Title: Structure-aware Krylov approximations to generalized Cayley transforms, Speaker(s): Prof. Andreas Frommer, University of Wuppertal, Date and time: Oct 25, 2024, 11:00 AM (Europe/Rome), Lecture series: Seminar on Numerical Analysis, Venue: Scuola Normale Superiore (Aula Mancini). You can access the full event here: https://events.dm.unipi.it/e/296 Abstract -------- Generalized Cayley transforms arise in implicit numerical integration schemes for ordinary differential equations and differential-algebraic equations. We consider Arnoldi-type methods to approximate the action of such a Cayley transform on a vector and investigate how energy conservation or dissipation can be enforced at the level of each Arnoldi iterate, not just at the level of the exact solution. We also investigate generalizations to higher order collocation methods. -- Indico :: Email Notifier https://events.dm.unipi.it/e/296