Advanced Study Cases for Numerical Analysis

A course on Numerical Methods typically covers introductory topics in numerical analysis for students of engineering, science, mathematics, and computer science who have completed elementary calculus, linear algebra and matrix theory. The course is usually limited to exploring basic algorithms for solving traditional simple problems in sciences and engineering [1]. As a result, the students have become inadequately prepared to construct and explore more sophisticated algorithms of modern technological challenges. To reduce this gap, the author has offered a series of study cases, which provide concrete examples of the ways numerical methods lead to solutions of some scientific problems. The similar approach was promoted in [2].