A Compendium of Partial Differential Equation Models presents numerical methods and associated computer codes in Matlab for the solution of a spectrum of models expressed as partial differential equations (PDEs), one of the mostly widely used forms of mathematics in science and engineering. The authors focus on the method of lines (MOL), a well-established numerical procedure for all major classes of PDEs in which the boundary value partial derivatives are approximated algebraically by finite differences. This reduces the PDEs to ordinary differential equations (ODEs) and thus makes the...

Practical numerical methods for solving differential equations are illustrated in the increasingly popular open source language R.

The increasing concentration of atmospheric CO₂ is now a problem of global concern. Although the consequences of atmospheric CO₂ are still evolving, there is compelling evidence that the global environmental system is undergoing profound changes as seen in the recent spike of phenomena: extreme heat waves, droughts, wildfires, melting glaciers, and rising sea levels. These global problems directly resulting from elevated atmospheric CO₂, will last for the foreseeable future, and will ultimately affect everyone.The CO₂ problem is generally not well...