760
[Difference scheme]
Peaceman-Rachford, 548
predictor-corrector, 522
purely implicit, 302
Richardson, 323
"rhombus", 324
r-layer
stable, 132, 306, 429
asymptotically, 329
conditionally, 310
in every harmonic, 309
unconditionally, 310, 334
with respect to coefficients,
230
with increased accuracy, 34 7
symmetric, 303
three-layer, 86, 353, 445
truncated, 213
two-layer, 302, 386
with variable operators, 34 7
well-posed, 388
weighted, 301, 346, 441
Domain of operator, 42
Eigenvalue of an operator, 49
Eigenvector of an operator, 49
Energy:
identity, 318, 399, 430
inequality, 319
Energy of an operator, 44
Error of the difference approxi-
mation, 57, 69, 159
Equation:
difference, 2
first-order linear, 4, 5
mth-order linear, 3
second-order linear, 4, 7
elliptic, 237
heat conduction, 300
hyperbolic, 84
operator, 140
Poisson, 237, 290
quasilinear, 300
Schrodinger, 349
stationary, 187
time-dependent, 299
transfer, 354
vibrations, 364
Formulae:Index"difference differentiation" by
parts, 29
first Green, 32
second Green, 32
Function:
difference Green, 199
grid, 2, 51
pattern, 208
Grid, 2, 51, 246, 248
connected, 250, 259
equidistant, 51
non-equidistant, 52, 67
rectangular, 246
square, 246
Grid step, 51
Harmonic, 308
Input data, 87
Iterations, 653
Kronecker's delta, 201
Lattice, 2
Layer, 302
Lipschitz continuity of an operator,
420
Majorant, 16, 262
Maximum principle, 15, 20, 260
Method:
alternating direction, 711
alternative-triangle, 684
Bubnov-Galerkin, 221
counter elimination, 13
cyclic elimination, 37
decomposition, 645
energy inequality, 113, 316,
374
factorization, 39
integro-interpolation, 150, 215
left elimination, 13
matrix elimination, 651
minimal correction, 733
minimal residual, 733
Newton, 517
n-layer composite of period m,
618
one-step iterative, 653