On the accuracy in the numerical solution of theN-body problem
Copyright policy )On the accuracy in the numerical solution of theN-body problem
There exist several widely used methods that give a qualitative estimation of the accuracy of the results in the numerical solution of theN-body problem. The ‘reverse’ and ‘closure’ tests are examined here critically. The author has developed a method for the estimation of global errors propagated in the numerical solution of ordinary and partial differential equations that has proven to be rather efficient in numerous cases (see P. E. Zadunaisky [17]). Applications of the method to several cases of theN-body problem are presently made and the advantages and limitations of the method are shown in a set of examples.
numerical solution of the N-body problem, accuracy of the results, Numerical methods for initial value problems involving ordinary differential equations, \(n\)-body problems, reverse and closure tests
numerical solution of the N-body problem, accuracy of the results, Numerical methods for initial value problems involving ordinary differential equations, \(n\)-body problems, reverse and closure tests
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