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Goldber M.A. (ed.) — Numerical Solution of Integral Equations
Goldber M.A. (ed.) — Numerical Solution of Integral Equations



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Название: Numerical Solution of Integral Equations

Автор: Goldber M.A. (ed.)

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1990

Количество страниц: 417

Добавлена в каталог: 28.02.2007

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Patched conics, method of      151—152
Perturbation theory      72
Perturbed Galerkin method, in numerical method in astrodynamics      158—161 164—165
Perturbed Keplerian motion, in numerical method in astrodynamics      155—156
Perturbed projection methods      91—95 287—293
Perturbed projection methods, perturbed Dellwo — Friedman method      95
Perturbed projection methods, perturbed Kantorovich iterate      94
Perturbed projection methods, perturbed Kantorovich method      93—94
Perturbed projection methods, perturbed Sloan iterate      92—93
Picard iteration, in numerical method in astrodynamics      154—155
Piecewise polynomials, Cauchy singular integral equations      272
Piecewise polynomials, iterated collocation for      58—59
Piecewise smooth boundaries, Laplace equation reformulation      8—9
Planing surface problem      363—371
Planing surface problem, generalizations      368—371
Planing surface problem, generalizations, surface tension      369
Planing surface problem, generalizations, two-dimensional flow assumptions      368—369
Planing surface problem, planing equation      364—368
Planing surface problem, planing equation, airfoil equation analogy      365—366
Planing surface problem, planing equation, Cauchy singular integral equation      364—365
Planing surface problem, planing equation, Kutta condition      366
Planing surface problem, planing equation, premature detachment in      368
Poincare — Bertrand formula      312 313 317 322 343
Polynomial approximation methods, Cauchy singular integral equations      258—272
Polynomial approximation methods, Chawla and Kumar’s method      270—272
Polynomial approximation methods, Cohen method      269—270
Polynomial approximation methods, collocation method      263—264
Polynomial approximation methods, Galerkin method      262—263
Polynomial approximation methods, Gaussian quadrature method      264—266
Polynomial approximation methods, Hashmi and Delves method      272
Polynomial approximation methods, Lobatto quadrature      266—268
Polynomial approximation methods, piecewise polynomial methods      272
Polynomial approximation methods, quadrature method      264
Polynomial basis functions, superconvergence      36
Positive definiteness property, Galerkins method and      120—126
Premature detachment, planing surface problem in      368
Probability density function      395
Product quadrature, Cauchy singular integral equations      246—247
Projection methods, collocation methods      110—120
Projection methods, collocation methods, direct analysis of discrete method      113—117
Projection methods, collocation methods, superconvergence for Volterra equations      117—120
Projection methods, convergence analysis of      81—84
Projection methods, definition of projection method      75
Projection methods, Galerkin method      77—80 95—106
Projection methods, Galerkin method, direct analysis with quadrature errors      106—110
Projection methods, Galerkin method, for positive-definite dominant part equations      120—126
Projection methods, perturbed projection methods      91—95
Projection methods, perturbed projection methods, perturbed Dellwo — Friedman method      95
Projection methods, perturbed projection methods, perturbed Kantorovich iterate      94
Projection methods, perturbed projection methods, perturbed Kantorovich method      93—94
Projection methods, perturbed projection methods, perturbed Sloan iterate      92—93
Projection methods, variants of, accelerated projection methods      89—90
Projection methods, variants of, iterated Kantorovich regularization      88—89
Projection methods, variants of, Kantorovich regularization      87—88
Projection methods, variants of, Sloan iterate      84—86
Prolongation operator      27 324
Pseudoanalytic methods, Abel integral equations      386 387—394
Pseudodifferential operators      124
Pseudoinverse      318
Quadrature errors, collocation method with      110—120
Quadrature errors, Galerkin method with      106—110
Quadrature methods, Cauchy singular integral equations, Gaussian quadrature method      233—236
Quadrature methods, Cauchy singular integral equations, Lobatto quadrature      236—241
Quadrature methods, Cauchy singular integral equations, quadrature rules for principle value integrals      230—233
Quasi-linearization      see “Newton — Kantorovich method”
Radon transform      380—381
Restriction operator      27 325
Seismology, Abel integral equations      379—380
Ship hydrodynamics      see “Planing surface problem”
Ship hydrodynamics, hovercraft      364
Singular integral equations, direct methods      328—359
Singular integral equations, direct methods, collocation method      349—356
Singular integral equations, direct methods, discrete Galerkin method      356—359
Singular integral equations, direct methods, Galerkin — Petrov method      342—348
Singular integral equations, indirect methods      323—328
Singular integral equations, indirect methods, collocation method      328
Singular integral equations, indirect methods, Galerkin method      323—328
Singular integral equations, theory for      310—322
Singular value decomposition      330
Sloan iterate      105 115
Sloan iterate, as variant of projection method      84—86
Sloan iterate, convergence      283—284
Sloan iterate, perturbed Sloan iterate      92—93
Smooth boundary case, Laplace equation reformulation      7—8
Smoothing step      27
Sohngen inversion formula      191 192 197
Sokhotski — Plemelj formulas      314
Spectral density function      397
Spectral distribution function      397
Sphere of influence, of planet      151
Stability      334—335
Stabilized evaluation of inversion formulas, Abel integral equations      386—397 400—402
Stereology, Abel integral equations      378 379
Stochastic process, stationary/strictly stationary process      395
Strongly elliptic operators, boundary integral equation reformulations      7 14—15
Superapproximation      37
Superconvergence, Cauchy singular integral equations and      37
Superconvergence, discrete collocation method      64
Superconvergence, discrete Galerkin methods      55
Superconvergence, Galerkin method      36 38—40
Superconvergence, global superconvergence      36
Superconvergence, HMP method      53—55
Superconvergence, iterated collocation method      56—58
Superconvergence, iterated collocation method, for piecewise-polynomial spaces      58—63
Superconvergence, iterated collocation method, versus iterated Galerkin method      63—64
Superconvergence, iterated Galerkin method      51—53 55
Superconvergence, iterated Kantorovich method      45—48
Superconvergence, iterated projection method      40—45
Superconvergence, linear functions of Galerkin approximation      48—51
Superconvergence, nonlinear integral equations      64—66
Superconvergence, of collocation for Volterra equations      117—120
Superconvergence, use of term      35—36
Superconvergence, Volterra integral equations and      37
Taylor expansion      143
Tomography, Abel integral equations      380—381
Tuck method      252—254
Two-body problem      147
Two-grid method, boundary integral equations      26—29
Two-point boundary value problem      see “Numerical method in astrodynamics”
Two-point boundary value problem, computational aspects      133—134
Two-point boundary value problem, equivalence to Hammerstein integral equation      132
Uniform convergence, Galerkin method      281—283
Volterra equations      116
Volterra equations, superconvergence and      37
Voyager 2      152—153
Weiner filtering, Abel integral equations      386 394—400
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