List of Mfunctions used in the book.
MATLAB
Functions

Definition

Section 
abash 
AdamsBashforth
of orders 2, 3, and 4 
9.6 
amoulton 
AdamsMoulton
method 
9.8 
bisect 
Bisection
method 
3.1 
derive 
l)ilferentiation

8.1 
euler 
Euler's
method 
9.1 
explsqr 
Least
squares fit, exponential 
7.3.1 
False 
False
position method. 
3.2 
Finitediff 
Finite
difference methods. 
10.1 
Fixed 
Fixed
point iteration. 
3.6 
gaussel 
Gaussian
elimination, scaled pivoting. 
4.3 
gauss_quad 
Gaussian
quadrature. 
8.4 
Heat 
Parabolic
differential equations 
12.1.1 
Heat_crank 
Parabolic
differential equations 
12.1.2 
hyperbolic 
Hyperbolic
differential equations. 
12.2 
hyplsqr 
Least
squares fit, hyperbolic. 
7.3.2 
jacobi 
Jacobi
iteration 
4.5.1 
lagrange 
Lagrange
interpolation polynomial. 
5.4 
laplace 
Laplace's
equation. 
12.3 
linlsqr 
Least
squares fit, linear 
7.1 
lshoot 
Linear
shooting method 
10.2 
lufact 
LU
decomposition. 
4.4 
midpoint 
Midpoint
method 
9.4 
newton 
Newton's
method 
3.4 
newtonsys 
Newton's
method for systems. 
3.8 
newton2 
Newton's
method, multiple roots. 
3.7 
newtondd 
Interpolation,
Newton differences. 
5.2 
ngaussel 
Gaussian
elimination, naive. 
4.2 
polylsqr 
Least
squares fit, polynomial. 
7.2 
rk2_4 
RungeKutta
method, orders 2 and 4 
9.4 
romberg 
Romberg
integration 
8.3 
secant 
Secant
method 
3.5 
seidel 
GaussSeidel
iteration 
4.5.2 
simpson 
Simpson's
rule 
8.2 
spl1 
Spline,
linear 
6.1 
sp13 
Spline,
cubic 
6.3 
sysrk4 
System
of differential equations. 
9.11 
trapez 
Trapezoidal
rule 
8.1 