Problem of Reliability Justification of Computation Error Estimates

Abstract

The problem of reliability justification of errors estimates of results obtained by numerical methods is under consideration. The application possibility conditions of the known methods and their downsides are discussed. A new method is offered including numerical filtration of results, choice of a standard and correctness verification of its choice. This method allows the obtainment and visualization of certain error estimates and justification of result reliability. The numerical solutions obtained by different methods of the Stokes solitary wave problem are shown. Also, the given problem results computed by different authors with help of the known methods are cited. Computations possibility of results with high accuracy and preference of the suggested approach for estimate reliability justification are demonstrated by the sample of this problem.

DOI: 10.5901/mjss.2015.v6n2s4p65