Iterative operator-splitting methods for unbounded operators: Error analysis and examples
It offers a theoretical framework for splitting methods with unbounded operators, relevant to numerical analysts and applied mathematicians working on PDEs.
The paper develops iterative operator-splitting methods for unbounded operators, providing error bounds and demonstrating applications to mixed hyperbolic/parabolic problems, ODEs, and Schrödinger equations.
In this paper we describe an iterative operator-splitting method for unbounded operators. We derive error bounds for iterative splitting methods in the presence of unbounded operators and semigroup operators. Here mixed applications of hyperbolic and parabolic type are allowed and discussed in the applications. Mixed experiments are applied to ordinary differential equations and evolutionary Schrödinger equations.