4 papers
Reconstructing the system coefficients for coupled harmonic oscillators
Jan Bartsch, Ahmed A. Barakat, Simon Buchwald +3
Physical models often contain unknown functions and relations. In order to gain more insights into the nature of physical processes, these unknown functions have to be identified o…
Adjoint-based optimal control of jump-diffusion processes
Jan Bartsch, Alfio Borzi, Gabriele Ciaramella +1
Stochastic differential equations (SDEs) using jump-diffusion processes describe many natural phenomena at the microscopic level. Since they are commonly used to model economic and…
Reconstruction of unknown monotone nonlinear operators in semilinear elliptic models using optimal inputs
Jan Bartsch, Simon Buchwald, Gabriele Ciaramella +1
Physical models often contain unknown functions and relations. The goal of our work is to answer the question of how one should excite or control a system under consideration in an…
Adjoint-based calibration of nonlinear stochastic differential equations
Jan Bartsch, Robert Denk, Stefan Volkwein
To study the nonlinear properties of complex natural phenomena, the evolution of the quantity of interest can be often represented by systems of coupled nonlinear stochastic differ…