Numerical Mathematics and Computing
Sixth Edition
Ward Cheney & David Kincaid
Sample Mathematica Codes

In the following table, each line/entry contains the code file name and a brief description. Click on the program name to display the source code, which can be downloaded.

Chapter 1: Introduction
sineplot		Plots of partial series for sin(x)
sin		Sine series expansion and plot
series		Taylor series expansions
Chapter 2: Number Representation and Errors
numbers		Examples of numbers in different bases
precision		Machine precision and accuracy
Chapter 3: Locating Roots of Equations
bisect		Bisection example
newt		Newton's method example
newt_sys		Newton's method for system of equations
secant		Examples associated with Secant
Chapter 4: Interpolation and Numerical Differentiation
newt_interp1		Newton interpolation polynomial example (5 data points)
newt_interp2		Newton interpolation polynomial example (4 data points)
newt_interp_sin		Newton interpolation (sin(x) at 10 equidistant ponts)
inv_interp		Newton inverse interpolation example
runge_fcn		Newton interpolation Runge function
derivative		Newton interpolation example 1
Chapter 5: Numerical Integration
error_integral1		Numerical integration: error integral
sine_integral		Numerical integration: sine integral
error_integral2		Numerical integration: exp(-x*x)
bernoulli		Bernoulli polynomials
Chapter 6: More on Numerical Integration
cos-exp		Numerical integration example: cos(2x)/exp(x)
cp6-2-8		Computer Problem 6.2.8
Chapter 7: Systems of Linear Equations
lin_sys1		Linear system first example
lin_sys2		Linear system second example
Chapter 8: More on Systems of Linear Equations
lu_factor		LU factorization
char_poly		Characteristic polynomial example
null		Null space example
timing		Timing example
eigen		Eigenvalue/eigenvector example
schur		Schur form example
svd		Singular Value Decomposition example
Chapter 9: Approximation by Spline Functions
cubic_spline1		Cubic spline example 1
cubic_spline2		Cubic spline example 2
bezier		Bezier polynomial example
Chapter 10: Ordinary Differential Equations
explicit		Explicit solution of an ODE
practial		Practial ODE example
ode1		Numerical solution of an ODE
ode2		Numerical solution of an ODE
ode3		Numerical solution of an ODE
ode4		Numerical solution of an ODE
Chapter 11: Systems of Ordinary Differential Equations
ode_sys1		Analytic/numerical solution systems of ODE 1
ode_2nd_order		Second order IVP
ode_high_order		High order IVP
ode_sys2		Analytic/numerical solution systems of ODE 2
Chapter 12: Smoothing of Data and the Method of Least Squares
ls_fit		Linear least squares fit for polynomials
np_ls_fit		Least squares fit of a non-polynomial function
cheby		Plot of Chebyshev polynomials
p_inv1		Minimal solution using pseudo-inverse of matrices
p_inv2		Find pseudo-inverse in case of loss in rank
Chapter 13: Monte Carlo Methods and Simulation
ran_num_exps		Examples using random numbers
Chapter 14: Boundary Value Problems for Ordinary Differential Equations
bvp1		Two-point boundary-value problem example 1
bvp2		Two-point boundary-value problem example 2
Chapter 15: Partial Differential Equations
heat		Parabolic PDE: solve heat eqn. & plot
wave		Hyperbolic PDE: solve wave eqn. & plot
Chapter 16: Minimization of Functions
min_val1		Minimizing multivariate functions
min_val2		Find local minimum of a function
taylor_series		Taylor series in two variables
Chapter 17: Linear Programming
lin_prog1		Maximize subject to inequality constraints
lin_prog2		Minimize subject to inequality constraints
lin_prog3		Minimize subject to equality constraints
lin_prog4		Minimize subject to inequality constraints

Addditional programs can be found at the textbook's anonymous ftp site:

ftp://ftp.ma.utexas.edu/pub/cheney-kincaid/