Lecture Note on the WENO Finite Difference Scheme for Hyperbolic Conservation Laws

This updated version includes new and refined content, several basic computer programs in MATLAB and Fortan, corrections, and improved presentations. To add a touch of enjoyment, we've included a short background and history of the origin and development of the Z-type weights. This lecture note is tailored for students, researchers, and early learners. It aims to provide insight into a crucial aspect of the WENO operator and the related numerical schemes in solving hyperbolic conservation laws. These notes are intended for those who want to understand the basic building blocks of the weighted essentially non-oscillatory finite difference/finite volume scheme and its practical applications for solving hyperbolic conservation laws. Hopefully, you will enjoy it and find it helpful in pursuing your research. Remember to give us a like or recommendation if not a Bitcoin. 8-) We have mouths to feed. 8-)... and motivate us to update the lecture notes with more advanced and exciting state-of-the-art content.