3 papers
math.NA2025
Regularization for time-dependent inverse problems: Geometry of Lebesgue-Bochner spaces and algorithms
Gesa Sarnighausen, Thorsten Hohage, Martin Burger +2
We consider time-dependent inverse problems in a mathematical setting using Lebesgue-Bochner spaces. Such problems arise when one aims to recover a function from given observations…
math.AP2024
Lane formation and aggregation spots in a model of ants
Maria Bruna, Martin Burger, Oscar de Wit
We investigate an interacting particle model to simulate a foraging colony of ants, where each ant is represented as an active Brownian particle. The interactions among ants are me…
math.OC2023
Ill-posedness of time-dependent inverse problems in Lebesgue-Bochner spaces
Martin Burger, Thomas Schuster, Anne Wald
We consider time-dependent inverse problems in a mathematical setting using Lebesgue-Bochner spaces. Such problems arise when one aims to recover parameters from given observations…