Introduction CSE 541.

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Presentation transcript:

Introduction CSE 541

Numerical methods Solving scientific/engineering problems using computers. Root finding, Chapter 3 Polynomial Interpolation, Chapter 4 Differentiation, Chapter 4 Integration, Chapters 5 and 6 Systems of linear equations, Chapters 7 and 8 Pseudo-random numbers and Monte Carlo Integration, Chapter 13

Number Representation and Errors Readings: Sec. 1.1; Chap. 2

1 8 23 bits s e f

Machine numbers Only a finite number of numbers can be exactly represented in a machine. These number are called machine numbers. In a single-precision machine, how many machine numbers are there (not counting special cases)? Other numbers: approximated by closest machine numbers.

1 11 52 bits s e f

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