`        List of M-functions used in the book.

 

MATLAB Functions

Definition

  Section

abash

Adams-Bashforth of orders 2, 3, and 4

9.6

amoulton

Adams-Moulton 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

newton-sys

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

Runge-Kutta method, orders 2 and 4

9.4

romberg

Romberg integration

8.3

secant

Secant method

3.5

seidel

Gauss-Seidel 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

 

 

 

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