Operator splitting for nonautonomous delay equations
arXiv:1202.438914 citationsh-index: 14
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This work offers a theoretical foundation for operator splitting methods in nonautonomous delay equations, which is incremental for researchers in numerical analysis of delay differential equations.
The paper provides a general product formula for solving nonautonomous abstract delay equations, proves convergence, and obtains order-of-convergence estimates for differentiable history functions, with numerical examples demonstrating the results.
We provide a general product formula for the solution of nonautonomous abstract delay equations. After having shown the convergence we obtain estimates on the order of convergence for differentiable history functions. Finally, the theoretical results are demonstrated on some typical numerical examples.