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Initial approximations based on approximate methods are refined using much higher levels of theory.
Analytical approximate methods are used.
Even approximate methods can be slow here.
Approximate methods still have a role, in initial design.
Experience in approximate methods is necessary to check computer analyses.
The known book by Krasnosel'skii et al. [5] was devoted to approximate methods for operator equations.
HEK carried out the software work and the solution of equations using analytical approximate methods.
The alternative of using approximate methods also for collisional stellar dynamics is so far untested.
Also, some approximate methods of solution of such integral equations are developed.
Nevertheless, analytical approximate methods to obtain approximate solutions have gained importance in recent years [9].
Both of two modified CBRs mentioned in the above are approximate methods from mathematics.
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