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Koonin S.E., Meredith D.C. — Computational Physics-Fortran Version
Koonin S.E., Meredith D.C. — Computational Physics-Fortran Version

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Название: Computational Physics-Fortran Version

Авторы: Koonin S.E., Meredith D.C.

Аннотация:

Computational Physics is designed to provide direct experience in the computer modeling of physical systems. Its scope includes the essential numerical techniques needed to "do physics" on a computer. Each of these is developed heuristically in the text, with the aid of simple mathematical illustrations. However, the real value of the book is in the eight Examples and Projects, where the reader is guided in applying these techniques to substantial problems in classical, quantum, or statistical mechanics. These problems have been chosen to enrich the standard physics curriculum at the advanced undergraduate or beginning graduate level. The book will also be useful to physicists, engineers, and chemists interested in computer modeling and numerical techniques. Although the user-friendly and fully documented programs are written in FORTRAN, a casual familiarity with any other high-level language, such as BASIC, PASCAL, or C, is sufficient.


Язык: en

Рубрика: Руководства по программному обеспечению/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1998

Количество страниц: 639

Добавлена в каталог: 24.11.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$H^{-}$ ion      83
$H_{2}$ molecule      17 19 221ff
$H_{2}$ molecule, electron correlation      224
$H_{2}$ molecule, electronic eigenvalue      221
$H_{2}$ molecule, molecular potential      230
$H_{2}$ molecule, variational energy      223
$H_{2}$ molecule, variational wave function      224
$O_{2}$ molecule      17
$\delta$-function potential      72
$^{40}Ca$      133
$^{4}He$, liquid      221
40 Eri B      53
6-12 potential      14 222 see
Abscissae, gaussian quadrature      95
Acceleration parameter, elliptic partial differential equations      180
Accuracy monitoring, ordinary differential equations      32
Accuracy, ordinary differential equations      68
Accuracy, partial differential equation      174
Accuracy, quadrature      8 9
action      16
Adams — Bashforth, four-step method      30
Adams — Bashforth, two-step method      29
Adams — Moulton methods      31
Alternating-direction methods, partial differential equation      180
Angle, scattering      20
Annihilation operator      135
Anti-ferromagnetic couplings      220
Anti-ferromagnetism      216
Approximation, Born      96ff 121
Approximation, Born — Oppenheimer      14 221
Approximation, central-field      78
Approximation, eikonal      96ff 99 129
Approximation, filling      78
Approximation, Hartree — Fock      72ff 222
Approximation, linear      109 123
Approximation, self-consistent field      72
Approximation, semiclassical      14 98 139
Approximation, WKB      16
Atomic, nucleus      120
Atomic, orbitals, linear combination      224
Atomic, Structure      72ff
Atoms, low-energy resonances      108
Atoms, multi-electron      72
Auto-correlation, Metropolis algorithm      214 219
Bessel function, cylindrical      67 87
Bessel function, cylindrical, polynomial approximation      87
Bessel function, cylindrical, recursion relation      81ff
Bessel function, spherical      92 104
Binary alloy      215
Bode's rule      9
Born approximation      96ff 121
Born scattering amplitude      98
Born — Oppenheimer approximation      14 221
Bound solutions      14 67
Boundary conditions, Dirichlet      146 169
Boundary conditions, fixed      190
Boundary conditions, mixed      146
Boundary conditions, Neumann      146 150 178
Boundary conditions, no-flux      190
Boundary conditions, no-slip      165
Boundary conditions, periodic      158
Boundary value problems      55ff
Boundary value problems, Green's function solution      61ff
Boundary value problems, round-off error      60
Boundary value problems, shooting method      64 67
Brusselator      189ff
Brusselator, equilibrium values      190
Brusselator, linear stability analysis      191ff
canonical ensemble      216
Canonical transformation      45
Capacitance      157
Central potential      20 38 45 103
Central-field approximation      78
Centrifugal potential      21 104
Chandrasekhar mass      53
Chaotic, dynamics      37ff.
Chaotic, regions of phase space      42
Charge density parameters, uncertainty      125
Chemical reactions      189ff
Chi-square, minimization      123
Classical scattering      20ff
Classically forbidden region      67
codes      see "Programs"
Collective behavior      134
Constant of the motion      38
Continuity equation      159
Convection      159
Convergence, root finding      13
Correlation, electrons in $H_{2}$ molecule      224
Correlation, Metropolis algorithm      214 219
Coulomb potential      14 57 72 121
Cowling's method      56
Creation operator      135
Cross section, differential      20 121
Cross section, Mott      122
Cross section, Rutherford      121
Cross section, total      97
Cylindrical Bessel function      67 87ff
Cylindrical geometry, elliptic partial differential equations      156
Data analysis      123
de Broglie wave number      16
Deflection function      20ff
Degeneracy pressure, electrons      46
Determinant, matrix      110 112
Diatomic molecule      14
dielectric constant      155
Differential cross section      20 121
Differential equations, ordinary      25ff
Differential equations, partial      145ff
Differentiation      1 2ff
Differentiation, 2-point      3
Differentiation, 3-point      3
Differentiation, 4-point      6
Differentiation, 5-point      5 6
Differentiation, backward      3
Differentiation, forward      3
Differentiation, instability      4
Differentiation, round-off error      4
Differentiation, symmetric      3
Diffusion coefficient      155
Diffusion equation      146
Dirac scattering      129
Dirichlet boundary conditions      146 169
Double-well potential      72
Drift function, Path Integral Monte Carlo      226
Driving term, ordinary differential equation      55
Eddy      167
Eigenvalue problem, differential equation      56 64ff 147
Eigenvalue problem, differential equation, iterative method      188ff
Eigenvalue problem, differential equation, iterative method, round-off errors      186
Eigenvalue problem, differential equation, non-linear      72
Eigenvalue problem, differential equation, root finding      65
Eigenvalue problem, matrix      112ff
Eigenvalue problem, matrix, Gerschgorin's bounds      114
Eigenvalue problem, matrix, Lanczos algorithm      119
Eigenvalue problem, matrix, root finding      113
Eigenvalue problem, matrix, tri-diagonal matrix      113
Eigenvectors, inverse iteration      118
Eikonal, approximation      96ff 99 129
Eikonal, scattering amplitude      99
Electronic eigenvalue, $H_{2}$ molecule      221
Electrons, correlation, $H_{2}$ molecule      224
Electrons, degeneracy pressure in white dwarf stars      46
Electrons, density in atoms      74
Electrons, free Fermi gas      47
Electrons, gas      221
Electrons, scattering from neutral atoms, high-energy      96ff
Electrons, scattering from neutral atoms, low-energy      103ff
Electrons, scattering from nuclei      120ff
Electrons, spin state in atoms      73
Electrons, valence      78
Electrostatics problem      157
Elliptic fixed points      42
Elliptic partial differential equations      145ff
Elliptic partial differential equations, cylindrical geometry      156
Elliptic partial differential equations, eigenvalue problem      147 181ff
Elliptic partial differential equations, iterative methods      151ff
Elliptic partial differential equations, spatially varying dielectric constant      155
Elliptic partial differential equations, spherical geometry      156
Elliptic partial differential equations, two-dimensional      180
Elliptic partial differential equations, variational principle      147ff
Equation of state      47
Equation of state, polytropic      52
Equilibrium values, Brusselator      190
Errors      see also "Accuracy" "Inaccuracy" "Instability" "Round-off" "Stability" "Uncertainty"
Errors, Monte Carlo methods      204
Euler — Lagrange equations      75
Euler's method      26
Exchange, energy      79
Exchange, matrix elements      75
Explicit scheme, parabolic partial differential equation      170
Faraday Cage      157
Fermi, function      126
Fermi, gas of electrons      47
Fermi, momentum      48
Ferromagnetic couplings      220
ferromagnetism      215
Filling approximation      78
Finding of roots      11ff see
Finite square-well potential      72
Fixed boundary condition      190
Fixed points      42
Fixed points, elliptic      42
Fixed points, hyperbolic      42
Fluid flow      158ff
Fluid flow, incompressible, viscous      159
Fluid flow, jump geometry      168
Fluid flow, nozzle geometry      168
Fock potential      80
Forbidden region, classical      67
Force, gravitational      46
Force, pressure      159
Force, viscous      159 167
Fourier expansion      126 127
Fourier — Bessel transform      129
Gauss — Chebyshev quadrature      96
Gauss — Hermite quadrature      95
Gauss — Jordan method, matrix inversion      110
Gauss — Laguerre quadrature      94
Gauss — Legendre quadrature      94 102
Gauss — Seidel iteration      151
Gaussian, distribution, random number generation      208
Gaussian, elimination and back-substitution      175
Gaussian, quadrature      85ff 92ff
Gaussian, wavepacket      188
Gaussian, well potential      101 188
Geometry, cylindrical, elliptic partial differential equations      156
Geometry, jump, fluid flow      168
Geometry, nozzle, fluid flow      168
Geometry, spherical, elliptic partial differential equations      156
Gerschgorin's bounds, eigenvalue problem      114
Gravitational force      46
Green's function, Monte Carlo      225
Green's function, solution, boundary value problems      61ff
Hamiltonian, integrable      38
Hamiltonian, separable      38
Harmonic-oscillator potential, path integral Monte Carlo      230
Hartree — Fock approximation      72ff 133
HD molecule      17
He atom      230
Heat bath algorithm, Monte Carlo methods      220
Heisenberg model      215
Henon and Heiles potential      42
Hermite polynomials      87
High energy quantum scattering      96ff
High energy quantum scattering, Born approximation      98
High energy quantum scattering, eikonal approximation      98
High energy quantum scattering, semiclassical approximation      98
Homogeneous equation      60 61
Householder method      115
Hydrodynamics, steady state      158ff
Hydrogenic orbital      76 84
Hyperbolic fixed points      42
Impact parameter      20 98 129
Implicit methods, ordinary differential equations      30
Implicit methods, parabolic partial differential equations      174
Inaccuracy, ordinary differential equations      26
Infinite lattice, Ising model      217
Inhomogeneous term, differential equation      55
Initial value problem      26
Initial value problem, ordinary differential equations      26 58
Initial value problem, partial differential equation      169 172
Integrable Hamiltonian      38
Integrable singularities      10
Integrals, multi-dimensional      197
Integration      see "Differential equations" "Quadrature"
Interaction, coulomb      14
Interaction, van der Waals      14
Invariant torus      42
Inverse vector iteration      118
Inversion, matrix      109
Ising model      215ff
Ising model, infinite lattice      217
Ising model, phase transition      218 220
Ising model, thermodynamic properties      215
Jump geometry, fluid flow      168
Kam theorem      42
Lagrange multiplier      77 124 182
Laguerre polynomials      87
Lanczos algorithm, eigenvalue problem      119
Lane — Emden equation      52
Laplace's equation      157ff
Lattice gauge theories      221
Legendre polynomials      86 93 104
Legendre polynomials, recursion relations      86
Lennard — Jones potential      14ff 20 69 see
Lenz — Jensen potential      101
Linear approximation      109 123
Linear combination, atomic orbitals      224
Linear congruential method, random numbers      205
Linear stability analysis for the Brusselator      191ff
Liquid drop      126
Lissajous patterns      38
Lommel function      130
Lorentzian wavepacket      188
Low-energy atomic resonances      108
Low-energy scattering      103ff
Magnetic field      215
Magnetic material      215
magnetization      217
Mass, Chandrasekhar      53
Matrix, determinant      110 112
Matrix, eigenvalue problem      112ff
Matrix, Gaussian elimination and back substitution      175
Matrix, Householder method      115ff
Matrix, inversion      109ff
Matrix, inversion, equilibration      112
Matrix, inversion, Gauss — Jordan method      110
Matrix, inversion, numerical round-off error      112
Matrix, inversion, pivoting      111
Matrix, operations      109ff
Matrix, reduction to tri-diagonal form      115ff
Matrix, singular      111
Matrix, sparse      145 151
Matrix, tri-diagonal      151 175
Metropolis algorithm      210ff
Metropolis algorithm, auto-correlation      214 219
Metropolis algorithm, thermalization      214
Metropolis algorithm, trial step size      213
Minimization of chi-square      123
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