After the first detections of gravitational waves from the collision of compact merging binaries, including both black holes and neutron stars, the next great new detection could be associated with the collapse of massive stars. With a galactic event rate of about 2-3 per century, core-collapse supernovae are a primary candidate for gravitational wave detectors and their observation could unveil the mechanism for this powerful explosions as well as help us understanding the properties of matter at high densities. The first part of this lecture will focus on the properties of the gravitational waves emitted during this cataclysmic events and how they can be used to learn about the properties of the source. Other sources of gravitational waves pertaining to the same class of burst-like sources will also be reviewed. In the second part I will review the numerical analysis algorithms that could potentially detect this class of sources, focusing specially in core-collapse supernovae, that range from excess-power searches to machine learning methods.