The objective of this symposium is to discuss new advances in numerical methods for linear and non-linear dynamics and wave propagation. Topics of interest include, but are not limited to: new space and time discretization methods for dynamical systems; high-order accurate methods including finite, spectral, isogeometric elements and others; methods with reduced numerical dispersion; filtering spurious oscillations; fictitious domain methods with the special treatment of the boundary conditions; new implicit and explicit time-integration methods for structural dynamics, wave propagation and impact problems; adaptive methods and space and time error estimators; application of new numerical methods to engineering dynamics and wave propagation problems.