Definition of "valiantly"

I valiantly resolve not to go to bed at all, but to walk up and down the pier till morning.

1842, Charles Dickens, “A Night Steamer on the Potomac River. […]”, in American Notes for General Circulation. […], volume II, London: Chapman and Hall, […], page 4

We may think of the young people who valiantly stood for the cause of human rights and resisted their infringement, in spite of the violent crackdown by the Chinese regime at T’ien-an-men Square in June 1989.

1999, Felix Wilfred, “Asian Dreams and Christian Hope”, in Virgil Elizondo, Jon Sobrino, editors, 2000: Reality and Hope‎, page 71