  In this paper, we develop an adaptive multiresolution discontinuous Galerkin
(DG) scheme for time-dependent transport equations in multi-dimensions. The
method is constructed using multiwavlelets on tensorized nested grids.
Adaptivity is realized by error thresholding based on the hierarchical surplus,
and the Runge-Kutta DG (RKDG) scheme is employed as the reference time
evolution algorithm. We show that the scheme performs similarly to a sparse
grid DG method when the solution is smooth, reducing computational cost in
multi-dimensions. When the solution is no longer smooth, the adaptive algorithm
can automatically capture fine local structures. The method is therefore very
suitable for deterministic kinetic simulations. Numerical results including
several benchmark tests, the Vlasov-Poisson (VP) and oscillatory VP systems are
provided.
