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Simulation and Nonlinear Dynamics         213

          7.  Lord  Rayleigh,  “Investigation  of  the  character  of  the  equilibrium  of  an
              incompressible  heavy fluid of  variable density” Proc. London Math.  SOC.
              141170-7,  1883.
           8.  WH Reid  and DL Harris,  “Some further results  on the  Benard  problem”,
              Phys. Fluids 1:102-110, 1958.
           9.  SH Davis,  “Convection in  a  box:  linear  theory” J.  Fluid  Mech.  30:465-
             478, 1967.
          10.  LN  Trefethen,  AE  Trefethen,  SC  Reddy,  TA  Driscoll  (1993),
              “Hydrodynamic stability without eigenvalues,” Science 261 578-583.
          11.  S Hill, “Channelling in packed columns”, Chem. Eng. Sci. 1:247, 1952.
          12.  GM Homsy, “Viscous Fingering in Porous Media”, Ann. Rev. Fluid Mech.
              19:271, 1987.
          13.  CT Tan and  GM  Homsy,  “Stability  of  miscible  displacements  in porous
              media: Rectilinear Flow”, Phys. Fluids, 29:3549,1986.
          14.  CT Tan  and  GM Homsy,  “Simulation  of  nonlinear  viscous  fingering  in
              miscible displacement” Phys. Fluids 30: 1239, 1987.
          15.  WB Zimmerman and GM Homsy, “Nonlinear viscous fingering in miscible
              dispIacement  with anisotropic  dispersion.”  Physics  of Fluids A  3(8)  1859
              (1991).
          16.  MD Smith, YL Joo, RC Armstrong, RA Brown, “Linear stability analysis of
              flow  of  an  Oldroyd-B  fluid  through  a linear  array of  cylinders,”  J. Non-
              Newtonian Fluid Mech. (to appear).
          17.  RT Goodwin  and WR Schowalter,  “Interactions  of  two jets in  a channel:
              solution multiplicity and linear stability.” J. Fluid Mech., 3 1355-82,  1996.
          18.  RE3  Lehoucq, DC Sorensen, C Yang, “ARPACK Users Guide: Solution of
              large  scale  eigenvalue  problems  by  implicitly  restarted  Arnoldi  methods,
              ftp://ftp  .caam.rice.edu/pub/software/ARPACK
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