# Publications

- S. Takacs and T. Takacs. Approximation Error Estimates and Inverse Inequalities for B-Splines of Maximum Smoothness.
- In Mathematical Models and Methods in Applied Sciences, 26, 1411-1445, 2016, https://doi.org/10.1142/S0218202516500342
- DK-Report 2016-04, A. Seiler and B. Jüttler
- Adaptive Numerical Quadrature for the Isogeometric Discontinuous Galerkin Method
- C. Hofer, U. Langer and I. Toulopoulos. Discontinuous Galerkin Isogeometric Analysis of Elliptic Diffusion Problems on Segmentations with Gaps
- Siam J. Sci. Comput., 2016 Society for Industrial and Applied Mathematics. Vol. 38, No. 6, pp. A3430-A3460.
- C.-S. Radu. An Algorithm to Prove Algebraic Relations Involving Eta Quotients
- to appear in Annals of Combinatorics
- DK-Report 2016-03, C. Hofer
- Analysis of discontinuous Galerkin Dual-Primal Isogeometric Tearing and Interconnecting Methods
- DK-Report 2016-02, C. Hofer
- Parallelization of Continuous and Discontinuous Galerkin Dual-Primal Isogeometric Tearing and Interconnecting Methods
- DK-Report 2016-01, P. Gangl and U. Langer
- A Local Mesh Modification Strategy for Interface Problems with Application to Shape and Topology Optimization
- C. Hofer and U. Langer. Dual-Primal Isogeometric Tearing and Interconnecting Solvers for Multipatch Continuous and Discontinuous Galerkin IgA Equations.
- In PAMM, Volume 16, No. 1, pages 747-748, 2016.
- S. Chen, M. Kauers and C. Koutschan. Reduction-Based Creative Telescoping for Algebraic Functions.
- In Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC), pages 175--182, 2016.
- C. Hofreither, B. Jüttler, G. Kiss and W. Zulehner. Multigrid Methods for Isogeometric Analysis with THB-Splines.
- in Comp. Meth. Appl. Mech. Engrg, 308 (2016), pp. 96-112. DOI: 10.1016/j.cma.2016.05.005, MR3522271.
- P. Paule and C.-S. Radu. A New Witness Identity for $11|p(11n+6)$.
- status submitted.
- C. Hofer and U. Langer. Dual-Primal Isogeometric Tearing and Interconnecting Methods.
- To appear in Contributions to PDE for Applications, Eds. P. Neittanmakki and J. Periaux and O. Pironneau, Springer-ECCOMAS series ''Computational Methods in Applied Sciences'', 2018.
- B. Jüttler, D. Mokriš, U. Zore: Completeness of Generating Systems for Quadratic Splines on Adaptively Refined Criss-Cross Triangulations.
- In Comp. Aided Geom. Design, 45 (2016), 91-107, DOI:10.1016/j.cagd.2016.03.005, MR3510458.
- H. Huang. New bounds for hypergeometric creative telescoping.
- In ISSAC 2016—Proceedings of the 41st International Symposium on Symbolic and Algebraic Computation, pages 279–286. ACM, New York, 2016.
- C. Hofer and I. Toulopoulos. Discontinuous Galerkin Isogeometric Analysis of Elliptic Problems on Segmentations with Non-Matching Interfaces.
- In Computers & Mathematics with Applications, Volume 72, Issue 7, October 2016, Pages 1811–1827.
- M. Ableidinger, E. Buckwar and A. Thalhammer. An Importance Sampling Technique in Monte Carlo Methods for SDEs with a.s. Stable and Mean-Square Unstable Equilibrium
- In Journal of Computational and Applied Mathematics, 2016.
- B. Buchberger, T. Jebelean, T. Kutsia, A. Maletzky and W. Windsteiger. Theorema 2.0: Computer-Assisted Natural-Style Mathematics
- In Journal of Formalized Reasoning, volume 9, number 1, pages 149-185, 2016.
- A. Maletzky. Mathematical Theory Exploration in Theorema: Reduction Rings
- In Intelligent Computer Mathematics (Proceedings of CICM 2016, Bialystok, Poland, July 25-29), volume LNCS 9791, pages 3-17, 2016
- T. Wick and B. Endtmayer. A Partition-of-Unity Dual-Weighted Residual Approach for Multi-Objective Goal Functional Error Estimation Applied to Elliptic Problems
- NUMA-Report, 2016.
- U. Zore, B. Jüttler and J. Kosinka: On the Linear Independence of Truncated Hierarchical Generating Systems.
- In J. Comput. Appl. Math., 306, (2016), pp. 200-216. DOI: 10.1016/j.cam.2016.04.014, MR3505893, Zbl 06587001.