Front Cover.
Numerical Analysis Using R
Solutions to ODEs and PDEs
 Graham W. Griffiths
(Cambridge University Press, ISBN: 978-1-107-11561-3)
 

Some PDE solution animation examples,
click on image to run
Advection 2D - A cone representing a passive scalar is advected in a steady velocity field, which corresponds to solid body rotation. Advection 2D - A square block representing a passive scalar is advected in a steady velocity field, corresponding to solid body rotation. Heat diffusion 2D - Part of a square metal sheet, in the shape of the letter R, is initially raised from 0 to 100oC, and then allowed to cool.
Poison 2D - Rotating solution of a problem defined on the circular domain (r,θ ) = [0, 1] × [0, 2π] with Dirichlet boundary conditions Wave 2D - Cartesian coordinates. A Gaussian shaped disturbance is applied to a surface, initially at rest. This forms a 2-dimensional wave. Wave 2D - Polar coordinates. A Gaussian shaped disturbance is applied to a surface, initially at rest. This forms a 2-dimensional wave.
Frontogenesis - Simulation showing the formation of a vortex at the meeting of cold and warm fronts. Golf ball flight - Simulation of the trajectory of a golf ball after being struck by a top golf professional using a driver.