If I use the numerical recipe from above, I can make a very simple program. In this case, I am using the web-based GlowScrip (it's like VPython but you don't have to install anything). Here is the ...

numerical example Liquefaction risk assessment of a saturated soil deposit is presented next to illustrate the proposed Monte Carlo procedure. A loose to medium dense hydraulically placed sand deposit ...

With my numerical method, I only change one number – yes, just one and I get the following plot. Here you can see that a launch angle of 45° does NOT give the maximum range.

There are many optimization algorithms, which can be used to find the extremum of a function. However, in optimizing the function, which is obtained from the numerical calculations, it is necessary to ...

We have developed a fully numerical method for calculating the response of the Hartree–Fock orbitals to an external electric field. The Hartree–Fock orbitals are optimized using Green’s function ...