The phrase "a more uncompromising method of" is correct and usable in written English.
It can be used when discussing a method that is stricter or more rigid than others in a particular context.
Example: "The researchers adopted a more uncompromising method of data collection to ensure the highest level of accuracy."
Alternatives: "a stricter approach to" or "a more rigid technique for".
The essence of the old World Cup winning captain – the pragmatist, the man whose toughness defined a different, more uncompromising kind of Brazilian attitude – characterised a feisty win.
And the industrial-scale targeting of midlevel Taliban commanders in Afghanistan has led to the rise of a younger, more uncompromising generation of leaders.
That concession is creating considerable discontent on the more uncompromising wing of the left.
One outcome of the American invasion is that it has generated a much more uncompromising "fundamentalist" politico-ideological constellation in Iraq.
And a host of serious risks await as global warming intensifies, although nascent efforts are under way to adapt and prepare for a hotter, more uncompromising planet.
The coup further strained the Polish Lithuanian relations, making Lithuanians even more uncompromising and afraid of Polish annexation.
The producers of 24 have made it clear that he is a man whose uncompromising methods are seriously out of date.
Ruse, maybe most famous for Taking Darwin Seriously, and both a committed evolutionist and a committed unbeliever, takes to task some of the more uncompromising evolutionists for the difficulties that they create for any political resolution of the evolution/creationism controversy.
Even more uncompromising is ackee, a small fruit akin to litchi, with pale lobes of flesh and seeds as glossy as olives.
Brilliantly bleak, this story of two undercover Russian spies is a thriller that doubles as a meditation on intimacy, and the show only gets more uncompromising each year.
