Math Problem Statement
What is the error in Newtown backward interpolation formula
Solution
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Math Problem Analysis
Mathematical Concepts
Interpolation
Backward Differences
Numerical Methods
Error Analysis
Formulas
Newton backward interpolation formula: f(x) = f(x_n) + p Δ f(x_n) + [p(p+1)/2!] Δ² f(x_n) + ...
p = (x - x_n) / h, where h is the uniform spacing between data points
Theorems
Newton's Interpolation Theorem
Error Propagation in Numerical Methods
Suitable Grade Level
University Level (Numerical Analysis, Applied Mathematics)
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