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Reverse-time migration (RTM) and full-waveform inversion (FWI) are a powerful but computationally expensive method. We propose to improve their efficiency by using a multisource method and a general-purpose graphics processing unit (GPGPU). In the multisource method, several sources are used simultaneously to compute the migration image and the gradient of the misfit function resulting to a reduction in computational costs of RTM and FWI. Combining the high-performance GPGPU, multisource RTM and FWI are two orders of magnitude faster than conventional methods.