This paper is concerned with the adaptation of alternating direction implicit (ADI) time
discretization schemes for the numerical solution of partial integro-differential equations …

For the numerical solution of parabolic problems with a linear diffusion term, linearly implicit
time integrators are considered. To reduce the cost on the linear algebra level, an …

Results on unconditional convergence in the maximum norm for ADI-type methods, such as
the Douglas method, applied to the time integration of parabolic problems are quite difficult …

In this note we consider splitting methods based on linear multistep methods and stabilizing
corrections. To enhance the stability of the methods, we employ an idea of Bruno and …

The study of convergence of time integrators, applied to linear discretized PDEs, relies on
the power boundedness of the stability matrix R. The present work investigates power …

Results on unconditional convergence in the Maximum norm for ADI-type methods, such as
the Douglas method, applied to the time integration of semilinear parabolic problems are …