October 2013
Beginner to intermediate
576 pages
17h 2m
English
Content preview from Numerical Methods for Engineers and Scientists 3rd EditionBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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Index
A
Adams-Bashforth method, 418
Adams-Moulton method, 419
Algorithm, 16
Aliasing, 272
Anonymous function, 530
Antiderivative, 26
Array (in MATLAB), 514
Average value of a function, 28
B
Back substitution, 101
Backward difference formula, 306
Backward Euler method, 399
Bandwidth (Fourier transform), 286
Basic fitting interface, 238
Basic power method, 167
bcfun, 493
Binary number, 5
Bisection method, 61
Bit, 7
Boundary condition
Dirichlet, 472
mixed, 472
Neumann, 472
Bracketing methods, 59
bvp4c, 493
bvpinit, 494
Byte, 7
C
Canonical form of linear ODE, 41
ceil, 513
Central difference formula, 306
Chain rule, 45
Characteristic equation, 167
Chopping, 10
clc, 510
Closed interval, 24
Command Window, 510
complex discrete Fourier transform, 268
Composite integration
midpoint method, 346
rectangle method, 344
Simpson's 1/3 method, 351
Simpson's 3/8 method, 354
trapezoidal method, 347
cond, 140
Condition number, 151
Conditional statement, 538
conj, 281
Cramer's rule, 38
Cross product, 31
Crout's method, 121
Cubic splines, 229
cubic, 233
Curve fitting
higher order polynomial, 206
least-squares regression, 197
linear combination of nonlinear functions, 238
linear equation, 195
nonlinear equation, 201
overall error, 196
polynomial, 205
quadratic polynomial, 205
Curve fitting, 194
D
dblquad, 363
Decimal number, 4
Definite integral, 27
Dependent variable, 24
Derivative
backward difference, 306, 311, 316
central difference, 306, 312, 315
finite difference approximation, 304 ...
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