"I wrote this text for a one semester course at the sophomore-junior level. Our experience with
students taking our junior physics courses is that even if they've had th...
An object-oriented (OO) framework for Partial tial Equations (PDEs) provides software abstractions for numerical simulation of PDEs. The design of such frameworks is not trivial, a...
Magne Haveraaen, Hans Z. Munthe-Kaas, Krister &Ari...
A wildfire model is formulated based on balance equations for energy and fuel, where the fuel loss due to combustion corresponds to the fuel reaction rate. The resulting coupled p...
Jan Mandel, Lynn S. Bennethum, Jonathan D. Beezley...
We variationally derive a thermodynamically consistent model for surface evolution under the influence of free adatoms. The resulting system of nonlinear partial differential equat...
Multilevel methods are popular for the solution of well-posed problems, such as certain boundary value problems for partial differential equations and Fredholm integral equations ...