Gravitational wave astronomy is revolutionizing our understanding of the Universe. Since the historic discovery of GW150914 in 2015,ground-based interferometershave discoveredover 90 compact binarycoalescenceevents. These events, lasting from fractions of seconds to minutes, include stellar-mass binary black holes, binary neutron stars and neutron star-black hole binaries. Meanwhile, pulsar timing arrays arebeingexploitedto search for gravitational waves with periods of years to decades. After several decades of international efforts,wemay be finallyapproaching the sensitivity to detect waves from supermassive binary black holes. In this talk, I will briefly summarize recent progresses and future prospects of gravitational wave astronomy on both short and long timescales, whilefocusingon the study of binary neutron stars andsupermassive binary black holes.