After her operation, the patient was sent to a nursing home to
convalesce.
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The noun forms of the verb to convalesce are convalescent, convalescence, and the gerund, convalescing.
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She convalesces after the blow to her head.
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convalesce.
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If by another name, you mean synonyms, there are several:
boomerang, revive, recuperate, rally, pull through, convalesce,
revive, and quite a few others.