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Samarskii A.A. - The Theory of Difference Schemes |
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Предметный указатель |
"Through execution" algorithm 691
A priori estimate 97 203 420 448
Approximation, difference 56
Approximation, difference of order m 56 69 73
Approximation, exact 74
Approximation, summarized (summed) 691
Cauchy - Bunyakovskii inequality 101
Condition, -stability 411
Condition, Courant 376
Condition, first boundary 8
Condition, norm concordance 56
Condition, periodicity 179
Condition, second boundary 8
Condition, third boundary 8
Difference analog of the second Green formula 101
Difference derivative, central 57
Difference derivative, left 57
Difference derivative, right 57
Difference problem, Dirichlet 252
Difference problem, ill-posed 127
Difference problem, well-posed 96
Difference scheme 74 78 126
Difference scheme with increased accuracy 347
Difference scheme with increased accuracy, symmetric 303
Difference scheme with variable operators 347
Difference scheme with variable operators, well-posed 388
Difference scheme, "rhombus" 324
Difference scheme, additive 598 618
Difference scheme, alternating direction 547
Difference scheme, best 168 169
Difference scheme, co-equivalent 231
Difference scheme, co-stable 230
Difference scheme, conservative 150
Difference scheme, Crank - Nicolson 303
Difference scheme, disbalanced 150
Difference scheme, Du-Fort - Frankel 324
Difference scheme, Duglas - Rachford 629
Difference scheme, economical 349 619
Difference scheme, explicit 76 302 345 358 386 388
Difference scheme, explicit iteration 657
Difference scheme, factorized 565
Difference scheme, forward 302
Difference scheme, fully conservative 532
Difference scheme, higher-accuracy 207 290
Difference scheme, homogeneous 146 147
Difference scheme, implicit 76 386 388
Difference scheme, implicit iteration 657
Difference scheme, locally one-dimensional 600
Difference scheme, monotone 183
Difference scheme, nonconservative 150
Difference scheme, Peaceman - Rachford 548
Difference scheme, predictor-corrector 522
Difference scheme, purely implicit 302
Difference scheme, Richardson 323
Difference scheme, stable 132 306 429
Difference scheme, stable in every harmonic 309
Difference scheme, stable, asymptotically 329
Difference scheme, stable, conditionally 310
Difference scheme, stable, unconditionally 310 334
Difference scheme, stable, with respect to coefficients 230
Difference scheme, three-layer 86 353 445
Difference scheme, truncated 213
Difference scheme, two-layer 302 386
Difference scheme, weighted 301 346 441
Difference, left 2
Difference, right 2
Domain of operator 42
Eigenvalue of an operator 49
Eigenvector of an operator 49
Energy of an operator 44
Energy, identity 318 399 430
Energy, inequality 319
Equation, difference 2
Equation, difference, first-order linear 4 5
Equation, difference, mth-order linear 3
Equation, difference, second-order linear 4 7
Equation, elliptic |
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