# Publications

- L. Ye. Complex Analysis Based Computer Algebra Algorithms for Proving Jacobi Theta Function Identities.
- PhD thesis, updated version, June 2017. Examiners: Prof. Peter Paule, Prof. Bruce C. Berndt.
- M. Kapl, G. Sangalli and T. Takacs. Dimension and Basis Construction for Analysis-Suitable G1 Two-Patch Parameterizations
- In Computer Aided Geometric Design, in press, 2017.
- M. Hauer and B. Jüttler. Projective and Affine Symmetries and Equivalences of Rational Curves in Arbitrary Dimension.
- Journal of Symbolic Computation, 2017, in press.
- DK Report 2017-04, M. Neumüller and A. Thalhammer
- Combining Space-Time Multigrid Techniques with Multilevel Monte Carlo Methods for SDEs
- DK-Report 2017-03, C. Hofer, U. Langer and S. Takacs
- Inexact Dual-Primal Isogeometric Tearing and Interconnecting Methods
- DK-Report 2017-02, C. Hofer and I. Toulpoulos
- Discontinuous Galerkin Isogeometric Analysis for Parametrizations with Overlapping Regions
- L. Ye. Elliptic Function Based Algorithms to Prove Jacobi Theta Function Relations.
- Submitted.
- A. Lin, M. Makhul, H. Nassajian Mojarrad, J. Schicho, K. Swanepoel and F. De Zeeuw. On Sets Defining Few Ordinary Circles.
- Submitted.
- M. Gallet, G. Nawratil and J. Schicho. Liaison Linkages.
- In Journal of Symbolic Computation, volume 79, pages 65-98, 2017.
- M. Gallet, G. Nawratil, J. Schicho and J. Selig. Mobile Icosapods.
- To appear in Advances in Applied Mathematics.
- M. Gallet. Algebraic Geometry Methods in Kinematics: Mobile Pods
- PhD Thesis, submitted 2017. Examiners: Prof. Josef Schicho, Prof. Herwig Hauser.
- P. Gangl. Sensitivity-Based Topology and Shape Optimization with Application to Electrical Machines.
- PhD Thesis, submitted 2017. Examiners: Prof. Langer, Prof. Tröltzsch.
- M. Gallet, C. Koutschan, Z. Li, G. Regensburger, J. Schicho and N. Villamizar. Planar Linkages Following a Prescribed Motion.
- In Mathematics of Computation 86, pp. 473–506, 2017. Further info: http://www.koutschan.de/data/link/
- L. Ye. A Symbolic Decision Procedure for Relations Arising among Taylor Coefficients of Classical Jacobi Theta Functions
- Journal of Symbolic Computation, 82: 134-163, 2017.
- C. Hofer, U. Langer and I. Toulopoulos. Discontinuous Galerkin Isogeometric Analysis on Non-matching Segmentation: Error Estimates and Efficient Solvers.
- Submitted.
- C. Hofer and U. Langer. Dual-Primal Isogeometric Tearing and Interconnecting Solvers for Multipatch dG-IgA equations
- Computer Methods in Applied Mechanics and Engineering, Volume 316, April 2017, Pages 2-21.
- DK-Report 2017-01, E. Buckwar and A. Thalhammer
- Importance Sampling Techniques for Stochastic Partial Differential Equations
- E. Klann, R. Ramlau and P. Sun. A Mumford-Shah-Type Approach to Simultaneous Reconstruction and Segmentation for Emission Tomography Problems with Poisson Statistics.
- In Journal of Inverse and Ill-Posed Problems, 2017, doi: 10.1515/jiip-2016-0077
- A. Maletzky. Computer-Assisted Exploration of Gröbner Bases Theory in Theorema.
- PhD Thesis, submitted 2016. Examiners: Prof. Buchberger, Prof. Kreuzer.
- Gangl, P., Amstutz, S. & Langer, U. Topology Optimization of Electric Motor Using Topological Derivative for Nonlinear Magnetostatics.
- In IEEE Trans. Magn. (2016) 52(3). The final publication is available at http://ieeexplore.ieee.org/document/7312466/?reload=true&arnumber=7312466.