Publications | Mathematical modelling, analysis and computing with applications to complex mechanical systems

Published papers

2018

$[DOI]$ N. Bosner, Z. Bujanović, and Z. Drmač, “Parallel Solver for Shifted Systems in a Hybrid CPU–GPU Framework,” SIAM Journal on Scientific Computing, vol. 40, iss. 4, p. C605-C633, 2018.
[Bibtex]

@article{BosBujDrm18,
author = {Bosner, Nela and Bujanović, Zvonimir and Drmač, Zlatko},
title = {Parallel Solver for Shifted Systems in a Hybrid CPU--GPU Framework},
journal = {SIAM Journal on Scientific Computing},
volume = {40},
number = {4},
pages = {C605-C633},
year = {2018},
doi = {10.1137/17M1144465},
url = {https://doi.org/10.1137/17M1144465}
}

$[DOI]$ Z. Bujanović, L. Karlsson, and D. Kressner, “A Householder-Based Algorithm for Hessenberg-Triangular Reduction,” SIAM Journal on Matrix Analysis and Applications, vol. 39, iss. 3, pp. 1270-1294, 2018.
[Bibtex]

@article{BujKarKre18,
author = {Bujanović, Zvonimir and Karlsson, Lars and Kressner, Daniel},
title = {A Householder-Based Algorithm for Hessenberg-Triangular Reduction},
journal = {SIAM Journal on Matrix Analysis and Applications},
volume = {39},
number = {3},
pages = {1270-1294},
year = {2018},
doi = {10.1137/17M1153637},
url = {https://doi.org/10.1137/17M1153637}
}

$[DOI]$ Z. Drmač and A. K. Saibaba, “The Discrete Empirical Interpolation Method: Canonical Structure and Formulation in Weighted Inner Product Spaces,” SIAM Journal on Matrix Analysis and Applications, vol. 39, iss. 3, p. 1152–1180, 2018.
[Bibtex]

@article{DrmSai18,
author = {Zlatko Drmač and Arvind Krishna Saibaba},
title = {The Discrete Empirical Interpolation Method: Canonical Structure and Formulation in Weighted Inner Product Spaces},
journal = {SIAM Journal on Matrix Analysis and Applications},
volume = {39},
number = {3},
pages = {1152--1180},
year = {2018},
doi = {10.1137/17M1129635},
URL = {https://doi.org/10.1137/17M1129635},
eprint = {https://doi.org/10.1137/17M1129635}
}

$[DOI]$ I. Nakić, M. Täufer, M. Tautenhahn, and I. Veselić, “Scale-free unique continuation principle, eigenvalue lifting and Wegner estimates for random Schrödinger operators,” Anal. PDE, vol. 11, iss. 4, p. 1049–1081, 2018.
[Bibtex]

@article{NakTauTauVes18,
Author = {I. Naki\'c and M. T\"aufer and M. Tautenhahn and I. Veseli\'c},
Journal = {Anal. PDE},
Number = {4},
Pages = {1049--1081},
Title = {Scale-free unique continuation principle, eigenvalue lifting and {W}egner estimates for random {S}chr\"odinger operators},
Volume = {11},
Year = {2018},
doi = {10.2140/apde.2018.11.1049},
url = {https://doi.org/10.2140/apde.2018.11.1049}
}

I. Nakić, M. Täufer, M. Tautenhahn, and I. Veselić, “Unique continuation and lifting of spectral band edges of Schrödinger operators on unbounded domains,” to appear in J. Spectr. Theory, 2018.
[Bibtex]

@article{NakTauTauVes18a,
Author = {I. Naki\'c and M. T\"aufer and M. Tautenhahn and I. Veseli\'c},
journal = {to appear in J. Spectr. Theory},
Title = {Unique continuation and lifting of spectral band edges of {S}chr\"odinger operators on unbounded domains},
Year = {2018}
}

2017

$[DOI]$ P. Benner, Z. Bujanović, P. Kürschner, and J. Saak, “RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations,” Numerische Mathematik, 2017.
[Bibtex]

@Article{BenBujKurSaa17,
author="Benner, Peter and Bujanovi{\'{c}}, Zvonimir and K{\"u}rschner, Patrick and Saak, Jens",
title="RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations",
journal="Numerische Mathematik",
year="2017",
month="Jul",
day="24",
issn="0945-3245",
doi="10.1007/s00211-017-0907-5",
url="https://doi.org/10.1007/s00211-017-0907-5"
}

$[DOI]$ N. Bosner and L. Karlsson, “Parallel and heterogeneous $m$ -Hessenberg–triangular–trianglar reduction,” SIAM J. Sci. Comput., vol. 39, iss. 1, p. C29–C47, 2017.
[Bibtex]

@article{BosKar17,
author = {Bosner, Nela and Karlsson, Lars},
title = {Parallel and heterogeneous -{H}essenberg--triangular--trianglar reduction},
journal = {SIAM J. Sci. Comput.},
volume = {39},
number = {1},
year = {2017},
issn = {1064-8275},
pages = {C29--C47},
numpages = {19},
url = {https://doi.org/10.1137/15M1047349},
doi = {10.1137/15M1047349},
publisher = {SIAM},
address = {Philadelphia, PA, USA},
keywords = {m-Hessenberg--triangular--triangular form, solving shifted linear systems, Givens rotations, heterogeneous CPU/GPU implementation},
}

S. Čanić, D. M. L. Monache, B. Piccoli, J. -M. Qiu, and J. Tambača, “Numerical Methods for Hyperbolic Nets and Networks,” Handbook of Numerical Analysis, vol. 18, p. 435–463, 2017.
[Bibtex]

@article{CanDelPicQuiTam17,
title = "Numerical Methods for Hyperbolic Nets and Networks",
journal = "Handbook of Numerical Analysis",
volume = "18",
number = "",
pages = "435--463",
year = "2017",
note = "Handbook of Numerical Methods for Hyperbolic Problems",
issn = "1570-8659",
url = "http://www.sciencedirect.com/science/article/pii/S157086591630062X",
author = "S. Čanić and M.L. Delle Monache and B. Piccoli and J.-M. Qiu and J. Tambača",
keywords = "Hyperbolic nets",
keywords = "Hyperbolic networks",
keywords = "Numerical methods",
keywords = "35L60",
keywords = "35L65",
keywords = "65M06",
keywords = "65M08"
}

$[DOI]$ S. Čanić, M. Galović, M. Ljulj, and J. Tambača, “A Dimension-Reduction Based Coupled Model of Mesh-Reinforced Shells,” SIAM Journal on Applied Mathematics, vol. 77, iss. 2, pp. 744-769, 2017.
[Bibtex]

@article{CanGalLjuTam17,
author = {Sunčica Čanić and Matea Galović and Matko Ljulj and Josip Tambača},
title = {A Dimension-Reduction Based Coupled Model of Mesh-Reinforced Shells},
journal = {SIAM Journal on Applied Mathematics},
volume = {77},
number = {2},
pages = {744-769},
year = {2017},
doi = {10.1137/16M1088181},
URL = {https://doi.org/10.1137/16M1088181},
eprint = {https://doi.org/10.1137/16M1088181}
}

$[DOI]$ Z. Drmač, “Algorithm 977: A QR–Preconditioned QR SVD Method for Computing the SVD with High Accuracy,” ACM Trans. Math. Softw., vol. 44, iss. 1, p. 11:1–11:30, 2017.
[Bibtex]

@article{Drm17,
author = {Drma\v{c}, Zlatko},
title = {Algorithm 977: A QR--Preconditioned QR SVD Method for Computing the SVD with High Accuracy},
journal = {ACM Trans. Math. Softw.},
volume = {44},
number = {1},
month = {jul},
year = {2017},
issn = {0098-3500},
pages = {11:1--11:30},
articleno = {11},
numpages = {30},
url = {http://doi.acm.org/10.1145/3061709},
doi = {10.1145/3061709},
acmid = {3061709},
publisher = {ACM},
address = {New York, NY, USA},
keywords = {Accuracy, Jacobi method, SVD, condition number, pivoting},
}

S. Giani, L. Grubišić, H. Hakula, and J. Ovall, “An a posteriori estimator of eigenvalue/eigenvector error for penalty-type discontinuous Galerkin methods,” Applied Mathematics and Computation, 2017.
[Bibtex]

@article{GiaGruHakOva2017,
author = {Giani, S. and Grubi\v{s}i\'{c}, L. and Hakula, Harry and Ovall, J.},
title = {An a posteriori estimator of eigenvalue/eigenvector error for penalty-type discontinuous Galerkin methods},
year = {2017},
journal = {Applied Mathematics and Computation},
url = {https://doi.org/10.1016/j.amc.2017.07.007},
vol = {(to appear)},
}

L. Grubišić, J. Iveković, J. Tambača, and B. Žugec, “Mixed formulation of the one-dimensional equilibrium model for elastic stents,” Rad HAZU, p. to appear, 2017.
[Bibtex]

@article{GruIveTamZug17,
author = {Luka Grubi\v{s}i\'{c} and Josip Ivekovi\'{c} and Josip Tamba\v{c}a and Bojan \v{Z}ugec},
title = {Mixed formulation of the one-dimensional equilibrium model for elastic stents},
journal = {Rad HAZU},
pages = {to appear},
URL = {https://arxiv.org/abs/1703.05074},
year = {2017}
}

$[DOI]$ L. Grubišić and J. Tambača, “Quasi-semidefinite eigenvalue problem and applications,” Nanosystems: physics, chemistry, mathematics, vol. 8, iss. 2, p. 180–187, 2017.
[Bibtex]

@article{GruTam17,
author = {L. Grubi\v{s}i\'{c} and J. Tamba\v{c}a},
title = {Quasi-semidefinite eigenvalue problem and applications},
journal = {Nanosystems: physics, chemistry, mathematics},
volume = {8},
year = {2017},
number = {2},
pages = {180--187},
doi = {10.17586/2220-8054-2017-8-2-180-187},
url = {http://nanojournal.ifmo.ru/en/articles-2/volume8/8-2/mathematics/paper04/}
}

$[DOI]$ M. Ljulj and J. Tambača, “Iterative methods for solving a poroelastic shell model of Naghdi’s type,” Mathematical Methods in the Applied Sciences, vol. 40, iss. 12, p. 4425–4435, 2017.
[Bibtex]

@article {LjuTam17,
author = {Ljulj, Matko and Tambača, Josip},
title = {Iterative methods for solving a poroelastic shell model of Naghdi's type},
journal = {Mathematical Methods in the Applied Sciences},
volume = {40},
number = {12},
publisher = {John Wiley & Sons, Ltd},
issn = {1099-1476},
url = {http://dx.doi.org/10.1002/mma.4314},
doi = {10.1002/mma.4314},
pages = {4425--4435},
keywords = {poroelasticity, Biot's system, thin shell model, undrained and fixed stress split, iterative numerical method, existence of solutions},
year = {2017},
note = {mma.4314},
}

I. Nakić, C. Rose, and M. Tautenhahn, “A Quantitative Carleman estimate for second order elliptic operators,” to appear in Proc. Roy. Soc. Edinburgh Sect. A, 2017.
[Bibtex]

@article{NakRosTau17,
Author = {Ivica Naki{\'c} and Christian Rose and Martin Tautenhahn},
Date-Added = {2017-08-31 19:22:56 +0000},
Date-Modified = {2017-08-31 19:24:33 +0000},
Journal = {to appear in Proc. Roy. Soc. Edinburgh Sect. A},
Title = {A Quantitative Carleman estimate for second order elliptic operators},
Year = {2017}
}

2016

$[DOI]$ P. Benner and Z. Bujanović, “On the solution of large-scale algebraic Riccati equations by using low-dimensional invariant subspaces,” Linear Algebra and Its Applications, vol. 488, p. 430–459, 2016.
[Bibtex]

@article{BenB16,
author = {Benner, Peter and Bujanovi\'{c}, Zvonimir},
title = {On the solution of large-scale algebraic {R}iccati equations by using low-dimensional invariant subspaces},
journal = {Linear Algebra and Its Applications},
volume = {488},
number = {},
issn = {0024-3795},
url = {http://dx.doi.org/10.1016/j.laa.2015.09.027},
doi = {10.1016/j.laa.2015.09.027},
pages = {430--459},
keywords = {},
year = {2016}
}

$[PDF]$ $[DOI]$ Z. Bujanović and D. Kressner, “A Block Algorithm for Computing Antitriangular Factorizations of Symmetric Matrices,” Numerical Algorithms, vol. 71, iss. 1, p. 41–57, 2016.
[Bibtex]

@article{BujK15,
author = {Bujanovi\'{c}, Zvonimir and Kressner, Daniel},
title = {A Block Algorithm for Computing Antitriangular Factorizations of Symmetric Matrices},
year = {2016},
volume = {71},
number = {1},
issn = {1017-1398},
journal = {Numerical Algorithms},
doi = {10.1007/s11075-015-9983-8},
url = {http://dx.doi.org/10.1007/s11075-015-9983-8},
publisher = {Springer US},
keywords = {Antitriangular factorization; Matrix inertia; Block algorithm; Symmetric matrix; 15A18; 15A23; 15A57; 65F15; 65Y20},
pages = {41--57},
language = {English}
}

$[DOI]$ Z. Drmač and S. Gugercin, “A New Selection Operator for the Discrete Empirical Interpolation Method–-Improved A Priori Error Bound and Extensions,” SIAM Journal on Scientific Computing, vol. 38, iss. 2, p. A631–A648, 2016.
[Bibtex]

@article{DrmGug16,
author = {Zlatko Drmač and Serkan Gugercin},
title = {A New Selection Operator for the Discrete Empirical Interpolation Method---Improved A Priori Error Bound and Extensions},
journal = {SIAM Journal on Scientific Computing},
volume = {38},
number = {2},
pages = {A631--A648},
year = {2016},
doi = {10.1137/15M1019271},
URL = {https://doi.org/10.1137/15M1019271},
eprint = {https://doi.org/10.1137/15M1019271}
}

C. Engström, S. Giani, and L. Grubišić, “Efficient and reliable hp-FEM estimates for quadratic eigenvalue problems and photonic crystal applications,” Computers & Mathematics with Applications, vol. 72, iss. 4, p. 952–973, 2016.
[Bibtex]

@article{EngGiaGru16,
title = "Efficient and reliable hp-FEM estimates for quadratic eigenvalue problems and photonic crystal applications",
journal = "Computers & Mathematics with Applications",
volume = "72",
number = "4",
pages = "952--973",
year = "2016",
issn = "0898-1221",
url = "http://www.sciencedirect.com/science/article/pii/S0898122116303339",
author = "Christian Engström and Stefano Giani and Luka Grubišić",
keywords = "Nonlinear eigenvalue problems",
keywords = "Numerical methods",
keywords = "Invariant pairs"
}

L. Grubišić, S. Miodragović, and N. Truhar, “Double angle theorems for definite matrix pairs,” Electronic transactions on numerical analysis, vol. 45, p. 33–57, 2016.
[Bibtex]

@article{GruMioTru16,
author = {Grubi\v{s}i\'{c}, Luka and Miodragovi\'{c}, Suzana and Truhar, Ninoslav},
title = {Double angle theorems for definite matrix pairs},
journal = {Electronic transactions on numerical analysis},
volume = {45},
number = {},
issn = {},
url = {http://etna.mcs.kent.edu/volumes/2011-2020/vol45/abstract.php?vol=45&pages=33-57},
doi = {},
pages = {33--57},
keywords = {},
year = {2016},
}

I. Nakić, “On the correspondence between spectra of the operator pencil $A-\Lambda B$ and of the operator $B^{-1}A$ ,” Glasnik matematički, vol. 51, iss. 1, p. 197–221, 2016.
[Bibtex]

@article{Nak16,
author = {Nakić, Ivica},
title = {On the correspondence between spectra of the operator pencil  and of the operator },
journal = {Glasnik matematički},
volume = {51},
number = {1},
issn = {},
url = {https://web.math.pmf.unizg.hr/glasnik/vol_51/no1_12.html},
doi = {},
pages = {197--221},
keywords = {},
year = {2016},
}

$[DOI]$ P. Zunino, J. Tambača, E. Cutrì, S. Čanić, L. Formaggia, and F. Migliavacca, “Integrated Stent Models Based on Dimension Reduction: Review and Future Perspectives,” Annals of Biomedical Engineering, vol. 44, iss. 2, p. 604–617, 2016.
[Bibtex]

@article{ZunTamCutCanForMig16,
author = "Zunino, Paolo and Tamba{\v{c}}a, Josip and Cutr{\`i}, Elena and {\v{C}}ani{\'{c}}, Suncica and Formaggia, Luca and Migliavacca, Francesco",
title = "Integrated Stent Models Based on Dimension Reduction: Review and Future Perspectives",
journal = "Annals of Biomedical Engineering",
year = "2016",
month = "Feb",
day = "01",
volume = "44",
number = "2",
pages = "604--617",
abstract = "Stent modeling represents a challenging task from both the theoretical and numerical viewpoints, due to its multi-physics nature and to the complex geometrical configuration of these devices. In this light, dimensional model reduction enables a comprehensive geometrical and physical description of stenting at affordable computational costs. In this work, we aim at reviewing dimensional model reduction of stent mechanics and drug release. Firstly, we address model reduction techniques for the description of stent mechanics, aiming to illustrate how a three-dimensional stent model can be transformed into a collection of interconnected one-dimensional rods, called a ``stent net''. Secondly, we review available model reduction methods similarly applied to drug release, in which the ``stent net'' concept is adopted for modeling of drug elution. As a result, drug eluting stents are described as a distribution of concentrated drug release sources located on a graph that fully represents the stent geometry. Lastly, new results about the extension of these model reduction approaches to biodegradable stents are also discussed.",
issn = "1573-9686",
doi = "10.1007/s10439-015-1459-4",
url = "https://doi.org/10.1007/s10439-015-1459-4"
}

2015

$[DOI]$ D. Borisov, I. Nakić, C. Rose, M. Tautenhahn, and I. Veselić, “Multiscale unique continuation properties of eigenfunctions,” in Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics, 2015, p. 107–118.
[Bibtex]

@inproceedings{BNRTV15,
author = {Borisov, Denis and Naki\'c, Ivica and Rose, Christian and Tautenhahn, Martin and Veseli\'c, Ivan},
title = {Multiscale unique continuation properties of eigenfunctions},
booktitle ={Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics},
editor = {Arendt, Wolfgang and Chill, Ralph and Tomilov, Yuri},
publisher = {Birkh\"auser, Basel},
volume = {250},
series = {Operator Theory: Advances and Applications},
isbn = {978-3-319-18493-7},
url = {http://www.springer.com/us/book/9783319184937},
doi = {10.1007/978-3-319-18494-4},
pages = {107--118},
keywords = {scale free unique continuation property, equidistribution property, observability estimate, uncertainty relation, Carleman estimate, Schr\"odinger operator, elliptic differential equation},
year = {2015}
}

Z. Drmač, “SVD of Hankel matrices in Vandermonde–Cauchy product form,” Electronic Transactions on Numerical Analysis, vol. 44, p. 593–623, 2015.
[Bibtex]

@article{Drm15,
author = {Z. Drma\v{c}},
title = {{SVD} of {Hankel} matrices in {Vandermonde}--{Cauchy} product form},
journal = {Electronic Transactions on Numerical Analysis},
volume = {44},
pages = {593--623},
year = {2015},
url = {http://etna.mcs.kent.edu/volumes/2011-2020/vol44/abstract.php?vol=44&pages=593-623}
}

$[DOI]$ Z. Drmač, S. Gugercin, and C. Beattie, “Quadrature-Based Vector Fitting for Discretized H_2 Approximation,” SIAM Journal on Scientific Computing, vol. 37, iss. 2, p. A625–A652, 2015.
[Bibtex]

@article{DrmGB15,
author = {Z. Drma\v{c} and S. Gugercin and C. Beattie},
title = {Quadrature-Based Vector Fitting for Discretized H_2 Approximation},
journal = {SIAM Journal on Scientific Computing},
volume = {37},
number = {2},
year = {2015},
pages = {A625--A652},
doi = {10.1137/140961511},
URL = {http://dx.doi.org/10.1137/140961511},
eprint = {http://dx.doi.org/10.1137/140961511}
}

Z. Drmač, S. Gugercin, and C. Beattie, “Vector Fitting for Matrix-valued Rational Approximation,” SIAM Journal on Scientific Computing, p. to appear, 2015.
[Bibtex]

@article{DrmGB15a,
author = {Z. Drma\v{c} and S. Gugercin and C. Beattie},
title = {Vector Fitting for Matrix-valued Rational Approximation},
journal = {SIAM Journal on Scientific Computing},
year = {2015},
pages = {to appear},
url = {http://arxiv.org/abs/1503.00411}
}

$[DOI]$ L. Grubišić and A. Grbić, “Discrete perturbation estimates for eigenpairs of Fredholm operator-valued functions,” Applied Mathematics and Computation, 2015.
[Bibtex]

@article{GruGr2015,
author = {Grubi\v{s}i\'{c}, Luka and Grbi\'{c}, Antonija},
title = {Discrete perturbation estimates for eigenpairs of Fredholm operator-valued functions},
journal = {Applied Mathematics and Computation},
volume = {},
number = {},
issn = {0096-3003},
url = {http://dx.doi.org/10.1016/j.amc.2015.01.010},
doi = {10.1016/j.amc.2015.01.010},
pages = {},
keywords = {},
year = {2015}
}

I. Nakić, M. Täufer, M. Tautenhahn, and I. Veselić, “Scale-free uncertainty principles and Wegner estimates for random breather potentials,” Comptes Rendus Mathematique, vol. 353, iss. 10, p. 919–923, 2015.
[Bibtex]

@article{NakTauTauVes15,
title = "Scale-free uncertainty principles and {W}egner estimates for random breather potentials",
journal = "Comptes Rendus Mathematique",
volume = "353",
number = "10",
pages = "919--923",
year = "2015",
issn = "1631-073X",
url = "http://www.sciencedirect.com/science/article/pii/S1631073X15002186",
author = "Ivica Nakić and Matthias Täufer and Martin Tautenhahn and Ivan Veselić"
}

Submitted manuscripts / In preparation

2018

B. Peherstorfer, Z. Drmač, and S. Gugercin, “Stabilizing discrete empirical interpolation via randomized and deterministic oversampling,” ArXiv e-prints, 2018.
[Bibtex]

@article{DrmGugPer18,
author = {Peherstorfer, B. and Drma{\v c}, Z. and Gugercin, S.},
title = "{Stabilizing discrete empirical interpolation via randomized and deterministic oversampling}",
journal = {ArXiv e-prints},
archivePrefix = "arXiv",
eprint = {1808.10473},
primaryClass = "math.NA",
keywords = {Mathematics - Numerical Analysis},
year = 2018,
month = aug,
adsurl = {http://adsabs.harvard.edu/abs/2018arXiv180810473P},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

M. Egidi, I. Nakić, A. Seelmann, M. Täufer, M. Tautenhahn, and I. Veselić, Null controllability and control cost estimates for the heat equation on unbounded and bounded domains, 2018.
[Bibtex]

@unpublished{ENSTTV18,
Author = {M. Egidi and I. Naki\'c and A. Seelmann and M. T\"aufer and M. Tautenhahn and I. Veseli\'c},
Title = {Null controllability and control cost estimates for the heat equation on unbounded and bounded domains},
note = {submitted to conference proceedings},
year = {2018}
}

A. Jokić and I. Nakić, On Structured Lyapunov Functions and Dissipativity in Interconnected Systems, 2018.
[Bibtex]

@unpublished{JokNak18,
Author = {Andrej Joki\'c and Ivica Naki\'c},
Title = {On Structured Lyapunov Functions and Dissipativity in Interconnected Systems},
note = {submitted to Automatica},
year = {2018}
}

I. Nakić and K. Veselić, Perturbation of eigenvalues of the Klein-Gordon operators, 2018.
[Bibtex]

@unpublished{NakVes18,
Author = {Ivica Naki\'c and Kre\v{s}imir Veseli\'c},
Title = {Perturbation of eigenvalues of the {K}lein-{G}ordon operators},
note = {submitted to Complex Anal. Oper. Theory},
year = {2018}
}

I. Nakić, M. Täufer, M. Tautenhahn, and I. Veselić, Sharp estimates on the control cost for the heat equation on large and unbounded domains, 2018.
[Bibtex]

@unpublished{NakTauTauVes18b,
Author = {I. Naki\'c and M. T\"aufer and M. Tautenhahn and I. Veseli\'c},
Title = {Sharp estimates on the control cost for the heat equation on large and unbounded domains},
note = {preprint},
year = {2018}
}

2017

L. Grubišić and J. Tambača, “Direct solution method for the equilibrium problem for elastic stents,” , 2017.
[Bibtex]

@article{GruTamb17a,
author = {Grubi\v{s}i\'{c}, L. and Tamba\v{c}a, J.},
title = {Direct solution method for the equilibrium problem for elastic stents},
year = {2017},
vol = {(submitted)},
}

L. Grubišić, V. Kostrykin, K. Makarov, S. Schmitz, and K. Veselić, “The $\tan\2\theta$ theorem in fluid dynamics,” , 2017.
[Bibtex]

@article{GruKostMakSchVes17,
author = {Grubi\v{s}i\'{c}, L. and Kostrykin, V. and Makarov, K and Schmitz, S. and Veseli\'{c}, K.},
title = {The  theorem in fluid dynamics},
year = {2017},
vol = {(submitted)},
}

A. Jokić and I. Nakić, An extension of the full block $S$ -procedure, 2017.
[Bibtex]

@unpublished{JokNak17,
Author = {Andrej Joki{\'c} and Ivica Naki{\'c}},
Date-Added = {2017-08-31 19:26:04 +0000},
Date-Modified = {2017-08-31 19:27:27 +0000},
Title = {An extension of the full block -procedure},
Year = {2017}
}

I. Nakić and K. Veselić, “Perturbation of eigenvalues of the Klein Gordon operators,” , 2017.
[Bibtex]

@article{NakVes17,
Author = {Ivica Naki{\'c} and Kre{\v s}imir Veseli{\'c}},
Date-Added = {2017-08-31 19:30:08 +0000},
Date-Modified = {2017-08-31 19:30:43 +0000},
Title = {Perturbation of eigenvalues of the Klein Gordon operators},
Year = {2017}
}

I. Nakić, M. Tautenhahn, and I. Veselić, “Scale-free unique continuation for second order elliptic operators,” , 2017.
[Bibtex]

@article{NakTauVes17,
Author = {Ivica Naki{\'c} and Martin Tautenhahn and Ivan Veseli{\'c}},
Date-Added = {2017-08-31 19:29:15 +0000},
Date-Modified = {2017-08-31 19:30:02 +0000},
Title = {Scale-free unique continuation for second order elliptic operators},
Year = {2017}
}

I. Nakić, M. Täufer, M. Tautenhahn, and I. Veselić, “Uncertainty relation for spectral projectors of Schrödinger operators on unbounded domains,” , 2017.
[Bibtex]

@article{NakTauTauVes17,
Author = {Ivica Naki{\'c} and Matthias T{\"a}ufer and Martin Tautenhahn and Ivan Veseli{\'c}},
Date-Added = {2017-08-31 19:27:37 +0000},
Date-Modified = {2017-08-31 19:29:06 +0000},
Title = {Uncertainty relation for spectral projectors of Schr\"odinger operators on unbounded domains},
Year = {2017}
}

2015

C. Engstrom and L. Grubišić, “A subspace iteration algorithm for Fredholm valued functions,” in review, 2015.
[Bibtex]

@article{EG2015,
author = {Engstrom, Christian and Grubi\v{s}i\'{c}, Luka},
title = {A subspace iteration algorithm for Fredholm valued functions},
journal = {in review},
volume = {},
number = {},
issn = {},
url = {},
doi = {},
pages = {},
keywords = {},
year = {2015},
}

S. Giani, L. Grubišić, and J. Ovall, “Benchmark results for testing adaptive finite element eigenvalue procedures part 2 (conforming eigenvector and eigenvalue estimates),” in review, 2015.
[Bibtex]

@article{GGO2015,
author = {Giani, Stefano and Grubi\v{s}i\'{c}, Luka and Ovall, Jeffrey},
title = {Benchmark results for testing adaptive finite element eigenvalue procedures part 2 (conforming eigenvector and eigenvalue estimates)},
journal = {in review},
volume = {},
number = {},
issn = {},
url = {},
doi = {},
pages = {},
keywords = {},
year = {2015},
}

A. Jokić and I. Nakić, “Distributed Verification of Controllability for Linear Time-Invariant Dynamical Systems,” in preparation, 2015.
[Bibtex]

@article{JN15,
author = {Joki\'c, Andrej and Naki\'c, Ivica},
title = {Distributed Verification of Controllability for Linear Time-Invariant Dynamical Systems},
keywords = {dynamical systems, controllability, distributed control},
year = {2015},
journal = {in preparation},
}

I. Nakić, M. Tautenhahn, M. Täufer, and I. Veselić, “Scale-free unique continuation for Schrödinger operators and applications,” in preparation, 2015.
[Bibtex]

@article{NTTV15-2,
author = {Naki\'c, Ivica and Tautenhahn, Martin and T\"aufer, Matthias and Veseli\'c, Ivan},
title = {Scale-free unique continuation for {S}chr\"odinger operators and applications},
keywords = {scale-free unique continuation property, equidistribution property, observability estimate, Carleman estimate, Schr\"odinger operator, quantitative uncertainty principle, random breather potential, Wegner estimate},
year = {2015},
journal = {in preparation},
}

I. Nakić, Z. Tomljanović, and N. Truhar, “Mixed $H_2$ control of damped vibrational systems,” in preparation, 2015.
[Bibtex]

@article{NTT15,
author = {Naki\'c, Ivica and Tomljanovi\'c, Zoran and Truhar, Ninoslav},
title = {Mixed  control of damped vibrational systems},
keywords = {vibrational systems, damping,  control},
year = {2015},
journal = {in preparation},
}

Related work

2015

$[DOI]$ Z. Bujanović and Z. Drmač, “A New Framework for Implicit Restarting of the Krylov–Schur Algorithm,” Numerical Linear Algebra with Applications, vol. 22, iss. 2, p. 220–232, 2015.
[Bibtex]

@article{BujD14,
author = {Bujanovi\'{c}, Zvonimir and Drma\v{c}, Zlatko},
title = {A New Framework for Implicit Restarting of the {K}rylov–{S}chur Algorithm},
journal = {Numerical Linear Algebra with Applications},
volume = {22},
number = {2},
issn = {1099-1506},
url = {http://dx.doi.org/10.1002/nla.1944},
doi = {10.1002/nla.1944},
pages = {220--232},
keywords = {eigenvalues, eigenvalue assignment, Arnoldi algorithm, Krylov–Schur algorithm, implicit restart, polynomial filter, QR algorithm, Rayleigh quotient, Ritz values},
year = {2015},
}

2014

$[DOI]$ N. Bosner, “Efficient Algorithm for Simultaneous Reduction to the m-Hessenberg-triangular-triangular Form,” BIT Numerical Mathematics, p. 1–27, 2014.
[Bibtex]

@article{Bos14,
author = {Bosner, Nela},
title = {Efficient Algorithm for Simultaneous Reduction to the m-{H}essenberg-triangular-triangular Form},
year = {2014},
issn = {0006-3835},
journal = {{BIT} Numerical Mathematics},
doi = {10.1007/s10543-014-0516-y},
url = {http://dx.doi.org/10.1007/s10543-014-0516-y},
publisher = {Springer Netherlands},
keywords = {m-Hessenberg-triangular-triangular form; Orthogonal transformations; Level 3 BLAS; Blocked algorithm; Solving shifted system; Transfer function evaluation; Staircase form; 15A21; 15A06; 65F05; 65Y20; 93B05; 93B10; 93B17; 93B40},
pages = {1--27},
language = {English}
}

Hello world!

July 20th, 2015

Welcome to the new web-pages of the HRZZ project #9345: Mathematical modelling, analysis and computing with applications to complex mechanical systems.[...]