# Publications

- M. Kapl, V. Vitrih, B. Jüttler and K. Birner: Isogeometric Analysis with Geometrically Continuous Functions on Two-Patch Geometries.
- In Computers & Mathematics with Applications, Vol 70, Issue 7, 2015, pp. 1518-1538.
- DK-Report 2015-06, A. Maletzky
- Exploring Reduction Ring Theory in Theorema
- D. Gerth, B. Hahn and R. Ramlau. The Method of the Approximate Inverse for Atmospheric Tomography.
- In Inverse Problems, 31(6), 2015.
- S. Chen, H. Huang, M. Kauers, and Z. Li. A modified Abramov-Petkovšek reduction and creative telescoping for hypergeometric terms.
- In ISSAC 2015—Proceedings of the 40th International Symposium on Symbolic and Algebraic Computation, pages 117–124. ACM, New York, 2015.
- M. Gallet and J. Schicho. Ambiguities in a problem in planar geodesy.
- In SIGMA, 2015.
- DK-Report 2015-05, P. Gangl, S. Amstutz and U. Langer
- Topology Optimization of Electric Motor Using Topological Derivative for Nonlinear Magnetostatics
- P. Paule and S. Radu. Partition Analysis, Modular Functions, and Computer Algebra
- In Recent Trends in Combinatorics, IMA Volume in Mathematics and its Applications, pages 511-543, Springer, 2015
- DK-Report 2015-04, A. Mantzaflaris, H. Rahkooy and Z. Zafeirakopoulos
- Efficient Computation of Multiplicity and Directional Multiplicity of an Isolated Point
- D. Gerth. Problem-adapted regularization for inverse problems in the deterministic and stochastic setting.
- PhD Thesis, submitted 2015. Examiners: Prof. Ramlau, Prof. Siltanen.
- Z. Li. Closed linkages with six revolute joints.
- PhD Thesis, submitted 2015. Examiners: Prof. Schicho, Prof. Schröcker.
- A. Maletzky. Automated Reasoning in Reduction Rings using the Theorema System.
- 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
- G. Kiss. Theory and algorithms for truncated hierarchical B-splines.
- PhD Thesis, submitted 2015. Examiners: Prof. Jüttler, Prof. Hahmann.
- M. Wiesinger-Widi. Gröbner bases and generalized Sylvester matrices.
- PhD Thesis, submitted 2015. Examiners: Prof. Buchberger, Prof. Mayr.
- G. Grasegger. Symbolic Solutions of First-Order Algebraic Equations
- PhD Thesis, submitted 2015. Examiners: Prof. Franz Winkler, Prof. Rafael Sendra.
- DK Report 2015-03, C. Fürst and G. Landsmann
- Computation of Dimension in Filtered Free Modules by Gröbner Reduction
- D. Gerth, E. Klann, L. Reichel and R. Ramlau. On Fractional Tikhonov Regularization.
- In Journal of Inverse and Ill-Posed Problems, 23, pages 611-625, 2015.
- I. Bleyer and R. Ramlau. An Alternating Iterative Minimisation Algorithm for the Double-Regularised Total Least Square Functional.
- in Inverse Problems, 2015.
- M. Kauers and C. Koutschan. Integral D-Finite Functions.
- In Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC), pages 251--258, 2015.
- DK Report 2015-02, P. Gangl, U. Langer, A. Laurain, H. Meftahi and K. Sturm
- Shape optimization of an electric motor subject to nonlinear magnetostatics
- C. Koutschan, E. Suazo and S. K. Suslov. Fundamental laser modes in paraxial optics: from computer algebra and simulations to experimental observation.
- In Applied Physics B: Lasers and Optics 121(3), pp. 315–336, 2015.