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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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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
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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