK-Report 2015-06, A. Maletzky
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Exploring Reduction Ring Theory in Theorema
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H. Rahkooy: Dual Space Algorithms for Computing Multiplicity Structure of Isolated Points
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PhD thesis, submitted 2015. Examiners: Prof. Bruno Buchberger, Dr. Nikolay Vasilyev
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D. Gerth, B. Hahn and R. Ramlau. The Method of the Approximate Inverse for Atmospheric Tomography.
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In Inverse Problems, 31(6), 2015.
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S. Chen, H. Huang, M. Kauers, and Z. Li. A modified Abramov-Petkovšek reduction and creative telescoping for hypergeometric terms.
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In ISSAC 2015—Proceedings of the 40th International Symposium on Symbolic and Algebraic Computation, pages 117–124. ACM, New York, 2015.
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M. Gallet and J. Schicho. Ambiguities in a problem in planar geodesy.
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In SIGMA, 2015.
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DK-Report 2015-05, P. Gangl, S. Amstutz and U. Langer
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Topology Optimization of Electric Motor Using Topological Derivative for Nonlinear Magnetostatics
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P. Paule and S. Radu. Partition Analysis, Modular Functions, and Computer Algebra
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In Recent Trends in Combinatorics, IMA Volume in Mathematics and its Applications, pages 511-543, Springer, 2015
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DK-Report 2015-04, A. Mantzaflaris, H. Rahkooy and Z. Zafeirakopoulos
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Efficient Computation of Multiplicity and Directional Multiplicity of an Isolated Point
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D. Gerth. Problem-adapted regularization for inverse problems in the deterministic and stochastic setting.
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PhD Thesis, submitted 2015. Examiners: Prof. Ramlau, Prof. Siltanen.
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Z. Li. Closed linkages with six revolute joints.
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PhD Thesis, submitted 2015. Examiners: Prof. Schicho, Prof. Schröcker.
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A. Maletzky. Automated Reasoning in Reduction Rings using the Theorema System.
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Computer Algebra in Scientific Computing (Proceedings of CASC 2015, September 14-18, Aachen, Germany). Vol. 9301 of Lecture Notes in Computer Science, pp. 305-319, Springer-Verlag, 2015.
The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-24021-3_23
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G. Kiss. Theory and algorithms for truncated hierarchical B-splines.
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PhD Thesis, submitted 2015. Examiners: Prof. Jüttler, Prof. Hahmann.
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M. Wiesinger-Widi. Gröbner bases and generalized Sylvester matrices.
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PhD Thesis, submitted 2015. Examiners: Prof. Buchberger, Prof. Mayr.
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