Seminar: Exponential Integrators


Please write a mail to Alexander Zeilmann until April 12th, 2021 if you consider participating.

The first meeting, discussing the seminar and answering questions will take place in the first or second week of the semester.

Afterward, you write a mail with a ranking of your favorite 2 (or more) papers, that the papers can be assigned in case of collisions (otherwise chosen by lot).


The seminar is targeted mainly at Master students in mathematics and related areas.

Every Student is supposed to introduce one of the listed papers by a 30-minute talk (plus discussion). Additionally, write a small summary with 3 to 5 pages at most (references excluded). As this is a seminar, you are expected to use English for your summary, slides and talk.


  • Submission slides: one week in advance of your presentation
  • Submission summary: one week after your presentation
  • Talks: Depending on the number of participants as block seminar or weekly seminar. The seminar will be entirely online.


Contact Alexander Zeilmann for the PDFs

  • Jitse Niesen, Will M. Wright - Algorithm 919: A Krylov Subspace Algorithm for Evaluating the φ-Functions Appearing in Exponential Integrators
  • Cleve Moler, Charles Van Loan - Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
  • Michele Benzi, Valeria Simoncini - Approximation of functions of large matrices with Kronecker structure
  • Marlis Hochbruck, Christian Lubich - On Krylov subspace approximations to the matrix exponential operator
  • Marlis Hochbruck, Alexander Ostermann, Julia Schweitzer - Exponential Rosenbrock-Type Methods

There will be more papers if there are more participants.