Index
(}nx (averaging operator), 119
d nx (finite-difference operator), 37,
439
A-stable finite-difference schemes,
141.142
absolute stability, 139-143
accelerating time difference, 49
Adams-Bashforth
time-differencing
higher-order, 65-71, 338
second-order, 57, 59-60
for semi-Lagrangian schemes,
314-318
Adams-Moulton methods, 67
advection equation
defined. 12
for nonuniform flow, 147-154
serni -discrete finite-difference
approximation to, 72-80
two-dimensional
for nondivergent ftow,
154-158
phase-speed error in
finite-difference
approximations to,
120-122
stability of finite-difference
approximations to,
117-120.122
advection-diffusion equation,
138-144
advection-source-sink equation,
144-147
advective form, 157.241-243,297
aliasing error
defined. 148, 149
and numerical instability,
149-152, 154, 166
in the pseudospectral method,
192-195
and the spectral transform
method.186-188 .
205-207
in the variable wind-speed
advection equation, 149