Research
Simulations
One of the Basque Center for Applied Mathematics’ goal is to enable effective modelling and detailed simulations of extremely large, complex systems and phenomena, which are not possible with existing simulation methods and often without High Performance Computers (HPC). Below you can see some featured simulations created by the different research groups at the center. You can also visit our Youtube channel to see more simulations.

Hierarchical sequence optimization for spacecraft transfer trajectories based on the employment of meta-heuristics
Description: This video shows the simulation of hierarchical sequence optimization for spacecraft transfer trajectories based on the employment of meta-heuristics. Three types of evolutionary algorithms including ìGenetic Algorithmî, ìParticle Swarm Optimizationî and ìEstimation of Distribution Algorithmsî are used in optimal guidance approach utilizing low-thrust trajectories. Different initial orbits are considered for each algorithm while the orbits are expected to have the same shape and orientation at the end of space mission.

Simulation of a wild-fire front trespassing a short firebreak

The MARIN benchmark (without phase separation)

The MARIN benchmark (with phase separation)

Patient-specific simulation of Cortical Spreading Depression

Multi-impulse Long-Range Space Rendezvous via Evolutionary Discretized Lambert Approach
Transfering satellites between space orbits is a challenging task. Due to the complexity of the space systems, finding optimal transfer trajectories requires efficient approaches. This video shows the simulation of the satellite motion in a space mission, where a new evolutionary algorithm is developed and utilized for the orbit transfer. The satellite performs multiple transfers between intermediate orbits until it reaches the desired destination. Novel heuristic mechanisms are used in the development of the optimization algorithm for spacecraft trajectory design. Simulation results indicate the effectiveness of the algorithm in finding optimal transfer trajectories for the satellite.