Year: 2026
Type: article
Abstract: The new class of alternating-conjugate splitting methods is presented and analyzed. They are obtained by concatenating a given composition involving complex coefficients with the same composition but with the complex conjugate coefficients. We show that schemes of this type exhibit good long time behavior when applied to linear unitary and linear Hamiltonian systems, in contrast with other methods based on complex coefficients, and study in detail their preservation properties. We also present new schemes within this class up to order 6 that exhibit better efficiency than state-of-the-art splitting methods with real coefficients for some classes of problems.
Source: Mathematics of Computation
DOI: 10.1090/mcom/4193
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G5392002724, G846842501
OpenAlex ID: W7124180132