4. A slightly easier spline interpolation is the so-called quadratic spline. Interpolation is carried out by piecewise quadratics. • What are the suitable joint conditions for quadratic spline? • Show how the coefficients of this spline are obtained. • What are the suitable end conditions? • Compare the required computational efforts for quadratic and cubic spline. 1 • Write a Python code for interpolating the Runge function f(x) at equi-spaced nodes using a quadratic spline. 1+ 25x²
4. A slightly easier spline interpolation is the so-called quadratic spline. Interpolation is carried out by piecewise quadratics. • What are the suitable joint conditions for quadratic spline? • Show how the coefficients of this spline are obtained. • What are the suitable end conditions? • Compare the required computational efforts for quadratic and cubic spline. 1 • Write a Python code for interpolating the Runge function f(x) at equi-spaced nodes using a quadratic spline. 1+ 25x²
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:4. A slightly easier spline interpolation is the so-called quadratic spline. Interpolation is carried out by piecewise quadratics.
What are the suitable joint conditions for quadratic spline?
Show how the coefficients of this spline are obtained.
• What are the suitable end conditions?
• Compare the required computational efforts for quadratic and cubic spline.
1
• Write a Python code for interpolating the Runge function f(x):
at equi-spaced nodes using a quadratic spline.
1+25x²
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