Index
(,)h scalar product
D+, D−, D0
eigenfunctions and eigenvalues
D+D−
L2-norm
L2-scalar product
|| ||h norm
1-periodic function
a priori estimates
accuracy
local
local and global
of the computed computed
Adams methods
Adams-Bashforth methods
Adams-Moulton methods
amplification factor
amplitude
artificial dissipation
fourth order
asymptotic expansion
boundary conditions
1-periodic
Dirichlet
mixed
Neuman homogeneous
boundary locus method
CFL condition
characteristic equation
difference operator
backward
centered
forward
fourth order accurate
Duhamel’s principle
discrete
energy
discrete case
heat equation
one-way wave equation
energy estimate
Euclidean inner product
Euclidean norm
Euler method
explicit
implicit
improved
stability
existence and uniqueness
for ODEs
for semidiscrete problem
extrapolation
fast Fourier transform
direct (FFT)
inverse (IFFT)
forced solution
forcing
Fourier interpolation
Fourier series
ghost points
Gibbs phenomenon
grid
function
point
heat equation
backward
on a strip
semidiscrete
Heun method
illposed
incoming wave
increment function
initial layer
integration by parts
Lax-Wendroff method
leapfrog method
modified
limit layer (discrete)
linearized equation
local error
localization
lower-order terms
matrix norm
subordinate
method of lines
one-step method
one-way wave equation
on a strip
semidiscrete
order of accuracy
outgoing wave
parabolic problem ...
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