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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Question

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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