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← ScienceWhich error increases when approximating complex aerodynamic shapes numerically using higher order polynomial basis functions?
A)Round-off error gets significantly magnified✓
B)Computational cost accelerates exponentially
C)Memory bandwidth becomes severely limited
D)Parallel processing efficiency is diminished
💡 Explanation
Round-off error is magnified by Runge's phenomenon; this states that with higher degree polynomials, oscillations near the edges lead to divergence, because error accumulates rather than diminishes as it would with optimized functions or different interpolation.
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