Veröffentlichungen

Books

Infinite Matrices and their Finite Sections:
An Introduction to the Limit Operator Method
by Marko Lindner

Birkhäuser, Basel - Boston - Berlin, 2006
Series: Frontiers in Mathematics
ISBN: 3-7643-7766-6

Limit Operators, Collective Compactness,
and the Spectral Theory of Infinite Matrices
by Simon N. Chandler-Wilde and Marko Lindner

Volume 210 (Number 989) of the series
Memoirs of the American Mathematical Society
AMS, Providence, Rhode Island, 2011.

Articles in refereed journals

with Albrecht Böttcher and Mark Embree Spectral Approximation of Banded Laurent Matrices with Localized Random Perturbations Integral Equations and Operator Theory 42 (2002), 142-165

with Bernd Silbermann Invertibility at infinity of band-dominated operators in the space of essentially bounded functions Operator Theory: Advances and Applications, 147 (2003) - The Erhard Meister Memorial Volume, 295 - 323

The Finite Section Method in the Space of Essentially Bounded Functions: An Approach using Limit Operators Numerical Functional Analysis and Optimization 24 (2003), no. 7&8, 863-893

with Vladimir S. Rabinovich and Steffen Roch Finite sections of band operators with slowly oscillating coefficients Linear Algebra and Applications, 390 (2004), 19-26

Classes of Multiplication Operators and their Limit Operators Zeitschrift für Analysis und ihre Anwendungen, 23 (2004), no. 1, 187-204

with Simon Chandler-Wilde Wave problems in unbounded domains: Fredholmness and the Finite Section Method Contemp. Math., AMS, 440 (2007), 115-122

with Simon Chandler-Wilde Boundary integral equations on unbounded rough surfaces: Fredholmness and the Finite Section Method Journal of Integral Equations and Applications, 20 (2008), no. 1, 13-48

with Simon Chandler-Wilde Sufficiency of Favard's condition for a class of band-dominated operators on the axis Journal of Functional Analysis, 254 (2008), 1146-1159

with Eric Heinemeyer and Roland Potthast Convergence and numerics of a multi-section method for scattering by three-dimensional rough surfaces SIAM Journal on Numerical Analysis, 46 (2008), 1780-1798

Fredholmness and index of operators in the Wiener algebra are independent of the underlying space Journal of Operators and Matrices, 2 (2008), 297-306

Two stable modifications of the finite section method Journal of Analysis, 16 (2008), 33-52

with Simon Chandler-Wilde, Ivan Grahamand Stephen Langdon Condition Number Estimates for Combined Potential Boundary Integral Operators in Acoustic Scattering Journal of Integral Equations and Applications, 21 (2009), 229-279

A note on the spectrum of bi-infinite bi-diagonal random matrices Journal of Analysis and Applications, 7 (2009), 269-278

The finite section method and stable subsequences Journal of Applied Numerical Mathematics, 60 (2010), 501-512

with Steffen Roch On the integer points in a lattice polytope: n-fold Minkowski sums and boundary Contributions to Algebra and Geometry, 52 (2011), 395-404

with Timo Betcke, Simon Chandler-Wilde, Ivan Graham and Stephen Langdon Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation Numerical Methods for PDEs, 27 (2011), 31-69

with Simon Chandler-Wilde and Ratchanikorn Chonchaiya Eigenvalue problem meets Sierpinski triangle: Computing the spectrum of a non-selfadjoint random operator Operators and Matrices, 5 (2011), 633-648

with Peter Bickel Approximating the inverse of banded matrices by banded matrices with applications to probability and statistics SIAM Journal on Probability Theory and Appl. 56 (2012), 1-20 and Teoriya Veroyatnostei i ee Primeneniya, 56, 100-122

with Steffen Roch Finite sections of random Jacobi operators SIAM Journal on Numerical Analysis, 50 (2012), 287-306

with Gilbert Strang The Main Diagonal of a Permutation Matrix Linear Algebra and Applications, 439 (2013), 524-537

with Simon Chandler-Wilde and Ratchanikorn Chonchaiya On the Spectra and Pseudospectra of a Class of non-self-adjoint Random Matrices and Operators Operators and Matrices, 7 (2013), 739-775

with Markus Seidel An Affirmative Answer to a Core Issue on Limit Operator Journal of Functional Analysis, 267 (2014), 901-917

with Simon Chandler-Wilde Coburn's Lemma and the Finite Section Method for Random Jacobi Operators Journal of Functional Analysis, 270 (2016), 802-841

with Raffael Hagger and Markus Seidel Essential pseudospectra and essential norms of band-dominated operators Journal of Mathematical Analysis and Applications, 437 (2016), 255-291

with Siegfried Beckus, Daniel Lenz and Christian Seifert On the spectrum of operator families on discrete groups over minimal dynamical systems Math. Z. 287, 993-1007 (2017)

with Torge Schmidt Recycling Givens rotations for the efficient approximation of pseudospectra for band-dominated operators Operators and Matrices, 11 (2017), 1171-1196

with Eduard Frick, Jan Preibisch, Christian Seifert and Christian Schuster Variability Analysis of Via Crosstalk using Polynomial Chaos Expansion 2017 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization for RF, Microwave, and Terahertz Applications (NEMO), 317-319, 2017

with Siegfried Beckus, Daniel Lenz and Christian Seifert Note on spectra of non-selfadjoint operators over dynamical systems Proc. Edinb. Math. Soc. 61 (2), 371-386 (2018)

with Hagen Söding Finite Sections of the Fibonacci Hamiltonian Operator Theory: Advances and Applications, 268 (2018), 381-396

with David Dahl, Ömer F. Yildiz, Eduard Frick, Christian Seifert and Christian Schuster Feasibility of Uncertainty Quantification for Power Distribution Network Modeling Using PCE and a Contour Integral Method. 2018 Joint IEEE International Symposium on Electromagnetic Compatibility & Asia-Pacific Symposium on Electromagnetic Compatibility (20 18 Joint IEEE EMC & APEMC), Singapore

Circulant matrices: norm, powers, and positivity Opuscula Math. 38, no. 6 (2018), 849-857

with Christian Seifert Finite sections: A functional analytic perspective on approximation methods GAMM-Mitteilungen 41 (2018), no. 3, e201800013

Submitted (and nearly submitted) articles

with Simon Chandler-Wilde and Ratchanikorn Chonchaiya On Spectral Inclusion Sets and Computing the Spectra and Pseudospectra of Bounded Linear Operators in preparation

with Raffael Hagger and Markus Seidel Asymptotics of condition numbers and pseudospectra in an algebra of finite sections in preparation

with E. Frick, D. Dahl, C. Seifert and C. Schuster Novel Method for Error Estimation in Applications of Polynomial Chaos Expansion to Stochastic Modeling of Multi-Resonant Systems submitted

with D. Dahl, E. Frick, C. Seifert and C. Schuster De-Embedding and Embedding of Circular Ports for Simulation of 2D Photonic Crystals Using a Contour Integral Method submitted

with E. Frick, D. Dahl, C. Seifert, H.-D. Brüns and C. Schuster Applicability of Polynomial Chaos Expansion near Poles of Resonant Electric Systems submitted

Online articles (invited, refereed)

with Albrecht Böttcher Pseudospectrum Scholarpedia, 3(3):2680, 2008

Theses

Algebren von Toeplitzoperatoren auf der Viertelebene mit vom Grade Null homogenem Symbol Studienarbeit, under supervision of Prof. Bernd Silbermann, TU Chemnitz, May 1998

Algebren, die von Toeplitzoperatoren mit homogener Erzeugerfunktion generiert werden Diplomarbeit (Dipl.-Math.), under supervision of Prof. Bernd Silbermann, TU Chemnitz, March 1999

Limit Operators and Applications on the Space of Essentially Bounded Functions Dissertation (Dr. rer. nat.), under supervision of Prof. Bernd Silbermann, TU Chemnitz, (submitted in April, defended in December) 2003

Fredholm Theory and Stable Approximation of Band Operators and Their Generalisations Habilitationsschrift (Dr. rer. nat. habil.), TU Chemnitz, (submitted in March, degree awarded in July) 2009