Stefan Güttel

My main research interests are in computational mathematics, in particular, in numerical algorithms for high-dimensional problems arising with partial differential equations as well as in data-driven applications.

Brief academic CV

• 2021 SIAM James H. Wilkinson Prize in Numerical Analysis & Scientific Computing
• 2018 University Teaching Excellence Award
• 2018–now Fellow of the Turing Institute (UK's natl. inst. for data science and AI)
• 2018–now Reader in Numerical Analysis
• 2012–2018 (Senior) Lecturer at The University of Manchester
• 2011–2012 Postdoc at University of Oxford (DFG stipend)
• 2010–2011 Postdoc at University of Geneva
• 2008 JSPS Fellow at National Institute of Informatics in Japan
• 2006–2010 PhD (Dr. rer. nat., summa cum laude) at TU Freiberg
• 2001–2006 Applied Maths (Dipl.-Math.) at TU Bergakademie Freiberg

Current roles

• Director of PhD Studies in Applied Maths and Numerical Analysis
• Associate Editor for SIAM Journal on Scientific Computing
• Associate Editor for Electronic Transactions on Numerical Analysis
• Member of the SIAM Membership Committee and its EDI subcommittee
• Vice Chair of the GAMM Activity Group on Applied and Numerical Linear Algebra

Current projects

• 01/2020–06/2022 Next generation software for structural engineering simulation, Innovate UK, £352,190
• 10/2017–01/2022 Data-driven modelling of processes in the refining industry, Innovate UK, £320,581

I enjoy working with industry partners. Companies I have engaged with through Knowledge Transfer Partnerships, PhD/MSc projects, or one-to-one consultancy include Arup, AspenTech, Autotrader, Intel, N Brown Group, Process Integration Ltd, and Schlumberger-Doll Research. (And here's my maths ancestry.)

Articles in peer-reviewed journals

1. S. Güttel and J. W. Pearson. A spectral-in-time Newton--Krylov method for nonlinear PDE-constrained optimization. IMA Journal of Numerical Analysis (online first), 2021. BibTeX
2. S. Güttel and M. Schweitzer. A comparison of limited-memory Krylov methods for Stieltjes functions of Hermitian matrices. SIAM Journal on Matrix Analysis and Applications, 42 (1): 83-107, 2021. BibTeX
3. I. V. Gosea and S. Güttel. Algorithms for the rational approximation of matrix-valued functions. To appear in SIAM Journal on Scientific Computing, 2021. BibTeX
4. S. Güttel, D. Kressner and K. Lund. Limited-memory polynomial methods for large-scale matrix functions. GAMM-Mitteilungen, 43 (4): e202000019, 2020. BibTeX
5. S. Elsworth and S. Güttel. ABBA: adaptive Brownian bridge-based symbolic aggregation of time series. Data Mining and Knowledge Discovery, 34: 1175-1200, 2020. BibTeX
6. S. Elsworth and S. Güttel. The block rational Arnoldi method. SIAM Journal on Matrix Analysis and Applications, 41 (2): 365-388, 2020. BibTeX
7. C. Qiu, S. Güttel, X. Ren, C. Yin, Y. Liu, Bo Zhang and G. Egbert. A block rational Krylov method for three-dimensional time-domain marine controlled-source electromagnetic modeling. Geophysical Journal International, 218: 100-114, 2019. BibTeX
8. S. Elsworth and S. Güttel. Conversions between barycentric, RKFUN, and Newton representations of rational interpolants. Linear Algebra and its Applications, 576: 246-257, 2019. BibTeX
9. S. Güttel and J. W. Pearson. A rational deferred correction approach to parabolic optimal control problems. IMA Journal of Numerical Analysis, 38 (4): 1861-1892, 2018. BibTeX
10. T. Kinyanjui, Jo Middleton, S. Güttel, J. Cassell and J. Ross. Scabies in residential care homes: Modelling, inference and interventions for well-connected population sub-units. PLOS Computational Biology, 14 (3): 1-24, 2018. BibTeX
11. M. Berljafa and S. Güttel. The RKFIT algorithm for nonlinear rational approximation. SIAM Journal on Scientific Computing, 39 (5): A2049-A2071, 2017. BibTeX
12. M. Berljafa and S. Güttel. Parallelization of the rational Arnoldi algorithm. SIAM Journal on Scientific Computing, 39 (5): S197-S221, 2017. BibTeX
13. S. Güttel and F. Tisseur. The nonlinear eigenvalue problem. Acta Numerica, 26: 1-94, 2017. BibTeX
14. V. Druskin, S. Güttel and L. Knizhnerman. Near-optimal perfectly matched layers for indefinite Helmholtz problems. SIAM Review, 58 (1): 90-116, 2016. BibTeX
15. S. Güttel and Y. Nakatsukasa. Scaled and squared subdiagonal Padé approximation for the matrix exponential. SIAM Journal on Matrix Analysis and Applications, 37 (1): 145-170, 2016. BibTeX
16. M. Berljafa and S. Güttel. Generalized rational Krylov decompositions with an application to rational approximation. SIAM Journal on Matrix Analysis and Applications, 36 (2): 894-916, 2015. BibTeX
17. S. Güttel, E. Polizzi, P. Tang and G. Viaud. Zolotarev quadrature rules and load balancing for the FEAST eigensolver. SIAM Journal on Scientific Computing, 37 (4): A2100-A2122, 2015. BibTeX
18. R-U. Börner, S. Güttel and O. G. Ernst. Three-dimensional transient electromagnetic modeling using rational Krylov methods. Geophysical Journal International, 202 (3): 2025-2043, 2015. BibTeX
19. A. Frommer, S. Güttel and M. Schweitzer. Convergence of restarted Krylov subspace methods for Stieltjes functions of matrices. SIAM Journal on Matrix Analysis and Applications, 35 (4): 1602-1624, 2014. BibTeX
20. S. Güttel, R. Van Beeumen, K. Meerbergen and W. Michiels. NLEIGS: A class of fully rational Krylov methods for nonlinear eigenvalue problems. SIAM Journal on Scientific Computing, 36 (6): A2842-A2864, 2014. BibTeX
21. S. Güttel and G. Klein. Efficient high-order rational integration and deferred correction with equispaced data. Electronic Transactions on Numerical Analysis, 41: 443-464, 2014. BibTeX
22. A. Frommer, S. Güttel and M. Schweitzer. Efficient and stable Arnoldi restarts for matrix functions based on quadrature. SIAM Journal on Matrix Analysis and Applications, 35 (2): 661-683, 2014. BibTeX
23. E. Jarlebring and S. Güttel. A spatially adaptive iterative method for a class of nonlinear operator eigenproblems. Electronic Transactions on Numerical Analysis, 41: 21-41, 2014. BibTeX
24. S. Güttel and J. Pestana. Some observations on weighted GMRES. Numerical Algorithms, 67 (4): 733-752, 2014. BibTeX
25. S. Güttel. Rational Krylov approximation of matrix functions: Numerical methods and optimal pole selection. GAMM-Mitteilungen, 36 (1): 8-31, 2013. BibTeX
26. S. Güttel and L. Knizhnerman. A black-box rational Arnoldi variant for Cauchy--Stieltjes matrix functions. BIT Numerical Mathematics, 53 (3): 595-616, 2013. BibTeX
27. P. Gonnet, S. Güttel and L. N. Trefethen. Robust Padé approximation via SVD. SIAM Review, 55 (1): 101-117, 2013. BibTeX
28. M. J. Gander and S. Güttel. PARAEXP: A parallel integrator for linear initial-value problems. SIAM Journal on Scientific Computing, 35 (2): C123-C142, 2013. BibTeX
29. S. Güttel and G. Klein. Convergence of linear barycentric rational interpolation for analytic functions. SIAM Journal on Numerical Analysis, 50 (5): 2560-2580, 2012. BibTeX
30. B. Beckermann and S. Güttel. Superlinear convergence of the rational Arnoldi method for the approximation of matrix functions. Numerische Mathematik, 121 (2): 205-236, 2012. BibTeX
31. M. Eiermann, O. G. Ernst and S. Güttel. Deflated restarting for matrix functions. SIAM Journal on Matrix Analysis and Applications, 32 (2): 621-641, 2011. BibTeX
32. B. Beckermann, S. Güttel and R. Vandebril. On the convergence of rational Ritz values. SIAM Journal on Matrix Analysis and Applications, 31 (4): 1740-1774, 2010. BibTeX
33. M. Afanasjew, M. Eiermann, O. G. Ernst and S. Güttel. A generalization of the steepest descent method for matrix functions. Electronic Transactions on Numerical Analysis, 28: 206-222, 2008. BibTeX
34. M. Afanasjew, M. Eiermann, O. G. Ernst and S. Güttel. Implementation of a restarted Krylov subspace method for the evaluation of matrix functions. Linear Algebra and its Applications, 429 (10): 2293-2314, 2008. BibTeX

Peer-reviewed conference proceedings

35. E. Poupard, W. P. Heath and S. Güttel. A Hamiltonian decomposition-based splitting method for interior point solvers in model predictive control. In Proceedings of the 2019 IEEE 58th Conference on Decision and Control, pages 4337-4342, IEEE, 2019. BibTeX
36. M. J. Gander, M. Petcu and S. Güttel. A nonlinear ParaExp algorithm. In Domain Decomposition Methods in Science and Engineering XXIV, pages 261-270, Springer-Verlag, Berlin, 2019. BibTeX
37. T. D. Butters, S. Güttel, J. L. Shapiro and T. J. Sharpe. Automatic real-time fault detection for industrial assets using metasensors. In Proceedings of the 2015 Asset Management Conference, pages 1-5, The Institute of Engineering and Technology, 2015. BibTeX
38. T. D. Butters, S. Güttel and J. L. Shapiro. Detecting and reducing redundancy in alarm networks. In Proceedings of the IEEE International Conference on Automation Science and Engineering (CASE), pages 1224-1229, IEEE, 2015. BibTeX
39. T. D. Butters, S. Güttel, J. L. Shapiro and T. J. Sharpe. Statistical cluster analysis and visualisation for alarm management configuration. In Proceedings of the 2014 Asset Management Conference, pages 1-6, The Institute of Engineering and Technology, 2014. BibTeX
40. S. Güttel and L. Knizhnerman. Automated parameter selection for rational Arnoldi approximation of Markov functions. In Proceedings in Applied Mathematics and Mechanics (PAMM), pages 15-18, Wiley-VCH Verlag, 2011. BibTeX
41. S. Güttel. A parallel overlapping time-domain decomposition method for ODEs. In Domain Decomposition Methods in Science and Engineering XX, pages 483-490, Springer-Verlag, Berlin, 2013. BibTeX

Theses

42. S. Güttel. Rational Krylov Methods for Operator Functions. Ph.D. Thesis, Technische Universität Bergakademie Freiberg, Germany, 2010. BibTeX

43. S. Güttel. Convergence Estimates of Krylov Subspace Methods for the Approximation of Matrix Functions Using Tools from Potential Theory. Master's Thesis, Technische Universität Bergakademie Freiberg, Germany, 2006. BibTeX

Technical reports

44. V. Druskin, S. Güttel and L. Knizhnerman. Model order reduction of layered waveguides via rational Krylov fitting. Technical Report 2021.2, The University of Manchester, UK, 2021. BibTeX
45. G. M. Negri Porzio, S. Güttel and F. Tisseur. Robust rational approximations of nonlinear eigenvalue problems. Technical Report 2020.24, The University of Manchester, UK, 2020. BibTeX
46. S. Elsworth and S. Güttel. Time series forecasting using LSTM networks: A symbolic approach. Technical Report arXiv:2003.05672v1, The University of Manchester, UK, 2020. BibTeX
47. E. Poupard, W. P. Heath and S. Güttel. A Hamiltonian decomposition for fast interior-point solvers in model predictive control. Technical Report 2020.6, The University of Manchester, UK, 2020. BibTeX
48. M. Berljafa, S. Elsworth and S. Güttel. A Rational Krylov Toolbox for MATLAB. Technical Report 2014.56, The University of Manchester, UK, 2014. BibTeX

• MATH20411 PDEs and Vector Calculus B (semester 1)
• MATH20621 Programming with Python (semester 1)
• MATH65740 Introduction to MATLAB (semester 1)
• MATH19662 Mathematics 1M2 for Civil Engineers (semester 2)
• MATH19872 Mathematics 0D2 Foundation (semester 2)

Course materials are available on Blackboard.

• Rational Krylov Toolbox for MATLAB
  A MATLAB toolbox developed with my PhD students.
• PARTYMAT.DE
  A German event management system I develop and run, and its UK version.
• Flickr photos
  I enjoy taking photos of Manchester and on travel.
• INEGO
  I play the electric bass in an alternative rock band.