Publications
Selection: Year:
2024 | ||
|---|---|---|
| Issue Date | Publication | Type |
| 09/15/2024 | Finite sections: stability, spectral pollution and asymptotics of condition numbers and pseudospectra Marko Lindner, Dennis Schmeckpeper Source: Linear Algebra and Its Applications 697: 583-614 (2024) Journal: Linear algebra and its applications Project:
 | Journal Article |
| 06/13/2024 | On spectral inclusion sets and computing the spectra and pseudospectra of bounded linear operators Simon N. Chandler-Wilde, Ratchanikorn Chonchaiya, Marko Lindner Source: Journal of Spectral Theory 14 (2): 719-804 (2024) Journal: Journal of Spectral Theory | Journal Article |
| 01/01/2024 | Spectral approximation of generalized Schrödinger Operators via approximation of subwords Fabian Nuraddin Alexander Gabel, Dennis Gallaun, Julian Peter Großmann, Marko Lindner, Riko Ukena Source: Complex Analysis and Operator Theory 18 (1): 7 (2024-01) Journal: Complex Analysis and Operator Theory Project:
| Journal Article |
2023 | ||
| Issue Date | Publication | Type |
| 12/01/2023 | Convergent spectral inclusion sets for banded matrices Simon N. Chandler-Wilde, Ratchanikorn Chonchaiya, Marko Lindner Source: Proceedings in applied mathematics and mechanics 23 (4): e202300016 (2023-12) Journal: Proceedings in applied mathematics and mechanics Project:
| Journal Article |
| 06/15/2023 | Half-line compressions and finite sections of discrete Schrödinger operators with integer-valued potentials Marko Lindner, Riko Ukena Source: Journal of Mathematical Analysis and Applications 522 (2): 126984 (2023-06-15) Journal: Journal of mathematical analysis and applications | Journal Article |
| 01/17/2023 | Example Potentials for Spectral Approximation of Generalized Schrödinger Operators via Approximation of Subwords Riko Ukena, Fabian Nuraddin Alexander Gabel, Dennis Gallaun, Julian Peter Großmann, Marko Lindner | Dataset |
| 01/01/2023 | A note on Hausdorff convergence of pseudospectra Marko Lindner, Dennis Schmeckpeper Source: Opuscula mathematica 43 (1): 101–108 (2023) Journal: Opuscula mathematica | Journal Article |
| 01/01/2023 | Finite Sections of Periodic Schrödinger Operators Fabian Gabel, Dennis Gallaun, Julian Großmann, Marko Lindner, Riko Ukena Source: In: Choi, Y., Daws, M., Blower, G. (eds) Operators, Semigroups, Algebras and Function Theory. IWOTA 2021. Operator Theory: Advances and Applications, vol 292. Birkhäuser, Cham. (2023) | Book Part |
2022 | ||
| Issue Date | Publication | Type |
| 09/23/2022 | Spectral approximation of generalized Schrödinger operators via approximation of subwords Fabian Nuraddin Alexander Gabel, Dennis Gallaun, Julian Peter Großmann, Marko Lindner, Riko Ukena Source: arXiv: 2209.11613 (2022) | Preprint |
| 06/01/2022 | Minimal Families of Limit Operators Marko Lindner Source: Operators and Matrices 16 (2): 529-543 (2022-06) Journal: Operators and matrices | Journal Article |
2021 | ||
| Issue Date | Publication | Type |
| 10/18/2021 | Analysis Code for Finite Sections of Periodic Schrödinger Operators Fabian Nuraddin Alexander Gabel, Dennis Gallaun, Julian Peter Großmann, Marko Lindner, Riko Ukena | Software |
| 10/18/2021 | Finite sections of periodic Schrödinger operators Fabian Nuraddin Alexander Gabel, Dennis Gallaun, Julian Peter Großmann, Marko Lindner, Riko Ukena Source: arXiv: 2110.09339 (2021) | Preprint |
| 04/01/2021 | Finite section method for aperiodic Schrödinger operators Fabian Nuraddin Alexander Gabel, Dennis Gallaun, Julian Peter Großmann, Marko Lindner, Riko Ukena Source: arXiv: 2104.00711 (2021) | Preprint |
2019 | ||
| Issue Date | Publication | Type |
| 02/01/2019 | Quantitative Error Bounds of Polynomial Chaos Expansion and their Application to Resonant Systems Eduard Frick, David Dahl, Katharina Klioba, Christian Seifert, Marko Lindner, Christian Schuster | |
| 01/02/2019 | An Intrusive PCE Extension of the Contour Integral Method and its Application in Electrical Engineering Eduard Frick, David Dahl, Christian Seifert, Marko Lindner, Christian Schuster Source: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2019) Conference: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2019) | Conference Paper |
| 01/01/2019 | Efficient Simulation of Substrate-Integrated Waveguide Antennas Using a Hybrid Boundary Element Method David Dahl, Heinz-Dietrich Brüns, Lei Wang, Eduard Frick, Christian Seifert, Marko Lindner, Christian Schuster Source: IEEE Journal on Multiscale and Multiphysics Computational Techniques (4): 8781922 (2019) Journal: IEEE journal on multiscale and multiphysics computational techniques | Journal Article |
| 01/01/2019 | Multiscale Simulation of 2-D Photonic Crystal Structures Using a Contour Integral Method David Dahl, Eduard Frick, Christian Seifert, Marko Lindner, Christian Schuster Source: IEEE Journal on Multiscale and Multiphysics Computational Techniques (4): 88-97 (2019) Journal: IEEE journal on multiscale and multiphysics computational techniques | Journal Article |
2018 | ||
| Issue Date | Publication | Type |
| 10/01/2018 | Novel Method for Error Estimation in Applications of Polynomial Chaos Expansion to Stochastic Modeling of Multi-Resonant Systems Eduard Frick, David Dahl, Christian Seifert, Marko Lindner, Christian Schuster Source: IEEE Conference on Electrical Performance of Electronic Packaging and Systems (EPEPS 2018): 18265471 (2018-10) Conference: 27th IEEE Conference on Electrical Performance of Electronic Packaging and Systems, EPEPS 2018 | Conference Paper |
| 09/01/2018 | Finite sections: A functional analytic perspective on approximation methods Marko Lindner, Christian Seifert Source: GAMM Mitteilungen 3 (41): e201800013- (2018-09) Journal: GAMM-Mitteilungen | Journal Article |
| 06/22/2018 | Feasibility of uncertainty quantification for power distribution network modeling using PCE and a contour integral method David Dahl, Ömer Faruk Yildiz, Eduard Frick, Christian Seifert, Marko Lindner, Christian Schuster Source: 2018 IEEE International Symposium on Electromagnetic Compatibility and 2018 IEEE Asia-Pacific Symposium on Electromagnetic Compatibility (EMC/APEMC 2018) Conference: 2018 IEEE International Symposium on Electromagnetic Compatibility and 2018 IEEE Asia-Pacific Symposium on Electromagnetic Compatibility, EMC/APEMC 2018 | Conference Paper |
| 05/01/2018 | Note on Spectra of Non-Selfadjoint Operators over Dynamical Systems Siegfried Beckus, Daniel Lenz, Marko Lindner, Christian Seifert Source: Proceedings of the Edinburgh Mathematical Society 2 (61): 371-386 (2018-05-01) Journal: Proceedings of the Edinburgh Mathematical Society | Journal Article |
| 01/01/2018 | Circulant matrices: Norm, powers, and positivity Marko Lindner Source: Opuscula Mathematica 6 (38): 849-857 (2018) Journal: Opuscula mathematica | Journal Article |
| 01/01/2018 | Finite sections of the Fibonacci Hamiltonian Marko Lindner, Hagen Söding Source: in: The Diversity and Beauty of Applied Operator Theory. Operator Theory: Advances and Applications (268) : 381-396 (2018) Part of Series: Operator theory | Book Part |
2017 | ||
| Issue Date | Publication | Type |
| 12/01/2017 | On the spectrum of operator families on discrete groups over minimal dynamical systems Siegfried Beckus, Daniel Lenz, Marko Lindner, Christian Seifert Source: Mathematische Zeitschrift 3-4 (287): 993-1007 (2017-12-01) Journal: Mathematische Zeitschrift | Journal Article |
| 07/03/2017 | Variability analysis of via crosstalk using polynomial chaos expansion Eduard Frick, Jan Preibisch, Christian Seifert, Marko Lindner, Christian Schuster Source: 2017 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization for RF, Microwave, and Terahertz Applications, NEMO 2017: 7964272, 317-319 (2017) Conference: 2017 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization for RF, Microwave, and Terahertz Applications (NEMO) | Conference Paper |
2016 | ||
| Issue Date | Publication | Type |
| 06/08/2016 | Approximation of pseudospectra on a Hilbert space Torge Schmidt, Marko Lindner Source: AIP Conference (1738): 480050 (2016-06-08) Conference: AIP conference 2016 | Conference Paper |
| 06/01/2016 | Recycling Givens rotations for the efficient approximation of pseudospectra of band-dominated operators Marko Lindner, Torge Schmidt | |
| 05/01/2016 | Essential pseudospectra and essential norms of band-dominated operators Raffael Hagger, Marko Lindner, Markus Seidel Source: Journal of Mathematical Analysis and Applications 1 (437): 255-291 (2016-05-01) Journal: Journal of mathematical analysis and applications | Journal Article |
| 01/15/2016 | Coburn's lemma and the finite section method for random Jacobi operators Simon N. Chandler-Wilde, Marko Lindner Source: Journal of Functional Analysis 2 (270): 802-841 (2016-01-15) Journal: Journal of functional analysis | Journal Article |
2014 | ||
| Issue Date | Publication | Type |
| 04/03/2014 | An affirmative answer to a core issue on limit operators Marko Lindner, Markus Seidel Source: J. Funct. Anal., 267(3): 901-917 267 (2014) Journal: Journal of functional analysis | Journal Article |
2012 | ||
| Issue Date | Publication | Type |
| 05/28/2012 | Approximating the inverse of banded matrices by banded matrices with applications to probability and statistics Peter J. Bickel, Marko Lindner Source: Theory of Probability and its Applications 56 (1): 1-20 (2012-05-28) Journal: Theory of probability and its applications | Journal Article |
| 05/28/2012 | Finite sections of random Jacobi operators Marko Lindner, Steffen Roch Source: SIAM Journal on Numerical Analysis 50 (1): 287-306 (2012-05-28) Journal: SIAM journal on numerical analysis | Journal Article |
| 05/03/2012 | The main diagonal of a permutation matrix Marko Lindner, Gilbert Strang Source: Linear Algebra and Its Applications 3 (439): 524-537 (2013) Journal: Linear algebra and its applications | Journal Article |
| 05/01/2012 | On the Spectra and Pseudospectra of a Class of Non-Self-Adjoint Random Matrices and Operators Simon N. Chandler-Wilde, Ratchanikorn Chonchaiya, Marko Lindner Source: Operators & Matrices | |
2011 | ||
| Issue Date | Publication | Type |
| 03/01/2011 |  Simon N. Chandler-Wilde, Marko Lindner Source: Memoirs of the American Mathematical Society 210 (989): 1-119 (2011-03-01) Part of Series: Memoirs of the American Mathematical Society | Book |
| 01/01/2011 | Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation Timo Betcke, Simon N. Chandler-Wilde, Ivan G. Graham, Stephen Langdon, Marko Lindner Source: Numerical Methods for Partial Differential Equations 27 (1): 31-69 (2011-01-01) Journal: Numerical methods for partial differential equations | Journal Article |
2010 | ||
| Issue Date | Publication | Type |
| 06/10/2010 | On the integer points in a lattice polytope: n-fold Minkowski sum and boundary Marko Lindner, Steffen Roch Source: arXiv: 1006.2053 (2021) | Preprint |
| 04/01/2010 | The finite section method and stable subsequences Marko Lindner Source: Applied Numerical Mathematics 60 (4): 501-512 (2010-04-01) Journal: Applied numerical mathematics | Journal Article |
| 03/20/2010 | Eigenvalue problem meets Sierpinski triangle: computing the spectrum of a non-self-adjoint random operator Simon N. Chandler-Wilde, Ratchanikorn Chonchaiya, Marko Lindner Source: Operators and Matrices Volume 5, Number 4 (2011), 633-648 5 (4): 633-648 (2010-03-20T18:21:34Z) Journal: Operators and matrices | Journal Article |
| 02/24/2010 | Two stable modifications of the finite section method Marko Lindner Source: The Journal of Analysis, 16: 33-52 (2010-02-24) Journal: The journal of analysis | Journal Article |
2009 | ||
| Issue Date | Publication | Type |
| 12/01/2009 | Condition number estimates for combined potential boundary integral operators in acoustic scattering Simon N. Chandler-Wilde, Ivan G. Graham, Stephen Langdon, Marko Lindner Source: Journal of Integral Equations and Applications 21 (2): 229-279 (2009-12-01) Journal: Journal of integral equations and applications | Journal Article |
2008 | ||
| Issue Date | Publication | Type |
| 12/01/2008 | Boundary integral equations on unbounded rough surfaces: Fredholmness and the finite section method Simon N. Chandler-Wilde, Marko Lindner Source: Journal of Integral Equations and Applications 20 (1): 13-48 (2008-12-01) Journal: Journal of integral equations and applications | Journal Article |
| 11/10/2008 | Convergence and numerics of a multisection method for scattering by three-dimensional rough surfaces Eric Heinemeyer, Marko Lindner, Roland Potthast Source: SIAM Journal on Numerical Analysis 46 (4): 1780-1798 (2008-11-10) Journal: SIAM journal on numerical analysis | Journal Article |
| 10/23/2008 | A note on the spectrum of bi-infinite bi-diagonal random matrices Marko Lindner Source: Analysis and Applications 07 (03): 269-278 (2011) Journal: Analysis and applications | Journal Article |
| 02/15/2008 | Sufficiency of Favard's condition for a class of band-dominated operators on the axis Simon N. Chandler-Wilde, Marko Lindner Source: Journal of Functional Analysis 254 (4): 1146-1159 (2008-02-15) Journal: Journal of functional analysis | Journal Article |
| 01/01/2008 | Fredholmness and index of operators in the Wiener algebra are independent of the underlying space Marko Lindner Source: Operators and Matrices (2): 297-306 (2008) Journal: Operators and matrices | Journal Article |
| 01/01/2008 | Pseudospectrum Marko Lindner, Albrecht Böttcher Source: Scholarpedia 3 (3): 2680- (2008) Journal: Scholarpedia journal | Journal Article |
2007 | ||
| Issue Date | Publication | Type |
| 01/01/2007 | Wave problems in unbounded domains: Fredholmness and the finite section method Simon N. Chandler-Wilde, Marko Lindner Source: Fluids and Waves, Recent Trends in Applied Analysis, May 11-13, 2006, Memphis, TN Part of Series: Fluids and Waves Conference: Fluids and Waves, Recent Trends in Applied Analysis | Conference Paper |
2006 | ||
| Issue Date | Publication | Type |
| 06/07/2006 |  Marko Lindner Part of Series: Frontiers in Mathematics Journal: Frontiers in Mathematics | Book |
2004 | ||
| Issue Date | Publication | Type |
| 10/01/2004 | Finite sections of band operators with slowly oscillating coefficients Marko Lindner, Vladimir S. Rabinovich, Steffen Roch Source: Linear Algebra and Its Applications 390 (1-3): 19-26 (2004-10-01) Journal: Linear algebra and its applications | Journal Article |
| 03/31/2004 | Classes of multiplication operators and their limit operators Marko Lindner Source: Zeitschrift fur Analysis und ihre Anwendung 23 (1): 187-204 (2004-01-01) Journal: Zeitschrift für Analysis und ihre Anwendungen | Journal Article |
| 01/01/2004 | Invertibility at Infinity of Band-Dominated Operators on the Space of Essentially Bounded Functions Marko Lindner, Bernd Silbermann Source: In: Operator Theoretical Methods and Applications to Mathematical Physics [297-325] | Journal Article |
2003 | ||
| Issue Date | Publication | Type |
| 02/07/2003 | The finite section method in the space of essentially bounded functions: An approach using limit operators Marko Lindner Source: Numerical Functional Analysis and Optimization 24 (7-8): 863-893 (2003-01-01) Journal: Numerical functional analysis and optimization | Journal Article |
2002 | ||
| Issue Date | Publication | Type |
| 12/03/2002 | Spectral approximation of banded laurent matrices with localized random perturbations A. Böttcher, M. Embree, Marko Lindner Source: Integral Equations and Operator Theory 42 (2): 142-165 (2002-12-03) Journal: Integral equations and operator theory | Journal Article |
