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Samarskii A.A. - The Theory of Difference Schemes :: Электронная библиотека попечительского совета мехмата МГУ
 
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Samarskii A.A. - The Theory of Difference Schemes
Samarskii A.A. - The Theory of Difference Schemes

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Название: The Theory of Difference Schemes

Автор: Samarskii A.A.

Аннотация:

The Theory of Difference Schemes emphasizes solutions to boundary value problems through multiple difference schemes. It addresses the construction of approximate numerical methods and computer algorithms for solving mathematical physics problems. The book also develops mathematical models for obtaining desired solutions in minimal time using direct or iterative difference equations. Mathematical Reviews said it is "well-written [and] an excellent book, with a wealth of mathematical material and techniques."


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 786

Добавлена в каталог: 28.11.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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, $\rho$-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