Efficient Simulation of Interacting Particle Systems in Continuous Space and Time

Abstract : Interacting particle systems models became an increasingly important tool for modeling complex real-world phenomena with applications ranging from ecology, classical physics to tumor evolution. The need for efficient algorithm for simulations becomes therefore apparent. The existing simulation ideas and frameworks mostly make use of lattice models with discrete time. The work presents an efficient algorithm allowing simulation of complicated models while allowing particles positioned in continuous space with continuous timing between events.