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I have taken a programming course. And I have learned about Simpson, Trapezoidal and the midpoint rule etc, I have programmed these.

I have also implemented forward Euler, backward euler, Runge Kutta etc for solving ODE.

I am wondering if there is any way to unify these two things, are there any texts you know that treat these two things as allmost the same? They were thought seperately but when you solve an ODE analytically, you integrate. So the Euler method is kind of an integration, but these methods are not derived this way, they are derived with you wanting to iterate forward, and it is not an emphasis on integration.

Are there any texts or anything that unites these two things? It seems like the only difference is that in one case you have to iterate and in the other you dont really iterate, but in both you integrate?

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# Connection between numerical integration and solving ODE numerically.

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