lect_2 - Introduction to Numerical Analysis for Engineers...

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Numerical Methods for Engineers 13.002 Lecture 2 Introduction to Numerical Analysis for Engineers • Fundamentals of Digital Computing – Digital Computer Models – Convergence, accuracy and stability – Number representation – Arithmetic operations – Recursion algorithms • Error Analysis – Error propagation – numerical stability – Error estimation – Error cancellation – Condition numbers
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Numerical Methods for Engineers 13.002 Lecture 2 m Mantissa b Base e Exponent Floating Number Representation Examples Convention Decimal Binary Decimal Binary General Max mantissa Min mantissa Max exponent Min exponent
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Numerical Methods for Engineers 13.002 Lecture 2 Error Analysis Number Representation Absolute Error Relative Error Addition and Subtraction Multiplication and Division Relative Error Unbounded Absolute Error Bounded Relative Error Shift mantissa of largest number Result has exponent of largest number
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Numerical Methods for Engineers 13.002 Lecture 2 Error Propagation Spherical Bessel Functions Differential Equation Solutions
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lect_2 - Introduction to Numerical Analysis for Engineers...

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