Introduction
This is an excellent introduction into
numerical methods for integrating conservation laws. The book
begins with an introduction to the mathematics theory of one
dimensional hyperbolic equations that must be understood by anyone
attempting to solve problems of this type. The book discuss
classical methods for their numerical solution (such as the
Lax-Wendroff method) and existing properties of such methods in
resolving discontinuous flow patterns. If you desire the
numerical solution to conservation laws or hyperbolic equations in
general you must read this book.
Solutions & Notes:
I am in the process of transcribing
my notes from this book into a solutions manual. You can find my
first attempts and my scanned in handwritten notes below.