Publications

1. V. Druskin and J. Zimmerling, A Krylov projection algorithm for large symmetric matrices with dense spectra, arXiv preprint, https://arxiv.org/abs/2504.06998, 2025. 

2. Liliana Borcea, Josselin Garnier Alexander V. Mamonov, and Jörn  Zimmerling, Reduced Order Modeling for First Order Hyperbolic Systems with Applications to Multiparameter Acoustic Waveform Inversion, SIAM Journal on Imaging Sciences, Vol. 18, Num. 2, pp. 851-880, 2025, (link) 

3. L. Borcea, J. Garnier, A. V. Mamonov, and J. Zimmerling, Reduced order modeling for first order hyperbolic systems with application to multiparameter acoustic waveform inversion, SIAM J. Imaging Sci., 18 (2025), pp. 851–880, https://doi.org/10.1137/24M1699784. 

4. Jörn Zimmerling, Vladimir Druskin and Valeria Simoncini, Monotonicity, bounds and averaging of Block-Gauss and Gauss-Radau quadrature for computing BT ⁢ϕ⁢(A) ⁢B, J Sci Comput  103, 5, 2025, (link)

5. Liliana Borcea, Yiyang Liu and Jörn Zimmerling, Electromagnetic inverse wave scattering in anisotropic media via reduced order modeling,  accepted to  Journal of Computational Physics, Volume 515, 113272, 2403.03844, 2024, (link)

6. Jörn Zimmerling, Vladimir Druskin, Murthy Guddati, Elena Cherkaev and Rob Remis, Solving inverse scattering problems via reduced-order model embedding procedures, Inverse Problems, arXiv:2306.08465 (link), (Publisher link)

7. Liliana Borcea, Josselin Garnier, Alexander V. Mamonov, and Jörn  Zimmerling, When data-driven reduced order modeling meets full waveform inversion, SIAM Review, Vol. 66, Iss. 3 10.1137/23M1552826 (2024)  (link) [arXiv:2302.05988 (link)]

8. Liliana Borcea, Josselin Garnier Alexander V. Mamonov, and Jörn  Zimmerling, Waveform inversion with a data driven estimate of the internal wave,  SIAM Journal on Imaging Sciences, 16:1, 280 - 312, (2023), arxiv:2208.11051 (link)

9. Liliana Borcea, Josselin Garnier Alexander V. Mamonov, and Jörn  Zimmerling, Waveform inversion via reduced order modeling, GEOPHYSICS 88: R175-R191, (2023), https://doi.org/10.1137/22M151734, (link)

10. Liliana Borcea, Josselin Garnier Alexander V. Mamonov, and Jörn  Zimmerling, Reduced order model approach for imaging with waves, Inverse Problems 38-2, pp 025004 (2021), (arxiv:2108.01609 link)

11. Liliana Borcea,Vladimir Druskin and Jörn  Zimmerling, A reduced order model approach to inverse scattering in lossy layered media, 2021, Journal of Scientific Computing, 89(1):1, Aug 2021. (Paper: link) and (talk recorded at Oberwolfach starting 54:00)

12. Liliana Borcea, Vladimir Druskin, Alexander V. Mamonov, Mikhail Zaslavsky, and Jörn Zimmerling, Reduced Order Model Approach to Inverse Scattering, SIAM J. Imaging Sci. 13-2, pp. 685-723, 2020 (link) (Poster)

13. Jörn Zimmerling and Rob Remis, Modal analysis of photonic and plasmonic resonators, Opt. Express 28, 20728-20737, 2020 (link) arxiv:1910.12920 (link) 

14. P. Lalanne, W. Yan, A. Gras, C. Sauvan, J.-P. Hugonin, M. Besbes, G. Demésy, M. D. Truong, B. Gralak, F. Zolla, A. Nicolet, F. Binkowski, L. Zschiedrich, S. Burger, J. Zimmerling, R. Remis, P. Urbach, H. T. Liu, and T. Weiss, Quasinormal mode solvers for resonators with dispersive materials, J. Opt. Soc. Am. A36, 686-704, 2019, (link)

15. Vladimir Druskin, Rob F. Remis, Mikhail Zaslavsky, and Jörn Zimmerling, Compressing Large-Scale Wave Propagation Models via Phase-Preconditioned Rational Krylov Subspaces, Multiscale Modeling & Simulation,16:4, 1486-1518, 2018 (link)

16. Jörn Zimmerling, Vladimir Druskin, Mikhail Zaslavsky, and Rob F. Remis, Model-order reduction of electromagnetic fields in open domains, GEOPHYSICS , 83:2, WB61-WB70, 2018 (link)

17. Jörn Zimmerling, Lei Wei, Paul Urbach, Rob Remis, A Lanczos model-order reduction technique to efficiently simulate electromagnetic wave propagation in dispersive media, Journal of Computational Physics, Volume 315, Pages 348-362, 2016 (link)

18. Jörn Zimmerling, Lei Wei, Paul Urbach, Rob Remis, Efficient computation of the spontaneous decay rate of arbitrarily shaped 3D nanosized resonators: A Krylov model-order reduction approach, Applied Physics A, Volume 122, Number 3, page 158,  2016 (link)

1. Wardana Saputra, Carlos Torres-Verdín, Joaquin Ambia, Bruce G. Klappauf, Weichen Zhan, Nazanin Jahani, Jörn Zimmerling, Vladimir Druskin, Sofia Davydycheva, Ivan Davydychev, Egil Romsås Fjeldberg, Recent Developments and Verifications for the Multi-Dimensional and Data-Adaptive Interpretation of Borehole UDAR Measurements, SPWLA 66th Annual Logging Symposium, Conference Paper, 2025

2. Wardana Saputra, Joaquin Ambia, Carlos Torres-Verdín, Sofia Davydycheva, Vladimir Druskin, Jörn Zimmerling, Adaptive Multidimensional Inversion for Borehole Ultra-Deep Azimuthal Resistivity, SPWLA 65th Annual Logging Symposium, Conference Paper, 2024 

3. Sofia Davydycheva, Carlos Torres-Verdín, Junsheng Hou, Wardana Saputra, Michael Rabinovich, Frank Antonsen, Berit Ensted Danielsen, Vladimir Druskin, Jörn Zimmerling, 3D Electromagnetic Modeling and Quality Control of Ultradeep Borehole Azimuthal Resistivity Measurements, SPWLA 64th Annual Logging Symposium, Conference Paper, 2023, (available on research gate: link)

4. L. Borcea, J. Garnier, Alexander V. Mamonov, and J. Zimmerling. Velocity estimation via model order reduction, In SEG/AAPG International Meeting for Applied Geoscience & Energy, D011S040R003, arXiv:2208.01209 (5 pages), 2022 10.1190/image2022-3746066.1 Note: Large overlap with GEOPHYSICS 2023 publication

5. V. L. Druskin, R. F. Remis, M. Zaslavsky and J. T. Zimmerling, Projection-Based model-order reduction of large-scale Maxwell systems, (ICEAA), (Conference Paper), 2017, pp. 385-388,  doi: 10.1109/ICEAA.2017.8065256. 

6. V. Druskin, R. F. Remis, M. Zaslavsky and J. T. Zimmerling, Efficient computation of electromagnetic wave fields on unbounded domains using stability-corrected wave functions and Krylov subspace projection methods, (ICEAA), 2015, pp. 19-22,  doi: 10.1109/ICEAA.2015.7297066, 2015

7. J. T. Zimmerling and R. F. Remis, Krylov model-order reduction expansions for electromagnetic wave fields in strongly resonating structures, (ICEAA), pp. 23-26, doi: 10.1109/ICEAA.2015.7297067, 2015

2025

Block Lanczos Quadrature for Matrix Functions with Dense Spectra, Keynote at Nordic Numerical Linear Algebra, Uppsala University on August 19-20, 2025 

Monotonicity, bounds and averaging of Block-Gauss and Gauss-Radau quadrature for computing B^T ϕ(A) B, Householder Symposium, June 8-13, Ithaca (USA), 2025, (link)

Monotonicity, bounds and extrapolation of Block-Gauss and Gauss-Radau quadrature for computing B^T ϕ(A) B, Seminar, Numerical analysis (SU & KTH), 20 February, 2025

When data data-driven reduced order modeling meets full waveform inversion, Bit conference, Uppsala (Sweden), January 14-16, 2025

Poster presentation: Reduced order modeling approach to imaging with waves, Computational Learning for Model Reduction Workshop at ICERM (USA), Jan 6 - 10, 2025

2024

Imaging with reduced order model estimates of internal waves, Inverse Days, Oulu (Finnland), December 10-13, 2024

Block Gauss-Radau quadrature,Numerical Linear Algebra (NLACIRM24) CIRM Luminy (France), September 16 - 20, 2024

Reduced-order modeling approach to inverse scattering ,Inverse Problems: Modeling and Simulation (IPMS), Malta May 26-June 01

2023 

When data-driven reduced order modeling meets full waveform inversion, Inverse Days invited Plenary, Lathi Finnland, 15th 2023

When data-driven reduced order modeling meets full waveform inversion, SIAM Geosciences, December 6th 2023 (Youtube link)

Inverse scattering in attenuating media – a ROM approach, ICIAM, invited Minisymposium, Tokyo Japan, August 25th 2023

Inverse Scattering Problems via Estimates of Internal Waves, SIAM CSE-23, Amsterdam March 1st 2023

Quasi-normal mode expansions of resonant scattering responses, Resonant Optics – Fundamentals and Applications, META 2023, Paris, 18th July (Presentation - animations work if opened in Adobe pdf reader)

2022

Reduced order models for inverse scattering problems, 4th Workshop on Scientific Computing in Sweden, Göteborg, October 27th 

Reduced order models for inverse scattering problems, Uppsala University,  TDB Seminar, October 18th

Reduced order models for inverse scattering problems, KTH Seminarium, Numerisk analys, September 29

Imaging and inverse scattering using ROM estimates of internal waves Copper Country Workshop on Applied Mathematics, Houghton July 6th

Inverse scattering using ROM estimates of internal waves, Midwest Numerical Analysis Day, University of Michigan, May 21st

Imaging and inverse scattering using ROM estimates of internal waves, Applied Math Seminar at George Washington University, February 4th

2021

Imaging and inverse scattering using ROM estimates of internal waves, 4th Annual Meeting of the SIAM Texas-Louisiana Section, South Padre Island, TX USA, November 5-7

A reduced order model approach to inverse scattering in lossy layered media, In Department of Computational Mathematics, Science and Engineering (CMSE), Michigan State University, Brown bag Seminar, (East Lansing, MI, USA), March 5 2021.

2020

A Reduced Order Model Approach to Inverse Scattering in Lossy Layered Media, Oberwolfach workshop 2050, Dec 7, (talk recorded at Oberwolfach starting 54:00)

Reduced Order Model Approach to Inverse Scattering, SIAM Imaging Science 2020, Toronto, MS22, 9th July (slides)

Reduced Order Model Approach to Inverse Scattering, Computational Statistics and Data-Driven Models, ICERM Workshop, Apr 20 - 24, 2020, (video)

Reduced Order Model Approach to Inverse Scattering, Computational Statistics and Data-Driven Models, ICERM Workshop (Poster)

2019

J. Zimmerling and R. Remis, Computation of Field Approximations in Dispersive Media Using Quasinormal Mode Expansions, Photonics and Electromagnetics Research Symposium (PIERS2019), book of abstracts, 2019

J. Zimmerling, V. Druskin, M. Zaslavsky, and Rob Remis, Rational Krylov Subspaces and Phase-Preconditioning for Model Reduction of Wave Equations, SIAM-CSE19: SIAM Conference on Computational Science and Engineering, Book of abstracts, p. 437 – 438, 25 Feb. – 1 March, Spokane, Washington, USA, 2019

2018

J. Zimmerling, V. Druskin, M. Zaslavsky, and R.Remis, Rational Krylov Subspaces for Wavefield Applications, SIAM-ALA18: SIAM Conference on Applied Linear Algebra, Book of abstracts, p. 103, May 4 – 8, Hong Kong, China, 2018

J. Zimmerling, P. Urbach, and R. Remis, A Lanczos Modal Solver for Dispersive Nanoresonators, EOSAM18: European Optical Society Biennial Meeting, Conference Proceedings, pp. 238 – 239, 8 – 12, October, Delft, The Netherlands, 2018

2017

 Jörn Zimmerling, Vladimir Druskin, Mikehail Zaslavsky, and Rob Remis, Model Order Reduction of Electromagnetic Wavefields in Open Domains, The 6th International Symposium in Three-Dimensional Electromagnetics, Berkeley, California, USA, four pages, conference proceedings, March 28 – 30, 2017

Jörn Zimmerling, Model Reduction of large-scale wave propagation via phase-preconditioned rational Krylov subspaces, 07-11-2017, Workshop Recent Advances in Seismic Modeling and Inversion: From Analysis to Applications, Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, USA (Video)

Rob Remis, Krylov Model Order Reduction Techniques for Time- and Frequency-Domain Wavefield Problems, 06-11-2017, Workshop Recent Advances in Seismic Modeling and Inversion: From Analysis to Applications, Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, USA (Video)

Vladimir Druskin, Rob Remis, Mikhail Zaslavsky, and Jörn Zimmerling, Projection-Based Model-Order Reduction of Large-Scale Maxwell Systems, International Conference on Electromagnetics in Advanced Applications ICEAA17, IEEE Xplore, pp. 385 – 388, 2017

Vladimir Druskin, Rob Remis, Mikhail Zaslavsky, and Jörn Zimmerling, Phase-Preconditioned Rational Krylov Subspaces for Wave Simulation in Open Domains, Householder Symposium on Numerical Linear Algebra, Virginia Tech, June 18 – 23, 2017

Vladimir Druskin, Rob Remis, Mikhail Zaslavsky, and Jörn Zimmerling, Stability-Corrected Wave Functions and Structure Preserving Rational Krylov Methods for Large-Scale Wavefield Simulations on Open Domains, Householder Symposium on Numerical Linear Algebra, Virginia Tech, June 18 – 23, 2017

2016

Jörn Zimmerling, Vladimir Druskin, Rob Remis, and Mikehail Zaslavsky, Phase-preconditioned Rational Krylov Subspaces for Model Reduction of Large-Scale Wave Propagation, Numerical Linear Algebra with Applications (NL2A), CIRM Luminy, France, book of abstracts, p. 49, October 24 – 28, 2016

Rob Remis, Jörn Zimmerling, Lei Wei, and Paul Urbach, Efficient Mode Computations in Open, Dispersive, Optical Resonators, Bi-Annual Meeting of the European Optical Society EOSAM 2016, conference proceedings, Berlin, 2016

Vladimir Druskin, Rob Remis, Mikhail Zaslavsky, and Jörn Zimmerling, Eikonal Field Parametrizations for Model Order Reduction of Wavefields in Travel-Time Dominated Structures, Annual Meeting of the Society for Industrial and Applied Mathematics SIAM AN16, book of abstracts, Boston, MA, 2016

Vladimir Druskin, Rob Remis, Mikhail Zaslavsky, and Jörn Zimmerling, Asymptotically Corrected Reduced Order Modeling for Seismic Imaging, 78th Annual Conference and Exhibition of the European Association of Geoscientists and Engineers, Workshop on Methods and Challenges of Seismic Wave Modelling for Seismic Imaging, Book of Abstracts, Vienna, Austria, 2016

2015

Vladimir Druskin, Rob Remis, Mikhail Zaslavsky, and Jörn Zimmerling, Krylov Model-Order Reduction of Transient Seismic Wave Propagation in Unbounded Domains, SIAM Conference on Mathematical and Computational Issues in the Geosciences SIAM GS15, Stanford University, CA, USA, 2015

Jörn Zimmerling, Lei Wei, Paul Urbach, and Rob Remis, Efficient Computation of the Spontaneous Decay Rate of Arbitrarily Shaped 3D Nanosized Resonators – A Krylov Model-Order Reduction Approach, The 6th International Conference on Metamaterials, Photonic Crystals, and Plasmonics META15, conference proceedings, City College of New York, New York, NY, USA, 2015

Rob Remis, Vladimir Druskin, Alexander Mamonov, Mikhail Zaslavsky, and Jörn Zimmerling, Reduced Order Models for Large Scale Wave Propagation, The 12th International Conference on Mathematical and Numerical Aspects of Wave Propagation, conference proceedings, Karlsruhe Institute of Technology, Karlsruhe, Germany, 2015.

Vladimir Druskin, Rob Remis, Mikhail Zaslavsky, and Jörn Zimmerling, Efficient Computation of Electromagnetic Wavefields on Unbounded Domains Using Stability-Corrected Wave Functions and Krylov Subspace Projection Methods, International Conference on Electromagnetics in Advanced Applications ICEAA15, conference proceedings (also available on IEEE Xplore), Torino, Italy, 2015.

Jörn Zimmerling and Rob Remis, Krylov Model-Order Reduction Expansions for Electromagnetic Wavefields in Strongly Resonating Structures, International Conference on Electromagnetics in Advanced Applications ICEAA15, conference proceedings (also available on IEEE Xplore), Torino, Italy, 2015

Vladimir Druskin, Rob Remis, Mikhail Zaslavsky, and Jörn Zimmerling, Perfectly Matched Layers and Rational Krylov Subspaces with Adaptive Shifts for Maxwell Systems, SIAM Conference on Applied Linear Algebra SIAM ALA15, book of abstracts, Atlanta, Georgia, USA, 2015

1. J.T. Zimmerling, Model Reduction of Wave Equations: Theory and applications in Forward modeling and Imaging, Doctoral thesis, TU Delft, ISBN 978-94-6186-927-2, TU Delft Repository: uuid:9fa0bdd9-29b4-489c-9799-b86e07e92813, 2018 (link)

2. J.T. Zimmerling, Modeling of wave propagation in open domains: A Krylov subspace approach, Master thesis, TU Delft, TU Delft Repository: uuid:aea44c4e-2658-474d-b9ea-c046066ac881, 2014 (link)