Index[Method]
right elimination, 10
Ritz, 221
Seidel, 676
separation of variables, 406
simple iteration, 664
steepest descent, 734
summator identities, 228
test function, 150
two-step iterative, 653
upper relaxation, 678
Model, 666
Neighborhood of a node, 256
Nodes, 2, 51, 245, 248
adjacent, 52
boundary, 53, 246, 249, 258,
703
inner, 53, 246, 249, 258, 703
irregular, 249, 250
near-boundary, 249, 250
strictly inner, 250
Norm of an operator, 42
Operator:
additive, 42
adjoint, 44
bounded, 42
commuting, 43
homogeneous, 42
inverse, 43
Laplace, 238, 280
linear, 42
resolving, 391
self-adjoint, 44
skew-symmetric, 425
transition, 386, 391
"triangular", 457
Operator-difference scheme, 384
Pattern, 56
"cross," 241
integral, 146
irregular, 67
Pattern functional, 146, 147
Primary family, 146, 156, 398
Problem:761boundary-value, 7, 75, 82, 108,
120, 136, 360
Cauchy, 7, 74, 75
eigenvalue, 106, 108, 278
periodic, 496
stable with respect to the
initial data and right-hand
side, 384
stationary, 507
Stephan, 523
well-posed, 96, 232
Range of an operator, 42
Regular behaviour, 329
Regularization, 454
Regularization principle, 575
Regularizator, 455
Square root of an operator, 45
Stability:
absolute, 389
asymptotic, 329
strong, 232
with respect to coefficients, 232
with respect to the initial data,
389, 403
with respect to the right-hand
side, 389, 411
Temperature wave, 514
Theorem:
comparison, 16, 262
difference embedding, 110, 112,
281
"Through execution" algorithm, 691