History and Applications of Numerical Methods

This lecture covers the history of numerical methods, starting from their development 50 years ago and their rapid evolution today, including Moore's Law and the growth of computer power. It also explores the applications of numerical modeling in bioengineering, such as molecular modeling, bioinformatics, and the design of artificial organs. The lecture delves into the use of numerical techniques in orthopedics, cardiovascular research, and medical companies for conception, development, and risk analysis. Additionally, it discusses multi-scale modeling, modeling techniques in solid mechanics, fluid mechanics, heat, chemicals, and electromagnetism. The presentation concludes with the advantages of numerical methods in reducing development time, costs, and risks, as well as their role in testing hypotheses and understanding complex systems.