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There are many existing texts aimed at introducing engineers to the use of numerical methods.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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repeated trapezium rule, dominant error term, simple integer counters, mathematical subroutine library, polynomial substitution, corrector formula, variable length arrays, rectangle rule, difference formulae, upper triangular factors, hand side vector, midpoint rule, interpolating polynomial, cubic spline functions, iteration limit, sampling points, finite difference form, weighting coefficients, convergence tolerance, solution domain
Key Phrases - Capitalized Phrases (CAPs):
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New York, Englewood Cliffs, New Jersey, Rework Exercise, Academic Press, Clarendon Press, Attempt Exercise, Oxford University Press, Numerical Linear Algebra, Practical Guide, Programming the Finite Element Method
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