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Kythe P.K. — Fundamental Solutions for Differential Operators and Applications
Kythe P.K. — Fundamental Solutions for Differential Operators and Applications

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Название: Fundamental Solutions for Differential Operators and Applications

Автор: Kythe P.K.

Аннотация:

The book offers an accessible and up-to-date survey for advanced students, researchers and scientists in applied mathematics, mathematical physics, engineering and the physical sciences.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1996

Количество страниц: 414

Добавлена в каталог: 09.12.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\delta$-distribution      17 18
Airfoil      188
Algorithms, CHIEF      206
Anisotropic medium      177
Aquifer      198
Bessel functions      201 301 303
Bingham plastic      194
Biomechanics      3
Biot's criterion      325
Black hole      338
Black hole, physics      355 356
Black hole, solutions      338 353
Blood flow      336
Boley's criterion      325
Boltzmann constant      356
Boltzmann constant, superposition principle      192
Boundary conditions, Dirichlet-type      140
Boundary conditions, mixed      141
Boundary conditions, Neumann-type      141
Boundary conditions, Robin-type      141
Boundary element methods (BEMs)      231 234 298 321
Boundary element methods (BEMs), Laplace Transform      249
Boundary integral equations      169 176 232 250 275 279 295 297 300 321 329
Boussinesq approximation      317
Brownian motion      118
Cantilever beam      271
Capacity      90 115
Cardiovascular mechanics      353
Cauchy problem      5 68 100 107 121 218
Cauchy problem, generalized      73 101
Cauchy problem, homogeneous      104
Cauchy problem, p.v. integral      159 161 251 270
Cauchy — Navier equations      140
Cauchy — Navier equations, dynamic      162
Cauchy's theorem      218
Causality principle      163
Charge density      113
Coefficient of self-inductance      115
Complete elliptic integral      151 186
Complex variable BEM      287
Conduction current      115
Cone, characteristic      28
Cone, characteristic, future      96 136
Cone, characteristic, past      97 136
Conoid      5
Constant coefficients      37
Convolution      6 27
Convolution, algebra      28
Cracks      260
Cracks, mode I, II      261
Cracks, tip      261
Current density      113
d'Alembert's formula      100
d'Alembert's formula, solution      133
d'Arcy's law      196 342
Dam, rock-filled      343
Damping coefficient      115
Deformation, in-plane      295
Deformation, in-plane, out-of-plane      295
dielectric constant      112
Differentiation      22
Differentiations, exterior      358
Dipole      20
Dirac distribution      16 23
Dirac's matrices      122
Direct product      25
Discretisation      244
Displacement      91
Distributions      1 9 11 15
Distributions, tempered      26
Domain integrals      240 266 274
Dual reciprocity method (DRM)      267 314
Einstein's field equations      354 358
Einstein's field equations, relation      355
Elastoplasticity      174
Elastostatic BEM      254
Elastostatics, basic equations      138
Elastostatics, basic equations, Cauchy — Navier equations      140
Electrodynamic theory      324
Elliptic integrals      348
Emden's transformation      345
Equation(s), biharmonic      128 183
Equation(s), Buckingham — Reiner      195
Equation(s), Cauchy — Navier      140 272 320
Equation(s), continuity      342
Equation(s), diffusion      126 313
Equation(s), Dirac's      122
Equation(s), dynamic Cauchy — Navier      162
Equation(s), eikonal      126
Equation(s), Einstein — Kolmogorov      118
Equation(s), Einstein — Yang — Mills      338 358
Equation(s), Einstein's      353
Equation(s), Emden — Fowler      338 349
Equation(s), Euler — Poisson — Darboux      106
Equation(s), Fokker — Planck      120
Equation(s), Fourier heat      79
Equation(s), Fourier — Kirchho      277
Equation(s), group diffusion      327 328
Equation(s), Helmholtz      203 271 276
Equation(s), homogeneous biharmonic      131
Equation(s), hyperbolic      4 5
Equation(s), K-dV      133
Equation(s), kinetic      126
Equation(s), Lane — Emden      338 344
Equation(s), Laplace      42 188 198
Equation(s), Liouville's      134
Equation(s), Maxwell      112
Equation(s), Maxwell — Cattaneo      316
Equation(s), Navier — Stokes      180
Equation(s), nonlinear wave      133
Equation(s), of stellar equilibrium      344
Equation(s), Poisson      50 236 358
Equation(s), Prandtl — Glauert      187
Equation(s), scalar and vector wave      165
Equation(s), semilinear elliptic      250
Equation(s), sine — Gordon      134
Equation(s), telegrapher's      115 121
Equation(s), thermoelastic      324
Equation(s), transcendental      326
Equation(s), transient Fourier      241
Equation(s), transport      123
Equation(s), von Karman      292
Equation(s), wave      125
Euclidean distance      11
Euclidean distance, n-space      11
Exterior product      358
External locomotion      332
Fick's law      329
Finite difference schemes      278
Flexural vibrations      172
Flow, aerodynamic      187
Flow, compressible      188
Flow, groundwater      198
Flow, Hagen — Poiseuelle      195
Flow, Newtonian      181 196
Flow, non-Newtonian      191
Flow, partially-filled pipe      194
Flow, Poiseuelle      195
Flow, potential cross      186
Flow, Stokes      184
Flow, subsonic      187 190
Flow, supersonic      187
Flow, transonic      187 190
Fluid-structure interaction      330
Forward matching process      247
Fourier criterion      325
Fourier heat equation      79
Fourier limit theorems      7
Fourier series      7 90 281
Fourier series method (FSM)      280
Fourier theorem      7 8
Fourier transform      38 41 44 61 70 86 128 145 209 224 325
Fourier wave vector      209
Fracture mechanics      259
Fresnel integrals      171
Function(s), $\Delta$      135
Function(s), Airy      327
Function(s), Bessel      47 120
Function(s), biharmonic      332
Function(s), characteristic      11
Function(s), diffusion      119
Function(s), four-component wave      122
Function(s), Fowler's energy      351
Function(s), Hankel      45
Function(s), harmonic      332
Function(s), Heaviside      16 23 33
Function(s), Hermite      93
Function(s), holomorphic      5
Function(s), indicator      11
Function(s), Lane — Emden      347
Function(s), modified Bessel      46
Function(s), stream      182
Function(s), with jumps      24
Function(s), “cap”      17
Fundamental solutions      3 4 29 35 37 57 58 61 63 88 93 108 111 119 122 128 132 136 137 142 146 153 157 163 171 175 177 184 205 216 220 242 268 270 300 309 321 332 339
Fundamental solutions, Mindlin's      146
Galerkin-type approximation      285
Gas index      187
Gauss mean value theorem      51
Gauss quadrature      246 285
Gaussian integral      71
General relativity      353
Generalized Green's identities      296
Goethert's rule      189
Gravitational field      358
Green's first identity      14
Green's formula      144 183
Green's function      3 4 10 11 92 119 208
Green's identity      3 23 130 188
Green's reciprocity theorem      14
Green's second identity      14
Green's theorem      4
Hadamard p.v. integral      161
Half-space geometry      57
Half-space geometry, solutions      46
Hamiltonian      93
Harmonic oscillators      90
Harmonic oscillators, damped      90
Heat conduction in anisotropic media      31
Heat conduction MCF model      316
Heat conduction nonlinear transient      313
Heat conduction, non-Fourier      31
Heat conduction, nonlinear steady      312
Heat potential      6
Heat transfer      321 324
Heaviside function      16 23 33
Hexagonal symmetry      221
Hilbert space      2
Holder's condition      158 315
Homology theorem      349
Hooke's law      140
Hopf's Lemma      54
Hubble Space Telescope      339
Huygens principle      4 109
Induction, electric      112
Induction, magnetic      112
J-integral      262
Jacobian      183
Kelvin's transformation      345
Keynotes      91
Kirchhoff's effective shear forces      294
Kirchhoff's effective shear forces, solution      107
Kirchhoff's effective shear forces, transformation      313
Kutta condition      190
l'Hospital's rule      360
Lame's constants      140 308
Laplace transform BEM      249
Laplacian      12 24 323
Laws of black hole physics      355
Laws of black hole physics, of thermodynamics      356
Level surfaces      124
Local barrier      55
Lorenz condition      114
Loss coefficient      115
Lung mechanics      353
Magnetic permeability      112
Maximum principle for elliptic equations      51
Maximum principle for Laplacian      52
Maximum principle for parabolic operator      75
Maximum principle, strong elliptic      54
Maximum principle, strong parabolic      77
Maximum principle, weak elliptic      53
Maximum principle, weak parabolic      76
Maxwell's equations      112
MCF model      316
Method of descent      63
Method of images      56 81 146
Method, d'Alembert's      104
Method, Frobenius      95
Method, Kelvin's      141
Metric, Kerr      354
Metric, Kerr — Newman      254
Metric, Reissner — Nordstrom      354
Metric, Schwarzschild      354
Metric, spacetime      345
Missbach exponential law      342
Model, MCF      316
Model, Noll      192
Model, Oldroyd      192
Model, Sedov      192
Model, Traesdell      192
Model, Walters      192
Moments      293
Multi-index      11
Multiple reciprocity method (MRM)      274
Navier — Stokes equations      180
Neutron diffusion      327
Newtonian mechanics      353
Normed linear space      360
Number, Cattaneo      318
Number, Grashof      318
Number, Mach      187 190
Number, Prandtl      318
Number, Reynolds      219
Ohm's law      113
Open ball      11
Operator, adjoint      12
Operator, Bernoulli — Euler      170
Operator, biharmonic      129 183 300
Operator, Cauchy — Navier      14
Operator, Cauchy — Riemann      37 48
Operator, D'Alembertian      85
Operator, differential      33
Operator, diffusion      60 72
Operator, Dirac's      122
Operator, dynamic piezoelectric      21
Operator, Einstein — Kolmogorov      117
Operator, elastoplastic      175
Operator, electrodynamic      162
Operator, heat      60
Operator, Helmholtz      37 44
Operator, Klein — Gordon      120
Operator, Laplace      37 41
Operator, Laplacian      12 41 50 58
Operator, linear      12
Operator, linear elliptic      37
Operator, linear parabolic      60
Operator, nonhomogeneous      49
Operator, nonlinear      117
Operator, orthotropic      177
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