# Publications

- L.X.C. Ngo and F. Winkler. Rational general solutions of parametrizable AODEs.
- Publ. Math. Debrecen (2011). 79/3-4, pp 573–587. DOI: 10.5486/PMD.2011.5121
- M. Kolmbauer and U. Langer. A Robust FEM-BEM Solver for Time-Harmonic Eddy Current Problems.
- accepted for publication in DD20 proceedings
- DK Report 2011-05, M.T. Khan
- A Type Checker for MiniMaple
- DK Report 2011-04, S. K. Kleiss, B. Jüttler and W. Zulehner
- Enhancing Isogeometric Analysis by a Finite Element-Based Local Refinement Strategy
- V. Pillwein and S. Takacs. Smoothing analysis of an all-at-once multigrid approach for optimal control problems using symbolic computation.
- In U. Langer and P. Paule, editors. Numerical and Symbolic Scientific Computing: Progress and Prospects. Springer Wien, 2011.
- M. Hodorog and J. Schicho. A symbolic-numeric algorithm for genus computation.
- In U. Langer and P. Paule, editors, Numerical and Symbolic Scientific Computing: Progress and Prospects. Springer Wien, 2011.
- S. Takacs and W. Zulehner. Convergence analysis of multigrid methods with collective point smoothers for optimal control problems.
- Computing and Visualization in Science 14(3), pp. 131-141. 2011.
- DK Report 2011-03, C.G. Raab
- Using Gröbner Bases for Finding the Logarithmic Part of the Integral of Transcendental Functions
- M. Hodorog, B. Mourrain, and J. Schicho. A Symbolic-Numeric Algorithm for Computing the Alexander Polynomial of a Plane Curve Singularity.
- 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.
- DK Report 2011-02, L.X.C. Ngo
- Finding rational solutions of rational systems of autonomous ODEs
- DK Report 2011-01, S. Takacs and W. Zulehner
- Convergence Analysis of Multigrid Methods with Collective Point Smoothers for Optimal Control Problems
- DK Report 2010-15, C. Aistleitner
- Relations between Gröbner bases, differential Gröbner bases, and differential characteristic sets
- C. Hofreither, U. Langer, and C. Pechstein. Analysis of a non-standard finite element method based on boundary integral operators.
- Electronic Transactions on Numerical Analysis, 37:413-436, 2010.
- DK Report 2010-14, I. Georgieva, C. Hofreither and R. Uluchev
- Interpolation in the unit disk based on Radon projections and function values
- DK Report 2010-13, C. Hofreither
- L2 Error Estimates for a Nonstandard Finite Element Method on Polyhedral Meshes
- M. Hodorog, B. Mourrain, and J. Schicho. GENOM3CK - A library for genus computation of plane complex algebraic curves using knot theory.
- 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.
- DK Report 2010-12, S. Béla and B. Jüttler
- Approximating Algebraic Space Curves by Circular Arcs
- DK Report 2010-11, Y. Huang and L.X.C. Ngo
- Rational Solutions of a Rational System of Autonomous ODEs: Generalization to Trivariate Case and Problems
- S. Takacs and W. Zulehner. Multigrid methods for elliptic optimal control problems with neumann boundary control.
- In G. Kreiss, P. Lötstedt, A. Malqvist, and M. Neytcheva, editors, Numerical Mathematics and Advanced Applications 2009, pages 855-863. Springer Berlin Heidelberg, 2010.
- DK Report 2010-10, T. Takacs and B. Jüttler
- Existence of Stiffness Matrix Integrals for Singularly Parameterized Domains in Isogeometric Analysis