inaccuracy at large /),.t,
343-345
for serni-Lagrangian schemes,
304,314-315,321-324
tridiagonal solvers
periodic,44l-442
standard, 440-441
truncation error
of a finite difference, 36
of a finite-difference method,
39
global,50
and the modified equation,
80-82
one-step (local) , 50
TVD, see total variation
diminishing
two-time-step method
with complete operator
splitting, 359-364
with partial operator splitting,
365-371
upstream differencing, 279,
294-296
and the serni-Lagrangian
method,306-308
Index
465
discrete dispersion relation for,
93-94
flux-forrn,26l
modified equation for, 94
order of accuracy , 38-39
stability of, 41-42, 44--45
in two-dimensions, 122-125
velocity potential, 208
von Neumann 's method, 43, 45
for systems of equations,
108-110
Warming and Beam method, 99,
104,267
wave number, 72
wave-absorbing layers , 431-435
wave-like flow, 2
wave-permeable boundary
condition, see radiation
boundary condition
weak solution, 244-245
entropy consistent, 246-249
well-posed problem, 31, 169,
397-400,432-435