Physics Bucharest 2017

Stochastic vs. Deterministic Methods

 Stochastic and deterministic methods:  both converge to the same solution  same accuracy

 Stochastic (MC)

 Deterministic (AXB)

 Particle tracking process  Errors come from insufficient

 Solve full phase-space solution everywhere  Errors come from insufficient refinement of discretized variables  No statistical noise  High efficiency in large attenuation regions and volumes

number of interactions simulated and voxel size

 Stochastic errors  Low efficiency in large attenuation regions and volumes

From: Fogliata Antonella