All Publications

Rudnev, M.; Stevens, S. (2021) An update on the sum-product problem. Mathematical Proceedings of the Cambridge Philosophical Society, Bd. n/a, S. 1-20.

Roche-Newton, O. (2021) Sums, products and dilates on sparse graphs. SIAM Journal on Discrete Mathematics 35, Bd. 1, S. 194-204.

Hanson, B.; Roche-Newton, O.; Rudnev, M. (2021) Higher convexity and iterated sum sets. Combinatorica, Bd. to appear, S. 15pp.

Takacs, Stefan (online: 2021) Discretization error estimates for discontinuous Galerkin Isogeometric Analysis. Applicable Analysis.

Kotsireas, Ilias; Koutschan, Christoph (2021) Legendre pairs of lengths ℓ≡0 (mod3). Journal of Combinatorial Designs, Bd. 29 (12), S. 870-887.

Zhelezov, D. and Pálvölgyi, D. (2021) Query complexity and the polynomial Freiman-Ruzsa conjecture. Advances in Mathematics, Bd. 392, S. 18.

Swaenepoel, C.; Winterhof, A. (2021) Additive double character sums over some structured sets and applications. Acta Arithmetica, Bd. 199 (2), S. 135--143.

Mérai, L.; Ostafe, A.; Shparlinski, I.E. (2021) Dynamical irreducibility of polynomials in reduction modulo primes. Mathematische Zeitschrift, Bd. 298 (3-4), S. 1187--1199.

Roche-Newton, O.; Warren, A. (2021) New expander bounds from affine group energy. Discrete & Computational Geometry, Bd. 66 (2), S. 552-574.

Makhul, M. (2021) On the number of perfect triangles with a fixed angle. Discrete Comput. Geom., Bd. 66 (3), S. 1143--1149.

Bors, A. (2021) Computation of orders and cycle lengths of automorphisms of finite solvable groups. J. Symb. Comput., Bd. 108, S. 117--136.

Dewar, Sean (online: 2021) Flexible Placements of Periodic Graphs in the Plane. Discrete and Computational Geometry, Bd. ?, S. ? <'https://doi.org/10.1007/s00454-021-00328-x'>.

Ebert, A.; Kritzer, P.; Osisiogu, O.; Stepaniuk, T. (online: 2021) Component-by-component digit-by-digit construction of good polynomial lattice rules in weighted Walsh spaces. Constructive Approximation, Bd. n.a., S. to appear.

Winterhof, A.; Xiao, Z. (2021) Binary Sequences Derived From Differences of Consecutive Primitive Roots. IEEE Trans. Inf. Theory, Bd. 67 (8), S. 5334--5338.

Schneckenleitner, Rainer; Takacs, Stefan (online: 2021) Convergence theory for IETI-DP solvers for discontinuous Galerkin Isogeometric Analysis that is explicit in h and p. Computational Methods in Applied Mathematics, Bd. online first, S. online first.

Grasegger, Georg; Legerský, Jan (online: 2021) Bracing frameworks consisting of parallelograms. The Art of Discrete and Applied Mathematics, Bd. 5 (2), S. P2.03:1-21.

Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru (online: 2021) Partial inversion of the 2D attenuated X-ray transform with data on an arc. Inverse Probl. Imaging.

Bors, A.; Shalev, A. (2021) Words, permutations, and the nonsolvable length of a finite group. J. Comb. Algebra, Bd. 5 (2), S. 93--122.

Barroero, F.; Capuano, L.; Mérai, L.; Ostafe, A.; Sha, M. (2021) Multiplicative and linear dependence in finite fields and on elliptic curves modulo primes. International Mathematics Research Notices, Bd. to appear, S. 23.

Makhul, M.; Roche-Newton, O.; Stevens, S.; Warren, A. (2021) The Elekes-Szabo problem and the uniformity conjecture. Israel Journal of Mathematics, Bd. to appear, S. 23.

Ramlau, R.; Scherzer, O. (2019) 100 years Mathematical Tomography.

Sini, Mourad (2015) Inverse Spectral Problems, 1-D, Theoretical Results. In Reihe: Encyclopedia of Applied and Computational Mathematics, Bd. 2015.

Schmidt, K. U.; Winterhof, A. (2014) Sequences and Their Applications SETA 2014. In Reihe: Lecture Notes Computer Science, 8865. Aufl.: Springer.

P. Kritzer, H. Niederreiter, F. Pillichshammer, A. Winterhof (Eds.) (2014) Uniform Distribution and Quasi-Monte Carlo Methods: Discrepancy, Integration and Applications. In Reihe: Radon Series on Computational and Applied Mathematics, 15. Aufl.; Berlin: de Gruyter.

H. Niederreiter, A. Ostafe, D. Panario, A. Winterhof (Eds.) (2014) Algebraic Curves and Finite Fields: Cryptography and Other Applications. In Reihe: Radon Series on Computational and Applied Mathematics, 16. Aufl.; Berlin: de Gruyter.

G. Larcher, F. Pillichshammer, A. Winterhof, C. Xing (Eds.) (2014) Applied Algebra and Number Theory: Essays in Honour of Harald Niederreiter (on the occasion of his 70th birthday).; Cambridge: Cambridge University Press.

Kuijper, A. (2007) Qualitative and Quantitative Behaviour of Geometrical PDEs in Image Processing,., 8th Asian Conference on Computer Vision, ACCV 2007 (8th Asian Conference on Computer Vision, ACCV 2007) In Reihe: LNCS 4843; Tokyo, Japan: Springer, S. 230--239.

A.Kuijper (2007) Image Processing with Geometrical and Variational PDEs., 31st annual workshop of the Austrian Association for Pattern Recognition (OAGM/AAPR), OEAGM07 (31st annual workshop of the Austrian Association for Pattern Recognition (OAGM/AAPR), OEAGM07); Schloss Krumbach: OCG, S. 89--96.

Kuijper, A. (2007) Image analysis using p-Laplacian and geometrical PDEs., 6th International Congress on Industrial and Applied Mathematics, ICIAM 2007 (Zurich, Switzerland, 16-20 July 2007) (6th International Congress on Industrial and Applied Mathematics, ICIAM 2007 (Zurich, Switzerland, 16-20 July 2007)), S. 157.

Havukkala, A. Kuijper and I. (2007) Computationally Efficient Matching of MicroRNA Shapes using Mutual Symmetry., 9th IASTED International Conference on Signal and Image Processing (SIP 2007, Honolulu, Hawaii, USA, August 20-22, 2007) (9th IASTED International Conference on Signal and Image Processing (SIP 2007, Honolulu, Hawaii, USA, August 20-22, 2007)), S. 477--482.

A.Kuijper (2007) p-Laplacian driven image processing., 14th International Conference on Image Processing, ICIP 2007 (San Antonio, Texas, USA, 16-19 September 2007) (14th International Conference on Image Processing, ICIP 2007 (San Antonio, Texas, USA, 16-19 September 2007)) In Reihe: Proceedings ICIP - IEEE: IEEE, S. Vol. V, pages 257--260.

Kuijper, A. (2007) Qualitative and Quantitative Behaviour of Geometrical PDEs in Image Processing., LNCS 4843 (8th Asian Conference on Computer Vision, ACCV 2007 (Tokyo, Japan, Nov. 18-22, 2007)) In Reihe: LNCS: Springer, S. 230--239.

M. Hahn, W. Putschögl, J. Sass (2007) Parameter Estimation for Stock Models with Non-Constant Volatility using Markov Chain Monte Carlo Methods. In: K.-H. Waldmann, U.M. Stocker (Hrsg.), Operations Research Proceedings 2006 (Operations Research 2006) In Reihe: Operations Research Proceedings; Berlin: Springer, S. 227-232.

Lu J, Engl HW, Schuster P (2007) Inverse bifurcation analysis of a model for the mammalian G1/S regulatory module. In: Hochreiter S, Wagner R (Hrsg.), Lecture Notes in Bioinformatics (Bioinformatics Research and Development); Berlin: Springer, S. 168-184.

H.W. Engl, J. Lu, R. Machné, P. Schuster (2007) Inverse bifurcation analysis of a model for the mammalian G1/S regulatory module. In: Verlag, Springer (Hrsg.), Proceedings of Bioinformatics in Research and Devlopment, Lecture Notes in Bioinformatics (LNBI 4414), S. 168-184.

I. Georgiev, J.K. Kraus, S. Margenov (2007) Multilevel preconditioning of 2D Rannacher-Turek FE problems; Additive and multiplicative methods. In: T. Boyanov, S. Dimova, K. Georgiev, G. Nikolov (Hrsg.), Numerical Methods and Applications (NMA 2006) In Reihe: Lecture Notes in Computer Science (LNCS) 4310, hrsg. v. D. Hutchison, et al.; Berlin, Heidelberg: Springer, S. 56-64.

D. Gomez, J. Gutierrez, A. Ibeas (2007) An algorithm for finding small roots of multivariate polynomials over the integers., LLL+25; Paris, S. to appear.

Brandstätter, Nina; Winterhof, Arne (2007) k-Error Linear Complexity of Generalisations of Sidelnikov Sequences.

Kraus, J.K. (2006) On the utilization of edge matrices in algebraic multigrid. In: Lirkov, I.; Margenov, S.; Wasniewski, J. (Hrsg.), Large-Scale Scientific Computations In Reihe: Lecture Notes in Computer Science (LNCS) 3743: Springer, S. LSSC 2005.

Winterhof, A. (2006) On the distribution of some new explicit inversive pseudorandom numbers and vectors. In: H. Niederreiter, D. Talay (Hrsg.), MC2QMC 2004: Springer, S. 487-499.

R. Griesse, S. Volkwein (2006) Parametric Sensitivity Analysis for Optimal Boundary Control of a 3D Reaction-Diffusion System. In: G. Di Pillo, M. Roma (Hrsg.), Large-Scale Nonlinear Optimization In Reihe: Nonconvex Optimization and its Applications, Bd. 83: Springer, S. 127-149.

F. Piroi, A. Winterhof (2006) Quantum period reconstruction of binary sequences., AAECC In Reihe: Lecture Notes Computer Science, Bd. 3857, S. 60-67.

Sass, J. (2006) Portfolio optimization under partial information and convex constraints in a hidden Markov model. In: H.-D. Haasis, H. Kopfer, J. Schönberger (Hrsg.), Operations Research 2005 Proceedings: Springer, Berlin, S. 223-228.

T. Apel, A. Rösch, G. Winkler (2006) Discretization error estimates for an optimal control problem in a nonconvex domain., Numerical Mathematics and Advanced Applications, Proceedings of the ENUMATH 2005 the 6th European Conference on Numerical Mathematics and Advanced Applications , Santiago de Compostela, Spain; Berlin: Springer, S. 299-307.

Koutschan, Christoph (2021) Holonomic anti-differentiation and Feynman amplitudes. In: Blümlein, Johannes; Schneider, Carsten (Hrsg.), Anti-Differentiation and the Calculation of Feynman Amplitudes, S. 261-277.

Ronny, Ramlau; Jenny, Niebsch (2021) Tomographic Reconstruction for Single Conjugate Adaptive Optics. In: Barbara, Kaltenbacher; Thomas, Schuster; Anne, Wald (Hrsg.), Time-dependent Problems in Imaging and Parameter Identification: Springer, S. 303-322.

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.

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.

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.

Amann, Dominic (2019) On Recent Numerical Methods for Steady Periodic Water Waves. In: Henry, David; Kalimeris, Konstantinos; Părău, Emilian; Vanden-Broeck, Jean-Marc; Wahlén, Erik (Hrsg.), Nonlinear Water Waves: An Interdisciplinary Interface: Birkhäuser Basel, S. 139-149 <'https://www.springer.com/de/book/9783030335359'>.

N. Anbar, A. Ozdak, V. Patel, L. Quoos, A. Somoza, A. Topuzoğlu (2019) On the Carlitz rank of permutation polynomials: Recent developments. In: Bouw, I., Özman, E., Johnson-Leung, J., Newton, R. (Hrsg.), Proceedings of Women in Numbers Europe 2: Springer, S. 39--55.

Scholz, Felix; Mantzaflaris, Angelos; Jüttler, Bert (2019) First Order Error Correction for Trimmed Quadrature in Isogeometric Analysis. In: Apel, Thomas; Langer, Ulrich; Meyer, Arnd; Steinbach, Olaf (Hrsg.), Advanced Finite Element Methods with Applications: Springer International Publishing.

Cesmelioglu, A.; Meidl, W.; Pott, A. (2019) A survey on bent functions and their duals. In: Schmidt, K.-U.; Winterhof, A. (Hrsg.), Combinatorics and Finite Fields, S. 39--56.

Sergei V. Pereverzyev, Evgeniya V. Semenova and Pavlo Tkachenko (2019) Regularized Quadrature Methods for Fredholm Integral Equations of the First Kind. In: Josef Dick, Frances Y. Kuo, Henryk Wozniakowski (Hrsg.), Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan: Springer.

Kritzer, P.; Niederreiter, H.; Pillichshammer, F. (2018) Ian Sloan and Lattice Rules. In: Dick, J.; Kuo, F.Y.; Wozniakowski, H. (Hrsg.), Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan: Springer, S. 741-769.

Kritzer, P.; Pillichshammer, F.; Wasilkowski, G.W. (2018) Truncation Dimension for Function Approximation. In: Dick, J.; Kuo, F.Y.; Wozniakowski, H. (Hrsg.), Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan: Springer, S. 771-792.

Sergei V. Pereverzyev, Evgeniya Semenova and Pavlo Tkachenko (2018) Regularized Quadrature Methods for Fredholm Integral Equations of the First Kind. In: Josef Dick, Frances Y. Kuo, Henryk Wozniakowski (Hrsg.), Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan: Springer.

Koutschan, Christoph; Paule, Peter (2018) Holonomic tools for basic hypergeometric functions. In: Nashed, Zuhair; Li, Xin (Hrsg.), Frontiers in Orthogonal Polynomials and q-Series: World Scientific, S. 393-416.

Kalimeris, K. (2018) Analytical approximation and numerical simulations for periodic travelling water waves. In: Society, Royal (Hrsg.): PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A.

Langer, Ulrich; Yang, Huidong (2017) Recent development of robust monolithic fluid-structure interaction solvers. In: Frei, Stefan; Holm, Bärbel; Richter, Thomas; Wick, Thomas; Yang, Huidong (Hrsg.), Fluid-Stucture Interaction: Modeling, Adaptive Discretizations and Solvers; Berlin, Boston: de Gruyter, S. 169-191.

R. Hofer, L. Merai, A. Winterhof (2017) Measures of pseudorandomness: Arithmetic autocorrelation and correlation measure. In: C. Elsholtz, P. Grabner (Hrsg.), Number Theory - Diophantine problems, uniform distribution and applications, Festschrift in honour of Robert F. Tichy's 60th birthday.: Springer, S. 303-312.

Winkler, Christoph (2015) A close look at actin driven movement. Doktorarbeit.

Roche-Newton, Oliver (2021) Sums, Products and Growth., Johannes Kepler University, Linz.

Koutschan, Christoph (2017) Quod Erat Demonstrandum: Proofs by Computer.

Kügler, Philipp (2013) Inverse Problems for Differential Equations with Partial State Observations and Applications in Mathematical Physiology.

(2005) An Optimal Transportation Metric for Solutions of the Camassa-Holm Equation. .

Domain Decomposition Methods in Science and Engineering XVII., Bd. XVII; Heidelberg: Springer.

Kunisch, K.; Leugering, G.; Sprekels, J.; Tröltzsch, F. (Hrsg.) Control of Coupled Partial Differential Equations. In Reihe: International Series of Numerical Mathematics, hrsg. v. Birkhäuser.