Cubic Spline Interpolation Method for Calculating Y-Values in C

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SUMMARY

The discussion focuses on implementing the cubic spline interpolation method in C to calculate y-values for given x-values (2.5, 5.7, and 9.75) based on a dataset of 10 points. The cubic spline interpolation is defined as a numerical method used to find trends in data, akin to a regressive equation. A recommended resource for understanding this method is "Numerical Analysis" by Richard L. Burden and J. Douglas Faires, specifically the 8th edition, which provides a pseudo-code algorithm for implementation. The importance of attempting a solution before seeking help is emphasized, indicating a foundational understanding of the method is crucial.

PREREQUISITES
  • Cubic spline interpolation concepts
  • Basic C programming skills
  • Understanding of numerical methods
  • Familiarity with data trends and regression analysis
NEXT STEPS
  • Study the cubic spline interpolation algorithm in "Numerical Analysis" by Richard L. Burden and J. Douglas Faires
  • Implement a cubic spline interpolation function in C
  • Research additional numerical methods for data interpolation
  • Explore libraries in C that facilitate numerical analysis
USEFUL FOR

This discussion is beneficial for C programmers, numerical analysts, and students studying numerical methods who seek to implement cubic spline interpolation for data analysis and trend estimation.

theerapol
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There is a 10 points data set:

x: 1 2 3 4 5 6 7 8 9 10
y: 1 8 27 64 125 216 343 512 729 1000

calculate the y-value at x=2.5, 5.7 and 9.75 by using cubic spline interpolation method

(in C language)
 
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Okay, as a start what is the "cubic spline interpolation method"?

For that matter, what is a "cubic spline"?
 
Cubic spline interpolation is one of numerical method to find trend of data (like regressive equation). For cubic spline interpolation, I don't know how to solve this problem in c language when we have 10 data points.
 
Numerical Analysis by Richard L. Burden and J. Douglas Faires gives a pseudo-code algorithm on how to program such a problem. If you don't know how to do it for 10 data points than you don't know how to do it for any amount of data points. Since you haven't posted an attempted solution I suggest searching the web on what exactly cubic spline interpolation is. Or reading that section of the textbook I suggested in a library or a bookstore.

[Edit] The book edition I have is edition 8.
 
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