New Way to make 169-Year-Old Math Strategy Perform 200 Times Faster

New Way to make 169-Year-Old Math Strategy Perform 200 Times Faster

Researchers have said that they have found a way to make a 169-year-old math strategy work 200 times faster. They are now aiming at improving the performance of computer simulations used in aerospace design, shipbuilding, weather and climate modeling, biomechanics and other engineering tasks.

The strategy was actually the Jacobi iterative method. It was unveiled by Carl Gustav Jacob Jacobi, a prominent German mathematician, in 1845 to solve systems of linear. However, the strategy used to take a very long time because it needed to start with a guess and then repeat a series of math operations over and over until a useful solution appeared.

Using the Jacobi method in computational mechanics will enable people solve a problem in just one day, instead of 200 days, said Rajat Mittal, a mechanical engineering professor in the university's Whiting School of Engineering and senior author of the journal article.

Johns Hopkins graduate student Xiang Yang and Mittal worked together to improve the useless 169-year-old math strategy. The paper has provided a way to speed up this method significantly. What all needs to be done for the same is to just change four or five lines in the computer code.

"It just took so much time and so many computations to get to the answer you wanted. And there were better methods. That's why this Jacobi method isn't being used much today", said mechanical engineering grad student Yang.

Yang made efforts to improve the strategy after listening about in Mittal's class. Then, they both worked to hone the updated math strategy. They called it a 'scheduled relaxation Jacobi method'. Now, Mittal believes that the modified method will be used in many industry applications.

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