BIB-VERSION:: CS-TR-v2.0
          ID:: STAN//CS-TR-75-481
       ENTRY:: August 23, 1995
ORGANIZATION:: Stanford University, Department of Computer Science
       TITLE:: Hybrid difference methods for the initial boundary-value
               problem for hyperbolic equations.
        TYPE:: Technical Report
      AUTHOR:: Oliger, Joseph E.
        DATE:: February 1975
       PAGES:: 31
    ABSTRACT:: The use of lower order approximations in the neighborhood of
               boundaries coupled with higher order interior approximations
               is examined for the mixed initial boundary-value problem for
               hyperbolic partial differential equations. Uniform error can
               be maintained using smaller grid intervals with the lower
               order approximations near the boundaries. Stability results
               are presented for approximations to the initial
               boundary-value problem for the model equation $u_t$ +
               ${cu}_x$ = O which are fourth order in space and second order
               in time in the interior and second order in both space and
               time near the boundaries. These results are generalized to a
               class of methods of this type for hyperbolic systems.
               Computational results are presented and comparisons are made
               with other methods.
       NOTES:: [Adminitrivia V1/Prg/19950823]
         END:: STAN//CS-TR-75-481