14 citations · 14 across the 4 of their papers we have counts for
5 papers
Ornstein--Uhlenbeck semigroup on rooted trees
Sahiba Arora, Marjeta Kramar Fijavž, Delio Mugnolo +1
We study Ornstein--Uhlenbeck operators on rooted metric trees equipped with a Gaussian-type measure. Using form methods, we construct Dirichlet and Neumann realisations correspondi…
Journey Through the World of Dynamical Systems on Networks
A. Puchalska, M. N. Cartier van Dissel, P. Gora +9
We present a subjective selection of methods for complex systems analysis ranging from statistical tools through numerical methods based on AI to both linear and non-linear ODEs an…
Dynamic Transmission Conditions for Linear Hyperbolic Systems on Networks
Marjeta Kramar Fijavž, Delio Mugnolo, Serge Nicaise
We study evolution equations on networks that can be modeled by means of hyperbolic systems. We extend our previous findings in \cite{KraMugNic20} by discussing well-posedness unde…
Linear Hyperbolic Systems on Networks
Marjeta Kramar Fijavž, Delio Mugnolo, Serge Nicaise
We study hyperbolic systems of one-dimensional partial differential equations under general, possibly non-local boundary conditions. A large class of evolution equations, either on…
Equal-area method for scalar conservation laws
Marjeta Kramar Fijavž, Mitja Lakner, Marjeta Škapin Rugelj
We study one-dimensional conservation law. We develop a simple numerical method for computing the unique entropy admissible weak solution to the initial problem. The method basis o…