Index
Approximation:
difference, 56
difference of order m, 56, 69, 73
exact, 74
summarized (summed), 691
A priori estimate, 97, 203, 420, 448
Cauchy-Bunyakovskii inequality,
101
Condition:
Courant, 376
first boundary, 8
norm concordance, 56
periodicity, 1 79
second boundary, 8
third boundary, 8
p-stability, 411
Difference:
left, 2
right, 2
Difference analog of the second
Green formula, 101
Difference derivative:
central, 57
left, 57
right, 57
Difference problem:
Dirichlet, 252
759ill-posed, 127
well-posed, 96
Difference scheme, 7 4, 78, 126
additive, 598, 618
alternating direction, 547
best, 168, 169
conservative, 150
co-equivalent, 231
co-stable, 230
Crank-Nicolson, 303
disbalanced, 150
Du-Fort-Frankel, 324
Duglas-Rachford, 629
economical, 349, 619
explicit, 76, 302, 345, 358, 386
388
explicit iteration, 657
factorized, 565
forward, 302
fully conservative, 532
higher-accuracy, 207, 290
homogeneous, 146, 147
implicit, 76, 386, 388
implicit iteration, 657
locally one-dimensional, 600
monotone, 183
nonconservative, 150