Adaptive Computational Methods for Partial Differential Equations

U.S. Army Research Office workshop held in College Park, Maryland, February 1983.

Adaptive computational methods are widely used for solving initial value problems for ordinary differential equations, and good general purpose software is available. The situation related to partial differential equations is very different and much less developed, because the area of partial differential equations and their applications is much more complex. If successful, however, adaptive computational methods offer significant promise for solving problems in two and three dimensions arising in fluid and solid mechanics, and combustion, and reactive flow problems.