Operator Splitting

• cours magistral

Lecture 10 Operator Splitting In many applications the combined effect of several physical (or chemical, etc.) phenomena is mod- elled. In these cases one has to solve a partial differential equation where the local time derivative of the modelled physical quantity equals the sum of several operators, describing how this quantity behaves in space. The idea behind operator splitting procedures is that, instead of the sum, we treat each spatial operator separately, i.

• corresponding sub-problems
• sequential splitting
• investigation of higher order splitting formulae
• order convergence of the sequential splitting
• local error
• continuous semigroups
• continuous semigroups on the banach space x.
• operators
• problem