Numerical Methods and Programming

Abstract

Numerous problems cannot be solved using traditional analyt- ical methods; this is why numerical methods have emerged. In many cases, approximating a solution depends on the number of operations to be performed, which presents a challenge to the application of these numerical methods. The emergence of computers and the expansion of computing have greatly facilitated the use of numerical methods, thanks to the development of algorithms implemented on machines with powerful processors. Today, technology continues to advance, constantly bringing new developments across various fields. Scientific research has progressed significantly, enabling the understanding and mod- eling of physical phenomena that were unclear just a few years ago. This progress has been made possible through numerical analysis. In this booklet, we present the numerical methods essential for second-year bachelor’s (LMD) students (Physics/Chemistry) to address many of the challenges they encounter throughout their academic studies. It is worth noting that our approach is based on two essential points: 1. The course content must be simplified. 2. The acquired knowledge is reinforced through simple ex- amples. Finally, I hope that readers will find at least something useful in this booklet.