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The numerical solution of differential equations, notably the Navier-Stokes equations was an important stimulus to computing, with Lewis Fry Richardson 's numerical approach to solving differential equations. The first computerised weather forecast was performed in 1950 by a team composed of American meteorologists Jule Charney , Philip Thompson, Larry Gates, and Norwegian meteorologist Ragnar Fjørtoft , applied mathematician John von Neumann , and ENIAC programmer Klara Dan von Neumann .    To this day, some of the most powerful computer systems on Earth are used for weather forecasts . [ citation needed ]