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Quarteroni A., Saleri F. — Scientific Computing with MATLAB
Quarteroni A., Saleri F. — Scientific Computing with MATLAB

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Название: Scientific Computing with MATLAB

Авторы: Quarteroni A., Saleri F.

Аннотация:

With their book Scientific Computing with MATLAB the authors now intend to provide the missing link, targeting undergraduate and graduate students in computational science, mathematics and sciences as well as any other researcher … . is written in a clear and concise style, figures, tables and formula boxes complement the explanations. … The whole book is an invitation … to the reader to play with MATLAB … . a stimulating introductory text book about numerical methods that successfully combines mathematical theory with programming experience.


Язык: en

Рубрика: Computer science/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd

Год издания: 2003

Количество страниц: 257

Добавлена в каталог: 22.03.2011

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
...      31 28
A-stability      167
abs      6
Absolute, error      3
Absolute, stability      165
Adams — Bashforth formula      175
Adams — Moulton formula      175
Adaptive formula      95
Adaptivity      73 95
Algorithm      24
Algorithm, Gauss      108
Algorithm, multigrid      134
Algorithm, Strassen      25
Algorithm, Thomas      (see Thomas algorithm)
Algorithm, Winograd and Coppersmith      25
Aliasing      70
angle      6
ANS      27
Approximation, least square      76
Arpackc      150
Average      82
Axis      146
Backward, difference formula      176
Backward, Euler method      156
Backward, finite difference      85
Backward, substitutions      107
Bairstow method      52
Basis      3
Bisection      40
Bisection method      38
boundary conditions      189 205
Boundary-value problem      187
Boundary-value problem, Dirichlet      189
Boundary-value problem, Neumann      189
break      209
Broyden method      52
Cancellation      5
Cauchy problem      155
Chebyshev, interpolation      65 66
Chebyshev, nodes      65
chol      113
Cholesky factorization      113
Cholinc      134
clear      28
compass      7
Compatibility relation      122
COMPLEX      6
Complex number      6
complexity      25
Computational cost      25
cond      118
condest      118
Condition number      118 199
CONJ      7
Consistency      202
Consistent method      160 202
contour      238
conv      18
Convergence      23
Convergence, Euler method      158
Convergence, finite differences      202
Convergence, Gauss — Seidel method      127
Convergence, interpolation      65
Convergence, iterative method      122 123
Convergence, Newton method      43
Convergence, order      23
Convergence, power method      142
Convergence, Richardson method      130
cos      28
cputime      26
Crank — Nicolson method      162
cumtrapz      91
dblquad      99
deconv      18
Deflation      52 150
Degree of exactness      89
Dekker — Brent method      52
DET      111
Determinant      110
diag      11
diff      20
Discretization step      156
DISP      209
Divergence operator      189
EIG      148
Eigenvalue      14 137
Eigenvalue, extremal      140
Eigenvector      14 137
eigs      149
Elastic membrane      201
END      26
EPS      3
Error, absolute      3 23
Error, computational      23
Error, estimator      24 44 45 50 95 119
Error, interpolation      63
Error, perturbation      169
Error, relative      3 23
Error, roundoff      3
Error, truncation      23 203
etime      26
Eulesp      157
exit      27
EXP      28
Explicit method      157
EXPONENT      3
Extrapolation Richardson method      101
eye      9
Factorization, Cholesky      113 144
Factorization, Gauss      109
Factorization, LU      106 144
Factorization, QR      152
feval      15 33
Fibonacci sequence      30
find      40
Finite difference, backward      85
Finite difference, centered      85
Finite, differences method      190 195
Finite, elements method      192
fix      209
Fixed point      47
Floating-point, numbers      1
Floating-point, operations      25
FORMAT      2
Formula, adaptive      95
Formula, backward difference      176
Formula, Euler      8
Forward      85
Forward, Euler method      156 165
Forward, finite difference      85
Forward, substitutions      107
Fourier transform, discrete      68
Fourier transform, fast      69
fplot      14 73
Function, derivative      20
Function, graph      14
Function, primitive      19
FUNTOOL      21
fzero      16 52
Gauss — Seidel method      126
Gauss, algorithm      108
Gauss, factorization      109
Gauss, nodes      90
Gauss, quadrature formulae      90 99
Gershgorin circles      146
gmres      134
grid      15
griddata      80
Griddata3      80
Griddatan      80
Heat equation      188
help      28
Heun method      177
Hilbert matrix      115 132
Hold off      146
hold on      146
if      26
ifft      69
IMAG      7
Implicit method      157
Improved Euler method      177
Increment      129
inf      4
inline      33
int      20
Interp1      73
Interp1q      73
interp2      79
interp3      79
Interpft      69
Interpolant      60
Interpolation, Chebyshev      65
Interpolation, composite      72 79
Interpolation, Lagrangian polynomial      60
Interpolation, nodes      59
Interpolation, piecewise linear      72
Interpolation, polynomial      60
Interpolation, rational      60
Interpolation, splines      (see Spline)
Interpolation, trigonometric      60 67
INV      10
Invshift      144
Iteration function      48
iterations      48
Iterative methods      122
Jacobi method      124
Kronecker symbol      61 68
Krylov methods      134
Lagrange, characteristic polynomials      62
Lagrange, form      62
Lanczos method      150
Laplace, operator      187 197
Laplace, rule      10
Least squares method      75
Lexicographic order      197
Lipschitz continuous function      155
Load      28
Local truncation error      159 203
loglog      23
Lotka and Leslie model      138
Lotka — Volterra equations      154
lu      110
luinc      134
magic      134
Mantissa      3
Matrix      8
Matrix, bidiagonal      120
Matrix, companion      52
Matrix, determinant      10
Matrix, diagonal      11
Matrix, diagonally dominant      112 124
Matrix, Hilbert      (see Hilbert matrix)
Matrix, identity      9
Matrix, ill conditioned      119
Matrix, inverse      10
Matrix, iteration      123
Matrix, permutation      114
Matrix, positive definite      112 127
Matrix, product      9
Matrix, similar      148
Matrix, sparse      (see Sparse matrix)
Matrix, square      9
Matrix, strictly diagonal      127
Matrix, symmetric      12 112 127
Matrix, transpose      12
Matrix, triangular      12
Matrix, tridiagonal      120 127 191
Matrix, Vandermonde      109
Matrix, Wilkinson      151
mesh      199
meshgrid      80 238
Method, Adams — Bashforth      175
Method, Adams — Moulton      175
Method, backward Euler      (see Backward Euler method)
Method, Bairstow      52
Method, bisection      (see Bisection method)
Method, Broyden      52
Method, conjugate gradient      132 134
Method, Crank — Nicolson      (see Crank — Nicolson method)
Method, Dekker — Brent      52
Method, dynamic Richardson      130
Method, finite element      204
Method, forward Euler      (see Forward Euler method)
Method, Gauss — Seidel      126
Method, GMRES      134
Method, gradient      130
Method, Jacobi      124
Method, least squares      75
Method, Monte Carlo      208
Method, Muller      52
Method, multifrontal      134
Method, Newton      (see Newton method)
Method, Newton — Horner      52
Method, power      (see Power method)
Method, predictor-corrector      176
Method, QR      148
Method, relaxation      127
Method, SOR      136
Method, spectral      204
Method, stationary Richardson      130
Method, Sturm      52
Midpoint formula      88
Midpoint formula, composite      87
Model problem      165
Model problem, generalized      168
Muller method      52
Multistep method      175
NaN      5
nargin      33
nchoosek      209
Neumann boundary conditions      205
Newton      45
Newton method      42 54
Newton method, adaptive      44
Newton method, modified      44
Newton — Cotes formulae      99
Newton — Horner method      52
Norm      14
Numerical integration      87
ode113      178
Ode15s      176 183
ode23      175 185 240
ode23s      183
Ode23tb      175 183
ode45      175
One-step method      156
ones      13
Ordinary differential, equation      153
Overflow      4 5
Partial derivative      187
Partial differential, equation      153
Patch      146
Path      30
Pchip      75
Pdetool      80 202 204
peg      134
Phase plane      179
Piecewise linear interpolation      72
Pivot element      109
Pivoting      113
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