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
  Linear Algebra and Its Applications, to be published in "LAA Special Issue ILAS 2023". (https://doi.org/10.1016/j.laa.2024.11.003)
• 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"
• GAMM Annual Meeting 2025, Poznan, April 07-11, 2025
  Presentation "On a matrix-Newton-type framework for solving NEPv"

Summer term 2025

• Practice (In English) for Mathematics for Engineers B - Calculus 2 and ODEs (Prof. Dr. D. Langemann)
• Course "Math for Beginners" in Mathematics for Engineers B - Calculus 2 and ODEs (Prof. Dr. D. Langemann)  

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)