Dynamical probes and transport experiments are vital in deciphering quantum spin liquids, an exotic phase of matter with proposed applications in fault-tolerant quantum computing. However, experiments on candidate materials are usually performed at finite temperature away from perturbative regimes, evading analytical descriptions. Moreover, numerical simulations on the quantum Hamiltonians often suffer from finite size effects or short time evolution windows. In this talk, I provide an overview of my work involving classical numerical methods, specifically finite temperature Monte Carlo algorithms and Landau-Lifshitz Gilbert equations, to simulate dynamics in frustrated magnets. Using these methods, we offer insights into the finite-temperature crossover behaviour between the spin excitation continuum in a quantum spin liquid and topological magnons in the field-polarized state in various models with large Kitaev interactions.