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Computational Error
refers to the discrepancy between the computed value and the true value of a quantity.
Round Off Error
Arises from representing real numbers with finite precision.
Truncation Error
Occurs when approximating infinite processes with finite steps.
Symbolic Error
Arises from approximating exact mathematical expressions by symbolic computation methods.
Round Off Error
Addition/Subtraction of numbers with different precision.
Truncation Error
Approximating integrals using numerical methods such as the Trapezoidal Rule or Simpson's Rule.
Symbolic Computation Error
arise from the inherent limitations of algorithms used to perform symbolic computations.
Scientific Computing
Precision is crucial for accurate simulations and predictions.