Newcastle almost equalised in stoppage time but Stoke keeper Jack Butland acrobatically flung himself to his left to deny Seydou Doumbia.
It had been a backs-to-the-wall display from Newcastle in the first half, with Stoke dominating possession but failing to test visiting keeper Rob Elliot.
Mark Hughes's side managed just one shot on target in the first half, while Newcastle did not win their first corner until the 88th minute.
(Reporting by Toby Davis; editing by Ed Osmond)
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