# Questions tagged [numerics]

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### Runge Kutta (RK4) to solve coupled harmonic oscillators [duplicate]

I have the same problem as in this question. But can someone elaborate on the answer? The poster says that: Solving this system of 4 ODE's with rk4 will solve for all your state variables ...
319 views

### Trying to plot 1D wave equation for benchmarking

I am trying to plot a reference solution for the 1D wave equation using python. The above link states the following: For a rod fixed at the right end and free at the left end and subjected to a ...
404 views

### Difference in performance of preconditioned GMRES and MINRES

I have two matrices $A, B$ coming from a finite element discretization of a system of partial differential equations. $A$ represents the system matrix and is symmetric and indefinite. $B$ is symmetric ...
592 views

### How can this multidimensional integral be efficiently implemented in python using Gauss-Hermite quadrature

I'm playing around with dynamic programming and need to calculate a multidimensional integral $E[V(W)]$ where we assume $W$ has a log normal distribution. I was looking at the following example in ...
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### How to deal with big numbers in intermediate calculations?

I have a rather long expression (https://pastebin.com/jUsxdCCs) that is an analytical solution of a set of differential equations generated symbolically from Maple. I need to solve a set of equations ...