lect_1 - Introduction to Numerical Analysis for Engineers...

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Numerical Methods for Engineers 13.002 Lecture 1 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 1 Digital Computer Models x w(x,t) x w(x,t) n n x n m Continuous Model Discrete Model Differential Equation Difference Equation System of Equations Linear System of Equations Eigenvalue Problems Non-trivial Solutions Root finding Differentiation Integration Solving linear equations Accuracy and Stability => Convergence
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Numerical Methods for Engineers 13.002 Lecture 1 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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This note was uploaded on 09/13/2008 for the course CHE 348 taught by Professor Chelikowsky during the Spring '08 term at University of Texas.

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lect_1 - Introduction to Numerical Analysis for Engineers...

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