This paper is aimed at presenting a new time-domain imaging technique that combines the regularization properties of the Filtered FBTS method with an efficient information-acquisition strategy, namely the Iterative Multi-Scaling Approach (IMSA). The proposed time-domain approach is then validated by means of a set of preliminary numerical test cases aimed at pointing out its features and potent...

Solving an evolution problem in parallel is naturally undertaken by trying to paral13 lelize the algorithm in space, and then still follow a time stepping method from the 14 initial time t = 0 to the final time t = T . This is especially easy to do when an explicit 15 time stepping method is used, because in that case the time step for each component 16 is only based on past, known data, and th...

A collection of methods is presented to adapt a pre-existing time-stepping code to perform various bifurcation-theoretic tasks. It is shown that the implicit linear step of a time-stepping code can serve as a highly effective preconditioner for solving linear systems involving the full Jacobian via conjugate gradient iteration. The methods presented for steady-state solving, continuation, direc...

Abstract. This paper provides convergence analysis of regularized time-stepping methods for the differential variational inequality (DVI), which consists of a system of ordinary differential equations and a parametric variational inequality (PVI) as the constraint. The PVI often has multiple solutions at each step of a time-stepping method and it is hard to choose an appropriate solution for gu...