In the following table, each line/entry contains
the program file name
and a brief description.
Click on the program name to display the source code,
which can be downloaded.
| Chapter 1: Mathematical Preliminaries and Floating-Point Representation | ||
| first.f90 | First programming experiment | |
| pi.f90 | Simple code to illustrate double precision | |
| oct.f90 | Print in octal format | |
| hex.f90 | Print in hexadecimal format | |
| numbers.f90 | Print internal machine representation of various numbers | |
| xsinx.f90 | Example of carefully programming f(x) = x - sinx | |
| Chapter 2: Linear Systems | ||
| ngauss.f90 | Naive Gaussian elimination to solve linear systems | |
| gauss.f90 | Gaussian elimination with scaled partial pivoting | |
| tri.f90 | Solves tridiagonal systems | |
| penta.f90 | Solves pentadiagonal linear systems | |
| Chapter 3: Locating Roots of Equations | ||
| bisection.f90 | Bisection method | |
| rec_bisection.f90 | Recursive version of bisection method | |
| newton.f90 | Sample Newton method | |
| secant.f90 | Secant method | |
| Chapter 4: Interpolation and Numerical Differentiation | ||
| coef.f90 | Newton interpolation polynomial at equidistant pts | |
| deriv.f90 | Derivative by center differences/Richardson extrapolation | |
| Chapter 5: Numerical Integration | ||
| sums.f90 | Upper/lower sums experiment for an integral | |
| trapezoid.f90 | Trapezoid rule experiment for an integral | |
| romberg.f90 | Romberg arrays for three separate functions | |
| rec_simpson.f90 | Adaptive scheme for Simpson's rule | Chapter 6: Spline Functions |
| spline1.f90 | Interpolates table using a first-degree spline function | |
| spline3.f90 | Natural cubic spline function at equidistant points | |
| bspline2.f90 | Interpolates table using a quadratic B-spline function | |
| schoenberg.f90 | Interpolates table using Schoenberg's process | |
| Chapter 8: More on Systems of Linear Equations | ||
| Chapter 7: Initial Value Problems | ||
| euler.f90 | Euler's method for solving an ODE | |
| taylor.f90 | Taylor series method (order 4) for solving an ODE | |
| rk4.f90 | Runge-Kutta method (order 4) for solving an IVP | |
| rk45.f90 | Runge-Kutta-Fehlberg method for solving an IVP | |
| rk45ad.f90 | Adaptive Runge-Kutta-Fehlberg method | |
| taylorsys1.f90 | Taylor series method (order 4) for systems of ODEs | |
| taylorsys2.f90 | Taylor series method (order 4) for systems of ODEs | |
| rk4sys.f90 | Runge-Kutta method (order 4) for systems of ODEs | |
| amrk.f90 | Adams-Moulton method for systems of ODEs | |
| amrkad.f90 | Adaptive Adams-Moulton method for systems of ODEs | |
| Chapter 9: Least Squares Methods | ||
| Chapter 10: Monte Carlo Methods and Simulation | ||
| test_random.f90 | Example to compute, store, and print random numbers | |
| coarse_check.f90 | Coarse check on the random-number generator | |
| double_integral.f90 | Volume of a complicated 3D region by Monte Carlo | |
| volume_region.f90 | Numerical value of integral over a 2D disk by Monte Carlo | |
| cone.f90 | Ice cream cone example | |
| loaded_die.f90 | Loaded die problem simulation | |
| birthday.f90 | Birthday problem simulation | |
| needle.f90 | Buffon's needle problem simulation | |
| two_die.f90 | Two dice problem simulation | |
| shielding.f90 | Neutron shielding problem simulation | |
| Chapter 11: Boundary Value Problems | ||
| bvp1.f90 | Boundary value problem solved by discretization technique | |
| bvp2.f90 | Boundary value problem solved by shooting method | |
| Chapter 12: Partial Differential Equations | ||
| parabolic1.f90 | Parabolic partial differential equation problem | |
| parabolic2.f90 | Parabolic PDE problem solved by Crank-Nicolson method | |
| hyperbolic.f90 | Hyperbolic PDE problem solved by discretization | |
| seidel.f90 | Elliptic PDE solved by discretization/ Gauss-Seidel method | |
| Chapter 13: Minimization of Functions | ||
| Chapter 14: Linear Programming Problems | ||
Addditional programs can be found at the textbook's anonymous ftp site:
ftp://ftp.ma.utexas.edu/pub/cheney-kincaid/
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