QUAD_SERIAL
Estimate an Integral

QUAD_SERIAL is a FORTRAN90 program which estimates an integral by using an averaging technique.

This program is intended as a starting point; both MPI and OpenMP can be used to make a parallel version.

Licensing:

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

Languages:

QUAD_SERIAL is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.

Related Data and Programs:

FFT_SERIAL, a FORTRAN90 program which demonstrates the computation of a Fast Fourier Transform, and is intended as a starting point for developing a parallel version using OpenMP.

FIRE_SERIAL, a FORTRAN90 program which simulates a forest fire over a rectangular array of trees, starting at a single random location. It is intended as a starting point for the development of a parallel version.

HEATED_PLATE, a FORTRAN90 program which solves the steady state heat equation in a 2D rectangular region, and is intended as a starting point for implementing an OpenMP parallel version.

MD, a FORTRAN90 program which carries out a molecular dynamics simulation, and is intended as a starting point for implementing an OpenMP parallel version.

MXM_SERIAL, a FORTRAN90 program which sets up a matrix multiplication problem A=B*C, intended as a starting point for implementing a parallel version.

POISSON_SERIAL, a FORTRAN90 program which computes an approximate solution to the Poisson equation in a rectangle, and is intended as the starting point for the creation of a parallel version.

PRIME_SERIAL, a FORTRAN90 program which counts the number of primes between 1 and N, intended as a starting point for the creation of a parallel version.

QUAD_OPENMP, a FORTRAN77 program which applies a quadrature rule to estimate an integral over a 1D interval, using OpenMP for parallel execution.

QUAD2D_SERIAL, a FORTRAN90 program which approximates an integral over a 2D region using a product quadrature rule, and is intended as a starting point for parallelization exercises.

SUBSET_SUM_SERIAL, a FORTRAN90 program which seeks solutions of the subset sum problem, in which it is desired to find a subset of a set of integers which has a given sum; this version of the program is intended as a starting point for a parallel approach.

Reference:

1. Peter Arbenz, Wesley Petersen,
   Introduction to Parallel Computing - A practical guide with examples in C,
   Oxford University Press,
   ISBN: 0-19-851576-6,
   LC: QA76.58.P47.
2. Rohit Chandra, Leonardo Dagum, Dave Kohr, Dror Maydan, Jeff McDonald, Ramesh Menon,
   Parallel Programming in OpenMP,
   Morgan Kaufmann, 2001,
   ISBN: 1-55860-671-8,
   LC: QA76.642.P32.
3. Barbara Chapman, Gabriele Jost, Ruud vanderPas, David Kuck,
   Using OpenMP: Portable Shared Memory Parallel Processing,
   MIT Press, 2007,
   ISBN13: 978-0262533027,
   LC: QA76.642.C49.

Source Code:

• quad_serial.f90, the source code;

Examples and Tests:

• quad_serial.txt, the output file;

You can go up one level to the FORTRAN90 source codes.