Operator splittings and spatial approximations for evolution equations
The convergence of various operator splitting procedures, such as the sequential, the Strang
and the weighted splitting, is investigated in the presence of a spatial approximation. To this
end the relevant notions and results of numerical analysis are presented, a variant of
Chernoff's product formula is proved and the general Trotter–Kato approximation theorem is
used. The methods are applied to an abstract partial delay differential equation.
and the weighted splitting, is investigated in the presence of a spatial approximation. To this
end the relevant notions and results of numerical analysis are presented, a variant of
Chernoff's product formula is proved and the general Trotter–Kato approximation theorem is
used. The methods are applied to an abstract partial delay differential equation.
Abstract
The convergence of various operator splitting procedures, such as the sequential, the Strang and the weighted splitting, is investigated in the presence of a spatial approximation. To this end the relevant notions and results of numerical analysis are presented, a variant of Chernoff’s product formula is proved and the general Trotter–Kato approximation theorem is used. The methods are applied to an abstract partial delay differential equation.
Springer