Numerical Methods for Engineers and Scientists 3rd Edition

Index

A

abs, 281, 512

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 ...