Interpolation, approximation and differential equations solvers - курсовая работа (Теория) по английскому языку

 

Тезисы:

  • Solving ordinary differential equations I: Nonstiff problems, second edition.
  • J. C. Butcher, Numerical methods for ordinary differential equations, ISBN 0471967580.
  • Unlike interpolation, it does not require the fitted function to intersect each point.
  • So, we see that polynomial interpolation solves all the problems of linear interpolation.
  • However, polynomial interpolation also has some disadvantages.
  • Furthermore, polynomial interpolation may not be so exact after all, especially at the end points.
  • These disadvantages can be avoided by using spline interpolation.
  • Table 1. Results of interpolation by different methods in the given points.
  • Table 2. Table of Average deviation between average deviation and interpolation results.
  • Method of least squares interpolation.
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