Numerical Methods نس ...

Chapter 1 Basics of Numerical Analysis and Scientific Computing

1.1.       Motivations. 

1.2.       Floating-Point Arithmetic and Rounding Errors. 

             1.2.1       Representation of Numbers in Machine. 

             1.2.2       Rounding Errors. 

1.3.       Stability and Error Analysis of Numerical Methods and Problem Conditioning.

             1.3.1       Algorithm Selection. 

             1.3.2       Refinement and Adaptation.