ELI5: Explain Like I'm 5

Trefftz method

The Trefftz method is a way to solve complicated math problems called partial differential equations. Now, a partial differential equation is like a special kind of math problem that involves lots and lots of numbers and equations.

To understand the Trefftz method, let's imagine you have a big puzzle to solve. The puzzle has lots of different shapes and pieces, and you need to put them together in the right way. The Trefftz method is like a special way for solving this puzzle.

But instead of using all the puzzle pieces, the Trefftz method only uses a few special pieces called Trefftz functions. These Trefftz functions are like special tools that can help us solve the puzzle faster.

Now, think of the puzzle as a big math problem that needs to be solved. The Trefftz functions are like special equations that can help us find the right answer to the math problem. We can use these equations to better understand what's happening in the puzzle and find the solution.

But why is the Trefftz method so useful? Well, imagine if we didn't have these special equations. Solving the math problem would be much harder and take a lot of time. The Trefftz method makes things easier by giving us shortcuts or special techniques to find the solution.

So, in summary, the Trefftz method is a special way to solve complicated math problems by using special equations called Trefftz functions. These equations help us understand the problem better and find the solution faster, just like special puzzle pieces help us complete a puzzle faster.