cheney_kincaid

cheney_kincaid, an Octave code which contains examples from Cheney and Kincaid's Numerical Mathematics and Computing text.

These files are accessible from https://web.ma.utexas.edu/CNA/NMC7/

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

cheney_kincaid is available in a MATLAB version and an Octave version.

Related Data and Programs:

cheney_kincaid_test

atkinson, an Octave code which contains examples from Atkinson's Elementary Numerical Analysis text.

conte_deboor, an Octave code which contains examples from Conte and deBoor's Elementary Numerical Analysis text.

Reference:

1. Ward Cheney, David Kincaid,
   Numerical Mathematics and Computing,
   CENGAGE, 2013,
   ISBN13: 978-1-133-10371-4.

Source Code:

• accuracy.m Numbers with different accuracy;
• bvpbc.m, used by bvp.m;
• bvpfcn.m, used by bvp.m;
• bvp.m, Two-point boundary-value problem example;
• cpb6_2_8.m, Computer Problem 6.2.8: Numerical intergration example;
• cpb6_2_9.m, Computer Problem 6.2.9: Difficult Numerical intergration;
• cpb8_3_1d.m, Computer Problem 8.3.1d;
• eig_ck.m, eigenvalue Example;
• euler.m, Euler's method for solving an ODE;
• f.m, used by euler.m;
• f1.m, used by num_int1.m;
• f2.m, used by num_int2.m;
• f3.m, used by num_int3.m;
• fast.m, Fast Equation (PDEdemo8);
• Fcn.m, used by gauss_newton.m;
• fcn_roots.m, Roots of functions or polynomials;
• fmin1.m, Minimizing multivariate functions;
• fmin2.m, Find local minimum of a function;
• format_ck.m, numbers in different formats;
• fractal.m, Fractal basins of attraction (CPb. 3.2.27);
• gauss_elim1.m, Gaussian elimination to solve linear systems;
• gauss_elim2.m, Gaussian elimination to solve linear systems;
• gauss_newton.m, Newton's method for solving nonlinear systems;
• G.m, used by fcn_roots.m;
• heat.m, Heat Equation;
• helm.m, Helmholtz Equation (PDEdemo2);
• inverse_interp.m, Inverse Newton interpolation polynomial example;
• inv_power.m, Inverse Power Methods;
• ldl_ck.m, LDL Factorization;
• lin_prog1.m, Maximize subject to inequality constraints;
• lin_prog2.m, Minimize subject to inequality constraints;
• lin_prog3.m, Minimize subject to equality constraints;
• lin_prog4.m, Minimize subject to inequality constraints;
• ls_fit.m, Linear least squares fit for polynomials;
• lu_fact.m, LU Factorization;
• mod_power.m, Modified Power Method;
• newtn_int_poly.m, Newton interpolation polynomial equidistant points;
• newton_sys.m, Example of Newton's method for solving a nonlinear system;
• np_ls_fit.m, Least squares fit for a non-polynomial function;
• nullspace.m, Null Space Example;
• num_int1.m, Numerical integration of exp(-x*x);
• num_int2.m, Numerical integration of sin(x)/x;
• num_int3.m, Numerical intergratin of cos(2*x)/exp(x);
• ode23file1.m, used by rk_ode23.m;
• ode23file2.m, used by rk2_ode23.m;
• ode45file1.m, used by rk_ode45.m;
• ode45file2.m, used by rk2_ode45.m;
• par.m, Parabolic Equation (PDEdemo5);
• pdexlbc.m, used by heat.m;
• pdexlic.m, used by heat.m;
• pdexlpde.m, used by heat.m;
• p_inv1.m, Minimal solution using pseudoinverse of matrices;
• p_inv2.m, Find pseudoinverse in case of loss in rank;
• poisson.m, Poisson Equation (PDEdemo1);
• poly_roots1.m, Roots of a cubic polynomial;
• poly_roots2.m, Roots of a fifth degree polynomial;
• rand_ck.m, examples using random numbers;
• rk2_ode23.m, Runge-Kutta method for systems of ODEs;
• rk2_ode34.m, Runge-Kutta-Fehlberg method for systems of ODEs;
• rkf_ode45.m, Runge-Kutta Fehlberg method for solving an IVP;
• rk_ode23.m, Runge-Kutta method for solving an IVP;
• runge_fcn.m, Polynomial interpolation for the Runge function;
• s1.m, used by sineplot.m;
• s2.m, used by sineplot.m;
• s3.m, used by sineplot.m;
• shift_inv_power.m, Shifted Inverse Power Method;
• sineplot.m, Graph of Taylor series partial sums for sin(x);
• small_eig.m, Small eigenvalue;
• sng_val_decomp.m, singular value decompositon of a matrix;
• spline_plot.m, plot of a cubic spline curve;
• spline_sin_plot.m, plot of a cubic spline curve for sin(x);
• sqrt_approx.m, variable precision arithmetic for approximation;
• timing.m, timing eigenvalue computation;
• wave.m, Wave Equation (PDEdemo6);