Operator splitting for nonautonomous delay equations

Abstract

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.

to appear in "Computers & Mathematics with Applications (CAMWA)"

References in corpus (2)

• Operator splitting for non-autonomous evolution equations
• Operator splittings and spatial approximations for evolution equations

Cited by in corpus (4)

• A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance
• Exponential Runge-Kutta methods of collocation type for parabolic equations with time-dependent delay
• Operator splitting for abstract Cauchy problems with dynamical boundary condition
• Lie-Trotter product formula for locally equicontinuous and tight Markov semigroup