resolutely

In a determined, unyielding manner.

• Dorcas, faithful to her “young gentlemen,” denied strenuously that it could have been John’s voice she heard, and resolutely declared, in the teeth of everything, that it was Mr. Inglethorp who had been in the boudoir with her mistress.
• It was applied methodically, carefully, resolutely, as in the fashion of a Satin-bird with charcoal, desiccated wood or blue from laundry-bags.