Thus, this is an example of using the method of matched asymptotic expansions to satisfy the given initial condition by the long-distance approximation of the solution to a nonsingular partial ...

Specifically, the latter system is decoupled into two subsystems, also initial value problems, one of them defined in the orbit space associated with the reduction and the other linear in its ...

To solve an equation using iteration, start with an initial value and substitute this into the iteration formula to obtain a new value, then use the new value for the next substitution, and so on.