This chapter deals with the most encountered errors in numerical analysis, that is, enter data errors, approximation errors, round-off errors, and propagation of errors. Propagation of errors during ...

Numerical analysis is the branch of mathematics devoted to the study of algorithms for the approximate solution of problems that often have no closed‐form answer. At its core, numerical analysis seeks ...

Formally, a floating point representation is characterized by four parameters: base $\beta$, which is a positive integer, precision $t$, which is the number of digits ...

Abstract: Based on Smale's machines over the reals [9], we will formalize approximate computing in numerical analysis. Classical numerical computing generate and ...

A. Introduction to Julia (PDF): we introduce the basic features of the Julia language. B. Asymptotics and Computational Cost (PDF): we review Big-O, little-o and asymptotic to notation, and their ...

Due to the chaotic nature of the atmosphere, weather forecasts, even with ever improving numerical weather prediction models, eventually lose all skill. Meteorologists have a strong desire to better ...