Publications

2020

Peer Reviewed Journal Publication
  • Takacs, Stefan (2020) Fast multigrid solvers for conforming and non-conforming multi-patch Isogeometric Analysis. Comput. Meth. Appl. Mech. Eng., Bd. 371.
  • Meidl, W.; Pirsic, I. (2020) Bent and $Z_{2^k}$-bent functions from spread-like partitions. Designs, Codes, Cryptogr., Bd. to appear, S. 10.
  • Li, S.; Meidl, W.; Polujan, A.; Pott, A.; Riera, C. et al. [..] (2020) Vanishing Flats: A combinatorial viewpoint on the planarity of functions and their application. IEEE Trans. Inform. Theory, Bd. to appear, S. 10.
  • Mérai, L.; Ostafe, A.; Shparlinski, I.E. (2020) Dynamical irreducibility of polynomials in reduction modulo primes. Mathematische Zeitschrift, Bd. to appear, S. 15.
  • Makhul, M.; Warren, A.; Winterhof, A. (2020) The spherical Kakeya problem in finite fields. SIAM J. Discrete Math., Bd. to appear, S. 1-10.
  • Engel, Sebastian; Kunisch, Karl (2020) OPTIMAL CONTROL OF THE LINEAR WAVE EQUATION BY TIME-DEPENDING BV-CONTROLS: A SEMI-SMOOTH NEWTON APPROACH. Math. Control Relat. Fields, Bd. 10 (3), S. 591-622.
  • Jiu, Lin; Koutschan, Christoph (2020) Calculation and Properties of Zonal Polynomials. Mathematics in Computer Science, Bd. 14, S. 623-640. (link)
  • Çeşmelioğlu, A.; Meidl, W.; Pott, A. (2020) Vectorial bent functions in odd characteristic and their components. Cryptogr. Commun., Bd. 12 (5), S. 899--912.
  • Gómez-Pérez, D.; Mérai, L. (2020) Algebraic dependence in generating functions and expansion complexity. Adv. Math. Commun., Bd. 14 (2), S. 307-–318.
  • Allouche, J.P.; Han, G.-N.; Niederreiter, H. (2020) Perfect linear complexity profile and Apwenian sequences. Finite Fields and Their Applications, Bd. 68, S. 101761.
  • Merai, L. (2020) Values of rational functions in small subgroups of finite fields and the identity testing problem from powers. Int. J. Number Theory, Bd. 16 (2), S. 219-–231.
  • P. Kritzer, ; F. Pillichshammer, ; L. Plaskota, ; Wasilkowski, G.W. (2020) On alternative quantization for doubly weighted approximation and integration over unbounded domains. Journal of Approximation Theory, Bd. 256, S. 105433.
  • Breiten, Tobias; Kunisch, Karl (2020) FEEDBACK STABILIZATION OF THE THREE-DIMENSIONAL NAVIER-STOKES EQUATIONS USING GENERALIZED LYAPUNOV EQUATIONS. Discret. Contin. Dyn. Syst., Bd. 40 (7), S. 4197-4229.
  • Gomez, D.; Winterhof, A. (2020) A note on the cross-correlation of Costas permutations. IEEE Transactions on Information Theory, Bd. to appear, S. 1-10.
  • Makhul, M. (2020) On the number of perfect triangles with a fixed angle. Discrete Comput. Geom., Bd. to appear, S. 10.
  • Kunisch, Karl; Meinlschmidt, Hannes (2020) Optimal control of an energy-critical semilinear wave equation in 3D with spatially integrated control constraints. J. Math. Pures Appl., Bd. 138, S. 46-87.
  • Kalise, Dante; Kundu, Sudeep; Kunisch, Karl (2020) Robust Feedback Control of Nonlinear PDEs by Numerical Approximation of High-Dimensional Hamilton-Jacobi-Isaacs Equations. SIAM J. Appl. Dyn. Syst., Bd. 19 (2), S. 1496-1524.
  • Winterhof, A.; Xiao, Z. (2020) Sequences of the parities of differences of consecutive quadratic residues. Advances in Mathematics of Communications, Bd. to appear, S. 1-11.
  • Grasegger, Georg; Legerský, Jan; Schicho, Josef (2020, online: 2019) Graphs with Flexible Labelings allowing Injective Realizations. Discrete Mathematics, Bd. 343 (6), S. 1-14. (link)
  • Petridis, G.; Roche-Newton, O.; Rudnev, M.; Warren, A. (2020) An energy bound in the affine group. International Mathematics Research Notices, Bd. to appear, S. 10.
  • Grasegger, Georg; Koutschan, Christoph; Tsigaridas, Elias (2020, online: 2018) Lower bounds on the number of realizations of rigid graphs. Experimental Mathematics, Bd. 29 (2), S. 125-136. (link)
  • Azmi, Behzad; Kunisch, Karl (2020) Analysis of the Barzilai-Borwein Step-Sizes for Problems in Hilbert Spaces. J. Optim. Theory Appl.
  • Abdelaziz, Youssef; Koutschan, Christoph; Maillard, Jean-Marie (2020) On Christol's conjecture. Journal of Physics A: Mathematical and Theoretical, Bd. 53 (20), S. 205201. (link)
  • Gallet, Matteo; Grasegger, Georg; Schicho, Josef (2020) Counting realizations of Laman graphs on the sphere. Electronic Journal of Combinatorics, Bd. 27 (2), S. P2.5 (1-18). (link)
  • Bors, A. (2020) Computation of orders and cycle lengths of automorphisms of finite solvable groups. J. Symb. Comput., Bd. to appear, S. 20.
  • O. Roche-Newton, A. Warren (2020) New expander bounds from affine group energy. Discrete & Computational Geometry, Bd. to appear, S. 10.
  • Kapl, Mario; Vitrih, Vito (2020, online: 2019) Isogeometric collocation on planar multi-patch domains. Computer Methods in Applied Mechanics and Engineering, Bd. 360, S. 112684.
  • Anbar, N.; Kasikci, C.; Meidl, W.; Topuzoglu, A. (2020) Shifted plateaued functions and their differential properties. Cryptography and Communications, Bd. 12 (6), S. 1091--1105.
  • A. Stuart, M.T. Wolfram (2020) Inverse optimal transport. SIAP, Bd. 80 (1), S. 599-619.
  • L. Mérai, I. E. Shparlinski (2020) Distribution of short subsequences of inversive congruential pseudorandom number generator. Math. Comp. Math. Comp., Bd. 89 (322), S. 911--922.
  • L. Merai, I.E. Shparlinski (2020) Unlikely intersections over finite fields: polynomial orbits in small subgroups. Discrete Contin. Dyn. Syst., Bd. 40 (2), S. 1065--1073.
  • D. Gomez-Perez, L. Merai, I. E. Shparlinski (2020) On the complexity of exact counting of dynamically irreducible polynomials. Journal of Symbolic Computation, Bd. 99, S. 231--241.
  • H. Aly, A. Winterhof (2020) A note on Hall's sextic residue sequence: correlation measure of order k and related measures of pseudorandomness. IEEE Trans. Inf. Th., Bd. 66 (3), S. 1944--1947.
  • Makhul, M.; Roche-Newton, O.; Warren, A.; Zeeuw, F. de (2020) Constructions for the Elekes-Szabó and Elekes-Rónyai problems. Electronic Journal of Combinatorics, Bd. 27 (1), S. Paper No. 1.57, 8 pp.
  • Ghilli, Daria; Kunisch, Karl; Kovtunenko, Victor A. (2020) Inverse problem of breaking line identification by shape optimization. J. Inverse Ill-Posed Probl., Bd. 28 (1), S. 119-135.
  • Bors, A. (2020) Finite groups with only small automorphism orbits. Journal of Group Theory, Bd. 23 (4), S. 659--696.
  • Bors, A. (2020) Finite groups with an automorphism that is a complete mapping. Monatshefte für Mathematik, Bd. 193 (1), S. 1--12.
  • Kapl, Mario; Sangalli, Giancarlo; Takacs, Thomas (2020) Isogeometric analysis with C1 functions on planar, unstructured quadrilateral meshes. SMAI Journal of Computational Mathematics, Bd. S5, S. 67-86.
  • Abdelaziz, Youssef; Boukraa, Salah; Koutschan, Christoph; Maillard, Jean-Marie (2020) Heun functions and diagonals of rational functions. Journal of Physics A: Mathematical and Theoretical, Bd. 53 (7), S. 075206. (link)
  • P. Kritzer, ; F. Pillichshammer, ; L. Plaskota, ; Wasilkowski, G.W. (online: 2020) On efficient weighted integration via a change of variables. Numerische Mathematik, Bd. n.a., S. to appear.
  • Stepaniuk, T. (online: 2020) Hyperuniform point sets on flat tori: deterministic and probabilistic aspects. Constructive Approximation, Bd. to appear, S. n.a.
  • P. Kritzer, ; F. Pillichshammer, ; Wozniakowski, H. (online: 2020) Exponential tractability of linear weighted tensor product problemsin the worst-case setting for arbitary linear functionals. Journal of Complexity, Bd. 61, S. 101501.
  • Schneckenleitner, Rainer; Takacs, Stefan (online: 2020) Condition number bounds for IETI-DP methods that are explicit in h and p. Mathematical Models and Methods in Applied Sciences.
  • Bracco, Cesare; Giannelli, Carlotta; Kapl, Mario; Vazquez, Rafael (online: 2020) Isogeometric analysis with C1 hierarchical functions on planar two-patch geometries. Computers & Mathematics with Applications.

Book/Monograph
  • F. J. Hickernell, P. Kritzer (eds.) (2020) Multivariate Algorithms and Information-Based Complexity., hrsg. v. Radon Series on Computational and Applied Mathematics, 27; Berlin: de Gruyter.

Conference Contribution: Publication in Proceedings
  • Hao Du, Jing Guo, Ziming Li and Elaine Wong (2020) An Additive Decomposition in Logarithmic Towers and Beyond. In: Ioannis Emiris, Lihong Zhi (Hrsg.), Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation (ISSAC 2020); Greece: ACM, S. 146-153. (link)
  • Grasegger, Georg; Legerský, Jan (2020) FlexRiLoG—A SageMath Package for Motions of Graphs. In: Bigatti, A. and Carette, J. and Davenport, J. and Joswig, M. and de Wolff, T. (Hrsg.), Mathematical Software – ICMS 2020 (ICMS 2020) In Reihe: Lecture Notes in Computer Science, S. 442-450. (link)
  • Dewar, Sean; Grasegger, Georg; Legerský, Jan (2020) Computing Animations of Linkages with Rotational Symmetry. In: Informatik, Schloss Dagstuhl--Leibniz-Zentrum für (Hrsg.), 36th International Symposium on Computational Geometry (SoCG 2020) In Reihe: Leibniz International Proceedings in Informatics (LIPIcs). (link)
  • Ebert, A.; Kritzer, P.; Nuyens, D. (2020) Constructing QMC Finite Element Methods for Elliptic PDEs with Random Coefficients by a Reduced CBC Construction. In: L'Ecuyer, P.; Tuffin, B. (Hrsg.), Monte Carlo and Quasi-Monte Carlo Methods 2018; Cham: Springer, S. 183-205.
  • Hickernell, F. J.; Kritzer, P.; Wozniakowski, H. (2020, online: 2019) Exponential tractability of linear tensor productproblems. In: Wood, D.R.; DeGier, J.; Praeger, C.; Tao, T. (Hrsg.), 2018 MATRIX Annals; Cham: Springer, S. 61-78.
  • Ramlau, Ronny; Koutschan, Christoph; Hofmann, Bernd (2020) On the Singular Value Decomposition of n-Fold Integration Operators. In: Cheng, Jin; Lu, Shuai; Yamamoto, Masahiro (Hrsg.), Inverse Problems and Related Topics (ICIP2 2018 Shanghai, China) In Reihe: Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 310); Singapore: Springer, S. 237-256. (link)

Contribution in Collection
  • Koutschan, Christoph; Wong, Elaine (2020) Exact Lower Bounds for Monochromatic Schur Triples and Generalizations. In: Pillwein, Veronika; Schneider, Carsten (Hrsg.), Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra, S. 223-248. (link)
  • Stepaniuk, T. (2020) Order estimates of best orthogonal trigonometric approximations of classes of infinitely differentiable functions. In: Raigorodskii, A.M.; Rassias, M. Th. (Hrsg.), Trigonometric Sums and Their Applications; Cham: Springer, S. 273-287.
  • Cluzeau, Thomas; Koutschan, Christoph; Quadrat, Alban; Tonso, Maris (2020) Effective algebraic analysis approach to linear systems over Ore algebras. In: Quadrat, Alban; Zerz, Eva (Hrsg.), Algebraic and Symbolic Computation Methods in Dynamical Systems: Springer, S. 3-52. (link)
  • Ding, Y.; Hickernell, F.J.; Kritzer, P.; Mak, S. (2020) Adaptive approximation for multivariate linear problems with inputs lying in a cone. In: Hickernell, F.J.; Kritzer, P. (Hrsg.), Multivariate Algorithms and Information-Based Complexity; Berlin/Boston: DeGruyter, S. 109-145.
  • Ramlau, Ronny; Koutschan, Christoph; Hofmann, Bernd (2020) On the singular value decomposition of n-fold integration operators. In: Cheng, Jin; Lu, Shuai; Yamamoto, Masahiro (Hrsg.), Inverse Problems and Related Topics; Singapore: Springer, S. 237-256. (link)

Dissertation
  • Warren, A. (2020) The Sum-Product Phenomenon and Discrete Geometry. Doktorarbeit, Institute for Financial Mathematics and Applied Number Theory, JKU Linz, Linz.
  • Dewar, Sean (2020) The rigidity of countable frameworks in normed spaces. Doktorarbeit, Department of Mathematics and Statistics, Lancaster University, Lancaster.