Tim A. Werthmann, M.Sc.Institut für Geometrie und Praktische MathematikRWTH Aachen Templergraben 55 52056 Aachen Germany advisor: Lars Grasedyckoffice: Hauptgebäude 103phone: +49 241 80-93064email: werthmann@igpm.rwth-aachen.de |
Preprints and Publications
- L. Grasedyck, T. A. Werthmann
Operator-dependent prolongation and restriction for the parameter-dependent multigrid method using low-rank tensor formats
Submitted, 2024. - L. Grasedyck, T. A. Werthmann
Computing tensor operator exponentials within low-rank tensor formats with application to the parameter-dependent multigrid method
In: PAMM 22: e202200093 (2023) - A. Rörich, T. A. Werthmann, D. Göddeke, L. Grasedyck
Bayesian inversion for electromyography using low-rank tensor formats
In: Inverse Problems 37.5 (2021) - L. Grasedyck, M. Klever, C. Löbbert, T. A. Werthmann
A parameter-dependent smoother for the multigrid method
Forthcoming in International Journal of Computing and Visualization in Science and Engineering, 2019.
Research Interests
- Low-rank tensor formats
- Preconditioning techniques for tensor problems
- Computation of extremal eigenvalues of tensor operators
- Exponential sums and the computation of the tensor exponential
- Multigrid methods for parameter-dependent problems
- High-dimensional problems in medical applications, for example, parameter-dependent EEG leadfield matrices
- Fast C++ implementation of iterative solvers in hierarchical tensor formats
Travel and Talks
- 21st to 25th October 2024
Participant and Poster Presenter at the Workshop Nonlinear Approximation, PDEs and High-Dimensional Problems - 3rd to 5th April 2024
Co-Organizer and Participant at The ABCs of Sparsity and Singular Structures - 26th to 29th February 2024
Participant and Poster Presenter at the Symposium on Sparsity and Singular Structures 2024 - 13th to 15th September 2023
Organizer of and Speaker at the 10th Workshop on Matrix Equations and Tensor Techniques (METT X) - 20th to 25th August 2023
Speaker at the ICIAM 2023 Tokyo - 22nd to 26th May 2023
Participant and Poster Presenter in the Spring School on Sparsity and Singular Structures 2023 - 15th to 19th August 2022
Speaker at the GAMM Annual Meeting 2022 - 9th to 10th September 2021
Speaker at the Matrix Equations and Tensor Techniques IX (METTIX) - 24th to 28th February 2020
Research visit at the University of Stuttgart, where I presented a talk about "Low-rank tensor methods for the electromyographic problem" - 6th to 8th November 2019
Speaker at the METT VIII - 8th Workshop on Matrix Equations and Tensor Techniques, where I presented the following slides - 17th to 30th June 2019
Participant and Poster Presenter in the Gene Golub SIAM Summer School 2019 - 4th to 8th March 2019
Participant in the Winterschool on Hierarchical Matrices 2019
Teaching
- Winter semester 2024/25
Functional Analysis as Assistant - Summer semester 2024
Mathematisches Praktikum as Assistant, Examiner, and Lecturer - Winter semester 2023/24
Functional Analysis as Assistant - Summer semester 2023
Mathematisches Praktikum as Assistant, Examiner, and Lecturer - Winter semester 2022/23
Functional Analysis as Assistant
Supervision of a Bachelor seminar - Summer semester 2022
Mathematisches Praktikum as Assistant, Examiner, and Lecturer - Winter semester 2021/22
Functional Analysis as Assistant
Supervision of a Master seminar - Summer semester 2021
Mathematisches Praktikum as Assistant, Examiner, and Lecturer - Winter semester 2020/21
Functional Analysis as Assistant - Summer semester 2020
Mathematisches Praktikum as Assistant, Examiner, and Lecturer
Supervision of a Bachelor thesis - Winter semester 2019/20
Mathematics I (f. Civil Engineers a.o.) as Assistant
Supervision of two Bachelor seminars
Supervision of a Master seminar - Summer semester 2019
Mathematics II (f. Civil Engineers a.o.) as Assistant
Education
- Master of Science in Mathematics at RWTH Aachen
Thesis title: Multiparametric Representation of EEG Leadfield Matrices
Supervisor: Prof. Dr. Lars Grasedyck - Bachelor of Science in Mathematics at RWTH Aachen
Thesis title: An Efficient Method for Binary Classification by means of Logistic Regression and Tensor Format Representation
Supervisor: Prof. Dr. Mike Espig