Automated differential equation solver based on the parametric approximation optimization. (arXiv:2205.05383v1 [math.NA])

The numerical methods for differential equation solution allow obtaining a
discrete field that converges towards the solution if the method is applied to
the correct problem. Nevertheless, the numerical methods have the restricted
class of the equations, on which the convergence with a given parameter set or
range is proved. Only a few "cheap and dirty" numerical methods converge on a
wide class of equations without parameter tuning with the lower approximation
order price. The article presents a method that …

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