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An improved trailer hitch for automatically aligning and coupling a trailer to a towing vehicle. A movable coupler has a forward portion comprising a conventional socket and latching device for attachment to a ball on the towing vehicle and a rearward portion comprising vertically oriented rearwardly converging side walls. The rearward portion is configured to mate with an opening in the trailer front end so that the side walls abut vertically oriented forwardly diverging guide plates in the trailer front end. The side walls have a vertical thickness along a portion of their length substantially less than the vertical thickness of the guide plates so that the coupler may be raised vertically while in the opening to facilitate attachment of the socket on the coupler to the ball on the towing vehicle. Means are provided for automatically locking the coupler to the trailer when the side walls of the coupler are in abutment with the guide plates in the trailer front end.

Semi-discrétisation en temps pour les équations d'évolution paraboliques lorsque l'opérateur dépend du temps