Second-order exponential splittings in the presence of unbounded and time-dependent operators: construction and convergence

Karolina Kropielnicka, Juan Carlos del Valle

For linear differential equations of the form $u^{\prime }(t)=[A+B(t)]u(t)$, $t\ge 0$, with a possibly unbounded operator $A$, we construct and deduce error bounds for two families of se…