BIB-VERSION:: CS-TR-v2.0
          ID:: STAN//NA-M-83-02
       ENTRY:: January 28, 1996
ORGANIZATION:: Stanford University, Department of Computer Science, Numerical
               Analysis Project
       TITLE:: Adaptive mesh refinement for hyperbolic partial differential
               equations
        TYPE:: Manuscript
      AUTHOR:: Berger, Marsha J.
      AUTHOR:: Oliger, Joseph E.
        DATE:: March 1983
       PAGES:: 60
    ABSTRACT:: We present an adaptive method based on the idea of multiple,
               component grids for the solution of hyperbolic partial
               differential equations using finite difference techniques.
               Based upon Richardson-type estimates of the truncation error,
               refined grids are created or existing ones removed to attain
               a given accuracy for a minimum amount of work. Our approach
               is recursive in that fine grids can themselves contain even
               finer grids. The grids with finer mesh width in space also
               have a smaller mesh width in time, making this a mesh
               refinement algorithm in time and space. We present the
               algorithm, data structures and grid generation procedure, and
               conclude with numerical examples in one and two space
               dimensions.
       NOTES:: [Adminitrivia V1/Prg/19960128]
         END:: STAN//NA-M-83-02