# Questions tagged [numerical-methods]

Questions on numerical methods; methods for approximately solving various problems that often do not admit exact solutions. Such problems can be in various fields. Numerical methods provide a way to solve problems quickly and easily compared to analytic solutions.

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### Using sympy to solve a very complicated equation

I have given an equation as, g1 = (0.0783*(x*h0**2)**(-0.238)) / (1 + 39.5*(x*h0**2)**(0.763)) ...
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### How to do backward error analysis of $Ax=b$?

I know the definition of forward error, backward error and condition number. The following is a backward error analysis I think. Let $A$ be a square matrix of order $n$ and $\hat{x}$ be a approximate ...
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### Mathematica code for soliton structure [closed]

I need to plot the solution of KdV equation in Mathematica. Anyone expert here? [Lambda] = Sqrt[2 (1 + [Beta][Mu])/([Alpha](q + 1))] [Alpha] = 0.1 [Beta] = 0.4 q = 2 [Mu] = 1 u = 0.1 A = B*(3*(4 - 4*[...
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### Approximating $\sum_{p\in\Bbb P} \frac1{p\ln p}$

It's known that the sum $$\sum_{p\in\Bbb P} \frac1{p\ln p} \approx 1.6366$$ converges approximately to the indicated value, see here for example. How is this approximation calculated? The series ...
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