This minisymposium focuses on both theoretical and practical aspects concerning the transient solution of problems in structural dynamics in science and engineering. Particularly, novel numerical methods and solution strategies as well as discretization schemes in space and time for wave propagation, structural vibration, structural health monitoring, coupled problems (e.g., fluid-structure-interaction) and impact problems are of interest. This includes, but is not limited to the development or the application of • isogeometric and high-order finite element methods (e.g., IGA, SEM, p-FEM, VEM, among others), • fictitious/embedded domain and immersed boundary methods, • meshfree methods, • mass lumping and mass scaling techniques, or • advanced time integration schemes (e.g., novel implicit, explicit, implicit-explicit or asynchronous time integration schemes, sub-cycling, parallel implementation, etc.). Furthermore, we particularly welcome contributions focused on large-scale challenges and industry-relevant applications.