Peer Reviewed Journal Publication

Peer Reviewed Journal Publication

  • Merai, Laszlo; Shparlinski, Igor E. (2021) On the dynamical system generated by the Möbius transformation at prime times. Res. Math. Sci., Bd. 8 (1), S. ARTN 10.
  • Schneider, Magdalena; Telschow, Roger; Mercier, Gwenael; López-Martinez, Montserrat; Scherzer, Otmar et al. [..] (2021) A workflow for sizing oligomeric biomolecules based on cryo single molecule localization microscopy. PLoS ONE, Bd. 1 (16), S. 23.
  • Ramlau, R.; Dykes, L.; Reichel, L.; Soodhalter, K.; Wagner, R. (2021, online: 2020) Lanczos-based fast blind deconvolution methods. Journal of Computational and Applied Mathematics, Bd. Volume 382, S. 113067.
  • Grošelj, Jan; Kapl, Mario; Knez, Marjeta; Takacs, Thomas; Vitrih, Vito (2020) A super-smooth C1 spline space over planar mixed triangle and quadrilateral meshes. Computers & Mathematics with Applications, Bd. 80 (12), S. 2623-2643.
  • Hu, Guanghui; Mantile, Andrea; Sini, Mourad; Yin, Tao (2020) DIRECT AND INVERSE TIME-HARMONIC ELASTIC SCATTERING FROM POINT-LIKE AND EXTENDED OBSTACLES. Inverse Probl. Imaging, Bd. 14 (6), S. 1025-1056.
  • Grasegger, Georg; Legerský, Jan; Schicho, Josef (2020) On the Classification of Motions of Paradoxically Movable Graphs. Journal of Computational Geometry, Bd. 11 (1), S. 548-575.
  • Aspri, Andrea; Korolev, Yury; Scherzer, Otmar (2020) Data driven regularization by projection. Inverse Probl., Bd. 36 (12), S. ARTN 125009.
  • Pirsic, I. (2020) Magische Quadrat-Quadrate und Divisionsalgebren. Mathematische Semesterberichte, Bd. 67 (2), S. 169--183.
  • Makhul, M.; Warren, A.; Winterhof, A. (2020) The spherical Kakeya problem in finite fields. SIAM J. Discrete Math., Bd. 34 (4), S. 2502--2509.
  • Sherina, E.; Krainz, L.; Hubmer, S.; Drexler, W.; Scherzer, O. (2020) Displacement field estimation from OCT images utilizing speckle information with applications in quantitative elastography. Inverse Problems, Bd. 36 (12), S. 124003.
  • P. Kritzer, ; F. Pillichshammer, ; Wozniakowski, H. (2020) Exponential tractability of linear weighted tensor product problemsin the worst-case setting for arbitary linear functionals. Journal of Complexity, Bd. 61, S. 101501.
  • Serdyuk, A.S.; Stepaniuk, T. (2020) Asymptotically best possible Lebesgue-type inequalities for the Fourier sums on sets of generalized Poisson integrals. Filomat, Bd. 34 (14), S. n.a.
  • Faucher, Florian; Scherzer, Otmar (2020) Adjoint-state method for Hybridizable Discontinuous Galerkin discretization, application to the inverse acoustic wave problem. Comput. Methods Appl. Mech. Engrg., Bd. 372, S. 113406.
  • Birner, Katharina; Jüttler, Bert; Mantzaflaris, Angelos (2020) Approximation power of C1-smooth isogeometric splines on volumetric two-patch domains. Lecture Notes in Computational Science and Engineering, Bd. 133, S. tba.
  • Bracco, Cesare; Giannelli, Carlotta; Kapl, Mario; Vazquez, Rafael (2020) Isogeometric analysis with C1 hierarchical functions on planar two-patch geometries. Computers & Mathematics with Applications, Bd. 80 (11), S. 2538-2562.
  • Jodlbauer, D.; Langer, U.; Wick, T. (2020) Matrix-free multigrid solvers for phase-field fracture problems. Comput. Meth. Appl. Mech. Eng., Bd. 372, S. ARTN 113431.
  • Gomez, D.; Winterhof, A. (2020) A note on the cross-correlation of Costas permutations. IEEE Transactions on Information Theory, Bd. 66 (12), S. 7724--7727.
  • Isik, L.; Winterhof, A. (2020) On the index of the Diffie-Hellman mapping. Applicable Algebra in Engineering, Communication and Computing, Bd. to appear, S. 10.
  • Bors, A.; Giudici, M.; Praeger, C. E. (2020) Automorphism orbits and element orders in finitegroups: almost-solubility and the monster. Mem. Amer. Math. Soc., Bd. to appear, S. 10.
  • Bors, A. (2020) Worst-case approximability of functions on finite groups by endomorphisms and affine maps. J. Algebra Appl., Bd. to appear, S. 1-10.

Book/Monograph

Book/Monograph

  • J.A. Carrillo, M. Fornasier, G. Toscani, F. Vecil Particle, kinetic, hydrodynamic models of swarming., hrsg. v. Pareschi, Lorenzo; Naldi, Giovanni; Toscani, Giuseppe: Birkhäuser.
  • Lu, Shuai; Jr., Sergiy Pereverzyev; Sampath, Sivananthan Multi-parameter regularizationfor construction of extrapolating estimators instatistical learning theory. In Reihe: Lecture Notes in Electrical Engineering, hrsg. v. Xiaoping Shen, Ahmed I Zayed: Springer.

Conference Contribution: Publication in Proceedings

Conference Contribution: Publication in Proceedings

  • Emans, M. (2011) Algebraic Multigrid Preconditioning for Mixed Elliptic-Hyperbolic Problems., Proceedings of the IV International Conference on Computational Methods for Coupled Problems in Science and Engineering (IV International Conference on Computational Methods for Coupled Problems in Science and Engineering).
  • Sini, Mourad; Nguyen, Trung Thanh (2011) Reconstruction of acoustic obstacles using multifrequency scattering data., Proceedings of the 10th International Conference on Mathematical and Numerical Aspects of Waves (The 10th International Conference on Mathematical and Numerical Aspects of Waves); Vancouver: Pancific Institute for the Mathematical Sciences, S. 477--480.
  • Vybiral, Jan (2011) Generating random signals and sparse and compressible vectors. (9th International Conference on Sampling Theory and Applications (SampTA 2011)); Singapore.
  • Angelos Mantzaflaris, Bernard Mourrain (2011) Deflation and Certified Isolation of Singular Zeros of Polynomial Systems.; San Jose: ACM.
  • J. Kraus, M. Lymbery, S. Margenov (2011) On the robustness of two-level preconditioners for quadratic FE orthotropic elliptic problems. In: I. Lirkov, S. Margenov, J. Wasniewski (Hrsg.), Large Scale Scientific Computing (8th International Conference on "Large-Scale Scientific Computations") In Reihe: Lecture Notes in Computer Science; Berlin, Heidelberg: Springer, S. 8.
  • Kraus, J. (2011) Additive Schur complement approximation for elliptic problems with oscillatory coefficients. In: I. Lirkov, S. Margenov, J. Wasniewski (Hrsg.), Large-Scale Scientific Computing (8th International Conference on "Large-Scale Scientific Computations") In Reihe: Lecture Notes in Computer Science; Berlin, Heidelberg: Springer, S. 8.
  • Hofreither, C.; Langer, U.; Pechstein, C. (2011) A non-standard finite element method for convection-diffusion-reaction problems on polyhedral meshes. In: Todorov, Michail D.; Christov, Christo I. (Hrsg.), Application of Mathematics in Technical andNatural Sciences, volume 1404 of AIP Conference Proceedings (3rd International Conference - AMiTaNS 2011), S. 397 - 404.
  • Nguyen, Trung Thanh; Dinh Nho, Hao; Sahli, Hichem (2011) Passive infrared technique for buried object detection and classification., Proceedings of the Computer Vision and Pattern Recognition workshops, IEEE Computer Society Conference (8th IEEE Workshop on Object Tracking and Classification beyond Visible Spectrum, IEEE Computer Society Conference on Computer Vision and Pattern Recognition): IEEE Computer Society, S. 1--6.
  • D. Copeland, M. Kohlbauer, and U. Langer (2011) Domain decomposition solvers for frequency-domain finite element equations. In: Y. Huang, R. Kornhuber, O. Widlund and J. Xu (Hrsg.), Domain Decomposition Methods in Science and Engineering XIX (DDM XIX) In Reihe: Lecutre Notes in Computational Science and Engineering; Heidelberg: Springer, S. 301-308.
  • Fuchs, Matthias; Scherzer, Otmar (2011) Regularized reconstruction of M-Rep shapes with statistical a priori knowledge., Trends in Mathematical Imaging and Surface Processing (Trends in Mathematical Imaging and Surface Processing) In Reihe: Oberwolfach Reports.
  • M. Su, A. Winterhof (2011) Correlation of order k and linear complexity profile of Legendre-Sidelnikov sequences., IWSDA 2011, S. 1-4.
  • Boulanger, Jérôme; Elbau, Peter; Pontow, Carsten; Scherzer, Otmar (2011) Non-Local Functionals for Imaging. In: Bauschke, Heinz; Burachik, Regina; Combettes, Patrick; Elser, Veit; Luke, Russell et al. [..] (Hrsg.), Fixed-Point Algorithms for Inverse Problems in Science and Engineering: Springer.
  • Frühauf, Florian; Pontow, Carsten; Scherzer, Otmar (2011) Texture Enhancing Based on Variational Image Decomposition. In: Bergounioux, Maïtine (Hrsg.), Mathematical Image Processing (Mathematics and Image Processing) In Reihe: Springer Proceedings in Mathematics; Berlin Heidelberg: Springer, S. 127-140.
  • I. Georgiev, J. Kraus, M. Limbery, and S. Margenov (2011) On two-level splittings for quadratic FEM anisotropic elliptic problems., BGSIAM’10 Proceedings (Fifth Annual Meeting of the Bulgarian Section of SIAM); Sofia: Demetra, S. 35-40.
  • Jenny Niebsch, Ronny Ramlau, Christina Brandt (2011) Unbalances in ultra-precision cutting machinery and the relation to surface quality. (9. Internationale tagung Schwingungen in rotierenden Maschinen); Darmstadt.
  • Madalina Hodorog, Bernard Mourrain, Josef Schicho (2011) A Symbolic-Numeric Algorithm for Computing the Alexander Polynomial of a Plane Curve Singularity., Proceeding of the 12th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing 2010.
  • B. Ayuso, I. Georgiev, J.K. Kraus, L. Zikatanov (2011) A simple preconditioner for the SIPG discretization of linear elasticity equations. In: Dimov, Ivan; Dimova, Stefka; Kolkovska, Natalia (Hrsg.), Numerical Methods and Applications (7th International Conference, NMA 2010) In Reihe: Lecture Notes in Computer Science, 6046; Berlin, Heidelberg: Springer, S. 353-360.
  • I. Georgiev, M. Limbery, S. Margenov (2011) Analysis of the CBS constant for quadratic finite elements. In: Dimov, Ivan; Dimova, Stefka; Kolkovska, Natalia (Hrsg.), Numerical Methods and Applications (7th International Conference, NMA 2010) In Reihe: Lecture Notes in Computer Science, 6046; Berlin, Heidelberg: Springer, S. 412-419.
  • Markowich, P.A. (2010) Numerical Analysis of Schrödinger Equations in the Highly oscillatory Regime. (International Congress of Mathematicians 2010, Hyderabad).
  • Yang, H.; Zulehner, W. (2010) A Newton Based FluidStructure Interaction Solver with Algebraic Multigrid Methods on Hybrid Meshes. In: Y. Huang, R. Kornhuber, O. Widlund, J. Xu, (Hrsg.), Domain Decomposition Methods in Science and Engineering XIX (Domain Decomposition Methods in Science and Engineering XIX) In Reihe: Lecture Notes in Computational Science and Engineering, S. 285-292.

Contribution in Collection

Contribution in Collection

  • 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.
  • Langer, U.; Neumüller, M. (2017) Direct and iterative solvers. In: Kaltenbacher, M. (Hrsg.), Computational Acoustics, 579. Aufl.: Springer-Verlag, S. 205-251.

Dissertation

Dissertation

  • Hufnagl, D. Strongly correlated dipolar Bose gases., Institut für Theoretische Physik, Johannes Kepler Universität, Linz.
  • Scholz, Felix Efficient Matrix Assembly for Isogeometric Analysis. Doktorarbeit, Johannes Kepler Universität Linz.

Habilitation

Habilitation

  • 1
  • Roche-Newton, Oliver (2021) Sums, Products and Growth., Johannes Kepler University, Linz.
  • Takacs, Stefan (2020) Robust multigrid solvers and related topics., Institut für Numerische Mathematuk, Universität Linz, Linz.
  • Kapl, Mario (2020) Smooth isogeometric spline spaces for multi-patch geometries.
  • Rodrigues, Sergio S. (2019) Feedback exponential stabilizability of nonautonomous parabolic-like systems., Institut für Mathematik und Wissenschaftliches Rechnen, Karl-Franzens-Universität Graz, Graz.
  • 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.
  • Beuchler, Sven (2009) Fast solvers for $hp$-finite element discretizations of elliptic boundary value problems two and three space dimensions. Habilitationsschrift, TNF-Fakultaet, JKU Linz.
  • Kuijper, Arjan (2008) Deep Structure, Singularities, and Computer Vision. Habilitationsschrift, Institute for Computer Graphics and Vision, Technical University Graz, Graz.
  • Fornasier, Massimo (2008) Compressive Algorithms. Adaptive Solutions of PDE’s and Variational Problems. Habilitationsschrift, Fakultät für Mathematik, Vienna, Vienna.
  • 1

Editorship

Editorship

  • Filipuk, Galina; Koutschan, Christoph; Marcellán, Francisco; Assche, Walter Van (Hrsg.) (2021) Special issue OPSFA15: orthogonal polynomials, special functions and applications. In Reihe: Integral Transforms and Special Functions: Taylor & Francis.
  • Brummelen, Harald van; Vuik, Cornelis; Möller, Matthias; Verhoosel, Clemens; Simeon, Bernd et al. [..] (Hrsg.) (2020) Isogeometric Analysis and Applications 2018. In Reihe: Lecture Notes in Computational Science and Engineering, 133. Aufl.: Springer International Publishing.
  • (2019) The Radon Transform. The first 100 years and beyond. In Reihe: Radon Series on Computational and Applied Mathematics; Berlin: de Gruyter.
  • (2019) Maxwell's Equations: Analysis and Numerics. In Reihe: Radon Series on Computational and Applied Mathematics; Berlin: de Gruyter.
  • (2019) Space-time Methods. In Reihe: Radon Series on Computational and Applied Mathematics; Berlin: de Gruyter.
  • (2019) Advanced Finite Element Methods with Applications: Selected Papers from the 30th Chemnitz Finite Element Symposium 2017. In Reihe: Lecture Notes in Computational Science and Engineering; Cham: Springer Nature Switzerland AG.
  • G. Leobacher, E. Buckwar, P. Kritzer, F. Pillichshammer, A. Winterhof (Hrsg.) (2018) Mathematics and computers in simulation: Special issue 10th IMACS seminar on Monte Carlo methods., 143. Aufl.
  • Jüttler, Bert; Liu, Yong-Jin; Vouga, Etienne (Hrsg.) (2017) Special Issue on "Geometric Modeling and Processing". : Computer Aided Geometric Design.
  • Udo Hertrich-Jeromin, Bert Jüttler, Josef Schicho (Hrsg.) (2017) New developments in geometry. Theory and applicationsSpecial Issue of Compuer Aided Geometric Design. In Reihe: Computer Aided Geometric Design, Bd. 106.
  • (2015) Editorial. In Reihe: Computational Methods in Applied Mathematics, Bd. 15.
  • Schicho, S. Di Rocco and J. (Hrsg.) (2014) Computational Algebrac Geometry (special issue). In Reihe: Mathematics in Cpmputer Science Volume 8 Issue 2, Bd. 151.
  • Schicho, D. Ellwood and H. Hauser and S. Mori and J. (Hrsg.) (2014) The Resolution of Singular Algebraic Varieties. In Reihe: Clay Mathematics Proceedings, Bd. 151.
  • Barkatou, Moulay; Cluzeau, Thomas; Regensburger, Georg; Rosenkranz, Markus (Hrsg.) (2014) Algebraic and Algorithmic Aspects of Differential and Integral Operators,5th International Meeting, AADIOS 2012. In Reihe: Lecture Notes in Computer Science (LNCS); Berlin / Heidelberg: Springer (201 Seiten).
  • Bredies, K.; Clason, C.; Kunisch, K.; Winckel, G. von (Hrsg.) (2013) Control and Optimization with PDE Constraints. In Reihe: International Series of Numerical Mathematics (Buch 164): Birkhäuser.
  • Schicho, A. Dickenstein and S. Di Rocco and E. Hubert and J. (Hrsg.) (2013) Effective Methods in Algebraic Geometry. In Reihe: Journal of Symbolic Computation, Bd. 151.
  • Bredies, K.; Clason, C.; Kunisch, K.; Winckel, G. von (Hrsg.) (2013) Control and Optimization with PDE Constraints. In Reihe: International Series of Numerical Mathematics, hrsg. v. Birkhäuser.
  • (2011) A note on the spaces of variable integrability and summability of Almeida and H"ast"o. .
  • Scherzer, Otmar (Hrsg.) (2011) Handbook of Mathematical Methods in Imaging., 1. Aufl.; New York: Springer.
  • (2009) A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs. .
  • (2009) Algebraic properties of modulo q completeℓ-wide families. .