The dynamics and evolution of Earth’s mantle are governed by structures and processes interacting on a wide range of scales: long-wavelength mantle convection and large thermochemical structures are intimately linked with small-scale processes in the boundary layers, and understanding the effective properties of mantle rocks require insights on the mineral scale. These processes are not only multi-scale spatially but also act over strongly different timescales. Understanding the Earth’s mantle across these scales is an extensive problem typically outside the range of analytical solutions. This invites the application of numerical methods to capture vastly different scales and the development of clever parameterisations to tackle this multi-scale problem. This session will explore the link between Earth’s mantle processes operating on different spatial and/or temporal scales. We invite contributions from various disciplines including geodynamics, seismology, mineral physics, and that highlight computational advances in tackling dynamical problems that span scales in time and space.