Математические стихи / песня
Consider the equation of heat transfer today.
So that we can find its solution,
We need a grid of points and it will be okay,
And these ideas make an important contribution.
Approximations calculus, approximations calculus
Can compute with any precision.
And it will allow us, and it will allow us
To make the right decision.
In order to construct a finite difference scheme,
You must replace a derivative by divided difference.
And you may use the balance method, which is mainstream,
To check the property of conservativeness.
Use the finite differences, use the finite differences
Choosing some proper stencil.
But you need to analyse, but you need to analyse
Convergence of your finite difference method.
Implicit and explicit methods may have a place,
Implicit methods are usually rather stable.
But you must check the order of accuracy,
Then you will manage to solve the problem, you will be able.
Approximations calculus, approximations calculus
Will help to solve a linear system
But it requires time for us, but it requires time for us
To obtain an accurate approximation.
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