Modified Richardson iteration
Okay kiddo, let's talk about something called "modified Richardson iteration". It's a way of solving really big math problems that would take us a very long time to solve by hand (and we'd probably make mistakes!).
So, imagine we have a really big math problem we want to solve, like 7 + 3x = 16. We can use something called "iteration" to solve it. That means we keep trying different values for x until we find one that works.
With "modified Richardson iteration", we use a special formula to help us try different values of x. We start with an initial guess for x, and then we use that formula to get a new guess.
Then, we keep using the formula with our new guess to get even better guesses. It's like we're getting closer and closer to the right answer a little bit at a time.
The reason it's called "modified" is because we can change the formula a little bit to make it work better for different types of math problems. We can also change how many times we guess and how much we change our guess each time to make it work even better.
So basically, "modified Richardson iteration" is a really cool way to solve really big math problems by making guesses and improving them little by little until we get the right answer.
So, imagine we have a really big math problem we want to solve, like 7 + 3x = 16. We can use something called "iteration" to solve it. That means we keep trying different values for x until we find one that works.
With "modified Richardson iteration", we use a special formula to help us try different values of x. We start with an initial guess for x, and then we use that formula to get a new guess.
Then, we keep using the formula with our new guess to get even better guesses. It's like we're getting closer and closer to the right answer a little bit at a time.
The reason it's called "modified" is because we can change the formula a little bit to make it work better for different types of math problems. We can also change how many times we guess and how much we change our guess each time to make it work even better.
So basically, "modified Richardson iteration" is a really cool way to solve really big math problems by making guesses and improving them little by little until we get the right answer.