Published:
I often download and read scientific journal articles on my Kobo eReader.
Unfortunately, the metadata in the PDFs for such journal articles may lack title
information. This means that the searchable title that appears for the article
once loaded onto the eReader is something very ugly like an uninterpretable
string of digits. An easy way to fix this is using the open-source tool pdftk.
Published:
In this article, some extra mathematical details related to the solution of the steady-state reaction-diffusion equation using PETSc are discussed. First, the simple nonlinear governing equation of interest is shown. Then, Newton’s method is presented at the partial differential equation (PDE) level for generality rather than being presented at the algebraic level. Subsequently, the spatial discretization via the finite difference method is shown for completeness. Finally, a commented PETSc implementation of the discretized reaction-diffusion equation is shown to concretely illustrate how the mathematical notation maps to code.