Tom Werner

Postal address:
Institute for Numerical Analysis
Universitätsplatz 2
D-38106 Braunschweig

Contact:
Room F504, 5th floor of the Forumsgebäude
Phone: +49 531 391 7538
E-Mail: tom.werner(at)tu-bs.de

Office hours: by appointment via E-Mail


Research interests:

Numerical Linear Algebra and Matrix Analysis, in particular

  • Nonlinear eigenvalue problems, specifically nonlinear eigenvalue problems with eigenvector dependency (NEPv)
  • Nonlinear matrix equations
  • Iterative methods for linear operator equations

Publications:

  • An inexact Matrix-Newton method for solving NEPv
    Tom Werner
    submitted to Linear Algebra and Its Applciations (LAA), preprint available from arXiv
  • The complex step method for approximating the Fréchet derivative of matrix functions in automorphism groups
    Tom Werner
    GAMM Archive for Students, 4(1), 2022. (https://doi.org/10.14464/gammas.v4i1.493)

Participation in Conferences and Presentations:

  • 25th Conference of the International Linear Algebra Society (ILAS 2023), Madrid, June 12-16, 2023,
    Presentation "An inexact matrix-Newton method for solving eigenvector-dependent nonlinear eigenvalue problems"
  • Applied Numerical Analysis Seminar at Virginia Tech, Blacksburg, VA, February 02, 2024,
    Presentation "The inexact matrix-Newton framework for solving NEPv"
  • Applied Math Seminar at University of Kentucky, Lexington, KY, April 04, 2024,
    Presentation "The inexact matrix-Newton framework for solving NEPv"
  • SIAM Conference on Applied Linear Algebra (LA24), Paris, May 13-17, 2024,
    Presentation "On a matrix-Newton-type framework for solving NEPv"
  • GAMM Workshop on Applied and Numerical Linear Algebra 2024, Göttingen, September 23-24, 2024,
    Presentation "On a matrix-Newton-type framework for solving NEPv"

Teaching at TU Braunschweig:

Winter term 2024/2025

  • Teaching assistant Introduction to Numerical Analysis (Prof. Dr. H. Faßbender)

Summer term 2024

  • Teaching assistant Numerical Methods and Learning from Data (Prof. Dr. M. Bollhöfer)

Winter term 2023/2024

  • Teaching assistant Introduction to Numerical Analysis for computer science (Prof. Dr. M. Bollhöfer)

Summer term 2023

  • Teaching assistant Numerical Linear Algebra (Prof. Dr. H. Faßbender)
  • Teaching assistant Advanced Computer Lab Numerical Analysis (Prof. Dr. M. Bollhöfer)
     

Winter term 2022/2023

  • Teaching assistant Introduction to Numerical Analysis for computer science  (Prof. Dr. M. Bollhöfer)

Summer term 2022

  • Teaching assistant Computeroriented Mathematics 2 (Prof. Dr. M. Bollhöfer)
  • Teaching assistant Advanced Computer Lab Numerical Analysis (Prof. Dr. M. Bollhöfer)

Winter term 2021/2022

  • Teaching assistant Computeroriented Mathematics 1 (Prof. Dr. M. Bollhöfer)

Summer term 2021

  • Teaching assistant Computer Lab Numerical Analysis (Prof. Dr. H. Faßbender)

Earlier work as student assistant

  • Tutorials in Introduction to Numerical Analysis (Winter terms 17/18, 18/19 and 19/20)
  • Computer Lab Numerical Analysis and Advanced Computer Lab Numerical Analysis (Summer term 19)
  • Tutorials in Numerical Methods and Learning from Data (Winter term 20/21)