BIB-VERSION:: CS-TR-v2.0
          ID:: STAN//NA-M-81-16
       ENTRY:: January 28, 1996
ORGANIZATION:: Stanford University, Department of Computer Science, Numerical
               Analysis Project
       TITLE:: Numerical methods based on additive splittings for hyperbolic
               partial differential equations
        TYPE:: Manuscript
      AUTHOR:: LeVeque, Randall J.
      AUTHOR:: Oliger, Joseph E.
        DATE:: October 1981
       PAGES:: 32
    ABSTRACT:: We derive and analyze several methods for systems of
               hyperbolic equations with wide ranges of signal speeds. These
               techniques are also useful for problems whose coefficients
               have large mean values about which they oscillate with small
               amplitude. Our methods are based on additive splittings of
               the operators into components that can be approximated
               independently on the different time scales, some of which are
               sometimes treated exactly. The efficiency of the splitting
               methods is seen to depend on the error incurred in splitting
               the exact solution operator. This is analyzed and a technique
               is discussed for reducing this error through a simple change
               of variables. A procedure for generating the appropriate
               boundary data for the intermediate solutions is also
               presented.
       NOTES:: [Adminitrivia V1/Prg/19960128]
         END:: STAN//NA-M-81-16