Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Kythe P.K., Puri P. — Partial differential equations and Mathematica
Kythe P.K., Puri P. — Partial differential equations and Mathematica

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Partial differential equations and Mathematica

Авторы: Kythe P.K., Puri P.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 199

Добавлена в каталог: 17.02.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
$L^{2}$ space      145
Adaptive grid      321
Auxiliary system      23 28 31 40 325
Ball, open      217
Ball, open, surface area of      218
Ball, open, surface of      217
Base characteristic      24ff 28
Beam      157
Bessel functions      82 106
Binomial theorem      180
Biot number      148
Boundary conditions of first kind      3
Boundary conditions of second kind      3
Boundary conditions of third kind      3
Boundary conditions, Dirichlet      3 105 108 132 150 159 250 280 302 339 344 348
Boundary conditions, essential      276
Boundary conditions, mixed      3 250
Boundary conditions, natural      250
Boundary conditions, Neumann      3 105 250 347
Boundary conditions, nonhomogeneous      146ff
Boundary conditions, periodic      104
Boundary conditions, Robin      3
Boundary perturbations      31ff
Bounded variation      98ff
Calculus of variations      266
Cauchy data      56 237
Cauchy integral formula      183
Cauchy problem      39 55 235 237
Cauchy residue theorem      180
Cauchy — Kowalewsky theorem      55
Cauchy — Riemann operator      259
Cauchy's theorem      187
Characteristics      5 24ff 47ff 51 325
Characteristics, base      24ff 28
Characteristics, Cauchy's method of      39ff
Characteristics, curves      49
Circular drum      142
Class $C^{p}(\Omega)$      218
Class $C^{\infty}(\Omega)$      218
Class $C^{\infty}_{0}(R^{n})$      218 221
Classification      4ff
Complement      218
Cone, normal      47
Cone, normal, Monge      47 48
Cone, normal, tangent      47 48
Contour integration      183ff 189 198
Convolution theorem      197 204 215
Cooling ball      144 153
Coordinates, characteristic      118
Coordinates, cylindrical      142
Coupling constant      8
d'Alembert's solution      76 96 97 122 213
De Moivre's theorem      70
Difference equation, consistent      328
Difference operator      328
Difference scheme, central      343
Difference scheme, Crank — Nicolson      332 334 335 344
Difference scheme, explicit      332 334
Difference scheme, implicit      332 334
Difference scheme, stability of      329
Differences, finite      321ff
Differences, finite, backward      323ff 332
Differences, finite, first order      322
Differences, finite, forward      323ff 330 331 332 334 336 344
Differences, finite, second order      323ff 330 335 336 339
Differential form      277
Differential operator, linear      68
Dirac distribution      220ff 232
Dirichlet — Dirichlet case      283
Discontinuity      53 90
distribution      220
Distribution, regular      220
Distribution, singular      220 221
Divergence theorem      14
Duhamel's principle      203
Eigenfunction expansion      82 103ff
Eigenfunctions      104 108
Eigenpair      104
Eigenvalue problem      117
Eigenvalues      104 148ff 155
Electrostatic potential      239
Electrostatics      8
Element, integral      47
Element, plane      47
Element, tangent      47
Envelope      39
Equation(s), 4th order      287
Equation(s), Berger's      8
Equation(s), Bessel's      106 241 286
Equation(s), biharmonic      9
Equation(s), characteristic      5 23ff 40 315
Equation(s), cubic Schroedinger      8
Equation(s), difference      328 339 343 348 349
Equation(s), diffusion      204 332
Equation(s), dissipative Klein — Gordon      8
Equation(s), dissipative sine-Gordon      9
Equation(s), eikonal      8
Equation(s), elliptic      4 6 50 132ff 238ff
Equation(s), Euler — Lagrange      269
Equation(s), Euler's      9 274 282 296
Equation(s), first order      22ff
Equation(s), Fokker — Planck      255
Equation(s), heat      7 346
Equation(s), heat conduction      15 16 125ff 177 293
Equation(s), heat transfer      14ff
Equation(s), Helmholtz      8 241ff
Equation(s), hyperbolic      4 6 50 53 118ff 244ff
Equation(s), Klein — Gordon      8
Equation(s), Korte de Vries(KdV)      9
Equation(s), Laplace      7 16 203 211 252 261 339
Equation(s), linear with constant coefficients      22ff 63ff
Equation(s), linear with variable constants      28ff
Equation(s), Maxwell's      9
Equation(s), Navier — Stokes      9 277
Equation(s), nonlinear first order      38ff
Equation(s), parabolic      4 6 50 125ff 231ff
Equation(s), Poisson's      8 159 275 280 283 302 339 342
Equation(s), Porous media      9
Equation(s), quadratic      4
Equation(s), quasi-linear first order      2 17 33ff
Equation(s), quasi-linear second order      49ff
Equation(s), quasi-linear, nonhomogeneous      74ff
Equation(s), Schroedinger      8 255
Equation(s), semilinear heat      8
Equation(s), semilinear Klein — Gordon      8
Equation(s), semilinear Poisson's      9
Equation(s), semilinear wave      8
Equation(s), sine-Gordon      8
Equation(s), Sturm — Liouville      105
Equation(s), telegrapher's      8
Equation(s), traffic      7
Equation(s), transient Fourier      235
Equation(s), transport      7 8
Equation(s), Tricomi      6 20
Equation(s), ultrahyperbolic      6
Equation(s), wave      7 97 180 212 334 346
Error, discretization      329
Error, truncation      328 344 345
Euler's formula      90
Existence      25 27 30
Field point      247
Finite differences      321ff
Flow, porous media      9
Flow, porous media, of viscoelastic fluid      189
Flow, porous media, of viscous fluid      189
Flow, porous media, traffic      16ff
Fourier coefficients      88
Fourier coefficients, cosine series      101
Fourier coefficients, cosine theorem      195
Fourier coefficients, integral theorem      195
Fourier coefficients, sine series      100 102 127
Fourier coefficients, sine theorem      195
Fourier coefficients, theorem I      90
Fourier coefficients, theorem II      100
Fourier transform      195ff
Fourier transform of derivatives      196
Fourier transform, convolution theorem      196
Fourier transform, formula      198ff
Fourier transform, properties of      196
Fourier — Bessel expansion      108ff
Function(s), Bessel      82 106 245
Function(s), characteristic      218
Function(s), Dirac delta      178ff 217 221ff 248 263
Function(s), Hankel      241
Function(s), harmonic      224ff 25Iff
Function(s), Heaviside      54 178
Function(s), indicator      218 220
Function(s), modified Bessel      242
Function(s), monotone      99
Function(s), nondecreasing      99
Function(s), nonincreasing      99
Function(s), orthogonal      52ff
Function(s), periodic      90 97
Function(s), periodic Dirichlet      307
Function(s), test      219 287ff
Functional      219
Functionally independent      29ff
Functionally independent, continuous      220
Functionally independent, linear      219
Fundamental solution      177
General solution      2
Geometric optics      8
Gibbs phenomenon      102
Gravitational potential      221
Green's functions      217ff 230ff 250ff
Green's functions, second identity      257 351
Green's identity      13 225 232 350ff
Green's identity, first identity      227 351
grid      323 349
Harmonic motion      123
Harmonics      103
Heaviside function      54 178ff 220 224
Hilbert space      109 218
Hooke's law      10
Huygens' principle      247ff
Impulsive force      221
Infinite series      82
Initial condition      3 130
Initial curve      26ff 31
Inner product      82
Inner space      218
Integral surfaces      24 30 47
Isocline      46
Jacobian      50 52
Kernel      160
Laplace inversion theorem      183 187
Laplace inversion theorem, transform      161 162ff 179 180 183 189ff 233 236 244 245
Laplacian      108 142 231 238 257
Line integrals      267ff
Lipschitz condition      99
Maclaurin series      254
Mainardi — Codazzi relations      22
Mathematica functions      361ff
Mathematica functions, notebooks and packages list      368
Maximum principle      228ff
Mesh point      323 340
Method of characteristics      22ff
Method of moments      267 296
Method of separation of variables      51 82 103 117ff 235 307 312
Method of undetermined coefficients      78
Method of variation of parameters      78
Method, Cauchy's      39ff
Method, collocation      266 395
Method, Fourier series      150
Method, Galerkin      266 279ff
Method, Gauss elimination      330
Method, inverse operator      63ff
Method, Lagrange's      28
Method, least-square      267 295
Method, perturbation      305ff
Method, Rayleigh — Ritz      266 283ff
Method, weighted residual      266ff
Monge axis      47
Monge axis, cone      47
Monge axis, pencil      47
Multi-index      220
Neighborhood      218
Node      323 347
Norm      218
Notation      1
Operator pair      64
Operator, difference      328
Operator, difference, Laplace      108
Operator, difference, linear      68
Orthogonal eigenfunctions      222
Orthogonal eigenfunctions, expansions      82ff
Orthogonal eigenfunctions, functions      82
Orthogonal eigenfunctions, polynomials      86
Orthogonal eigenfunctions, set      83 88 108
Orthogonality      82ff 88
Orthonormal      83
Orthonormal set      83
Parabolic cylinder      35
Partial derivatives      1
Partial differential equations, elliptic      4 6 19 50
Partial differential equations, homogeneous      2
Partial differential equations, hyperbolic      4 6 19 50
Partial differential equations, linear      2
Partial differential equations, nonhomogeneous      2 4
Partial differential equations, order      1
Partial differential equations, parabolic      4 19 50
Partial differential equations, quasi-linear      2 17 33ff 325ff
Particular integral      65
Particular integral, solution      2 4 75
Particular integral, ultrahyperbolic      6
Perturbation methods      305ff
Point charge      221
Point charge, mass      221
Poisson integral representation      203
Polynomials, Chebyshev 1st kind      86
Polynomials, Chebyshev 2nd kind      86
Polynomials, Hermite      86
Polynomials, Jacobi      86
Polynomials, Laguerre      86
Polynomials, Legendre      86 87
Principal part      49
Quadratic form      6ff
Quantum field theory      8
Quantum field theory, mechanics      8
Quasi-linear equations      2 17
Reciprocity relations      231
Residual      279
Residue      181
Riemann — Lebesgue lemma      107
Rotation of axes      24 60ff
Series of orthogonal functions      88ff
Series, Fourier      90 109 156
Series, generalized Fourier      88
Series, infinite      82
Series, Maclaurin      254
Series, orthogonal      82
Series, Taylor's, truncated      321
Series, trigonometric Fourier      82 89 90ff 111
Shock waves      33
Solution, general      2 29 73
Solution, particular      2 4 75
Source point      230ff 233
Spherical coordinates      144ff
Strip      48
Strip, characteristic      48
1 2
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте