Numerical analysis view on the general Trotter--Kato product formulae
2021
We show that the abstract operator-theoretic (general) Trotter–Kato formulae yield the convergence of numerical methods used for solving differential equations. These methods combine operator splitting procedures with certain time discretisation schemes which should be consistent, strongly A-stable, positive rational approximations of the exponential function. We also
show that it is possible to apply more numerical steps in one splitting time step and the convergence results remain true.
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