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  Search Home : Computers : Programming : Languages : Fortran : Source Code
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Fast Fourier Transforms Increasing Precision
Linear Algebra Optimization
Ordinary Differential Equations Physics
Partial Differential Equations Statistics and Econometrics


See Also:


  • ASTEM97 Steam Tables: By Edward D. Throm, contains routines to provide a wide range of interfaces to the thermodynamic and transport properties. [Commercial]
  • Alan Genz's homepage: Multi-dimensional integration, particularly for statistical applications.
  • Alan R. Miller: Code from the book "Fortran Programs for Scientists and Engineers", 2nd. ed. (1988).
  • Algorithms: Codes by Julio F. Fernández for uniform and Gaussian random number generation, matrix diagonalization, and physical simulations.
  • Algorithms and Data Structures in F and Fortran: Codes from book by Robin Vowels for sorting, linked lists and trees, complex arithmetic, text processing, solving linear equations, graphics, searching, numerical methods, and whole array operations.
  • Applied Numerical Methods for Scientists and Engineers: Fortran and C code from book by Singiresu Rao.
  • Arithmetic with Error Bounds: Fortran 90 code by Abraham Agay.
  • Automatic Differentiation of Fortran Codes (ADIFOR): Given code as input, it generates code for derivatives including gradients and hessians.
  • BETADER: Derivatives of the Incomplete Beta Function, by Robert J. Boik and James F. Robison-Cox.
  • BIEPACK: Code for boundary integral equations, by Kendall E. Atkinson.
  • Benchmark: 3-D Computational Fluid Dynamics code using the SOR method. There is a link to CPU times on various platforms, for two grid sizes.
  • Benchmarks of N. Tajima: Codes to time floating point and integer arithmetic, intrinsic functions, and random access to memory.
  • CASE Lab Codes: Space-time finite element solution for the 1-D Euler equations, STARS orientation angles calculator and elastics vector generator, simulation of a double wedge in a supersonic flow, atmospheric look-up tables, NACA 4-Digit Airfoil, and 2-D aerodynamic loads.
  • CFD Recipes: Computational fluid dynamics Fortran 77 code associated with "Computational Gasdynamics", a book by Culbert B. Laney.
  • CHIRP-Z transform for FFTs: Little known algorithm for calculating the FFT of a series of any length. Based upon Applied Statistics algorithms 117 & 83.
  • Check compiler and run-time environment (CHKSYS): Chksys.f determines the properties of the run-time environment for Fortran 77 programs. Chkcomp.f is a Fortran 77 code containing deliberate deviations from the standard and deliberate bad statements for testing the compiler's accuracy. Chksysff.f90 is a program to determine the properties of the run-time environment for Fortran 90 programs. Chkcomff.f90 is a Fortran 90 source file containing deliberate deviations from the standard and deliberate bad statements for testing the compiler's accuracy.
  • Collaborative Computational Projects: Links to chemistry, physics, and engineering codes, many in Fortran.
  • Combinatorial algorithms: Generation of subsets and permutations, Hamiltonian cycles, determinants and permanents, network flow, and minimum spanning trees.
  • Compiler Diagnostic Test Sets: Fortran 77/90/95 codes to test run-time diagnostic/debug capability of Windows and Linux Fortran Compilers, by Arnaud Desitter and Herman D. Knoble.
  • Computer Methods for Mathematical Computations: Code from the book, translated to ELF, a Fortran 90 subset. Algorithms for calculations in science and engineering, including linear equations, spline interpolation, integration, differential equations, zero finding, minimization and singular value decomposition.
  • DXFortran: Vectorial graphical library in DXF: Develops a vectorial graphical library in DXF (Drawing Interchange Format) format for Fortran 90 programmers. By Carlos Silva and Davide Santos.
  • Dan Nagle (Purple Sage Consulting) code: Fortran Portability Project, Fortran 2003 examples, and Fortran modules.
  • Daniel A. Steck: Fortran 90 codes to integrate Ito stochastic differential equations, generate random numbers, compute the FFT, and time programs.
  • Dave Gemini: Codes for a number-crunching benchmark, reading Internet URL addresses, and partially convertng C code to Fortran.
  • DownGradePrecision: Code by Kevin Rhoads to allow precision to be deliberately thrown away in an IEEE floating point compliant computing environment in order to more closely model computations in less precise floating point systems.
  • Ernesto Martin's codes: Random generator networks and other algorithms.
  • Examples: Fortran 90 codes from introductory course by John Mahaffy.
  • F (Fortran 95 subset) Program Examples: Factorial function, iterative computation of the square root, nonadvancing I/O, dynamic arrays, Towers of Hanoi, and other topics.
  • F2KCLI: Implements the draft F2K standard for accessing the command line and arguments. Site answers questions and lists supported compilers and platforms.
  • FXDR: Library by David W. Pierce that allows calls to the XDR (eXternal Data Representation) routines from Fortran.
  • Fast Hankel Transform: By Steve Sheng -- further details can be found in his dissertation.
  • Fast Statistical Methods: Fortran 90 and 77 codes by W.H. Press and G.B. Rybicki, for fast inversion matrices of an exponential form arising from autocorrelation functions of Ornstein-Uhlenbeck processes.
  • Fast Wavelet Transform: By Rick Ottolini, based on an article by Gilbert Strang.
  • Finite Elements: Fortran 90 code by Jacques Laminie.
  • Fluid Mechanics: NCSE Numerical Methods Library, FDLIB Fluid Dynamics Library, CFDLAB Computational Fluid Dynamics Laboratory, and BEMLIB Boundary-Element Software Library by C. Pozrikidis, Professor of Fluid Mechanics.
  • Fortran 77 Codes: Programs by John A. Strain to count zeros of the zeta function, compute the Fast Gauss Transform, and use spectral methods to solve nonlinear parabolic systems.
  • Fortran 77 Codes: Programs by Niklaus Zimmermann for climate data analysis, moving window regression, soil profile analysis, and testing predictive (simulated) maps.
  • Fortran 90 Software Repository: Has short, concise examples of specific features of the Fortran 90, 95 or 2003 language.
  • Fortran 90 codes of John Burkardt: Translations of Fortran 77 packages Lapack, Linpack, Eispack, Quadpack, and others. Code for graphics, finite elements, random number generation, and other topics.
  • Fortran Bits'n'pieces: Fortran sources, including Function Parser, that caches functions (for repetitive calling) and compiles functions to a byte-code representation to speed repeated evaluations. By Stuart Midgley.
  • Fortran CGI: Fortran 77 CGI examples using GET and POST.
  • Fortran Library Links: Gary Scott's extensive collection of source code links.
  • Fortran Programmers Club: Windows 95/98/NT/2000 applications programming in FORTRAN, by Vladimir V. Vasilchenko. Numerous samples of GUIs, using controls and common controls.
  • Fortran Resources (Lahey): A collection of links provided by a vendor of Fortran compilers.
  • Fortran Resources - Garnatz and Grovender: Keyed file shareware in Fortran 90 and 77, Fortran 90 interface to the X Window system.
  • Fortran Tools by Nelson Beebe: Dcl2inc postprocesses ftnchek .dcl files to create separate include files; dtosstod converts Fortran floating-point precision; fpp is a reversible Fortran preprocessor; lprsf3 is a filter to print Fortran and SFTRAN3 files with boldface keywords; and pretty is a Fortran 66 prettyprinter.
  • Fortran code: Fortran 77 codes by Daniel Powers for optimization and statistics.
  • Fortran78 Test Suite: Product of the NIST Information Technology Laboratory (ITL). It is used to determine, insofar as is practical, the degree to which a Fortran processor conforms to FIPS Fortran.
  • Free Fortran Software: A collection of useful links from the Fortran Market.
  • Free Software (of Craig C. Douglas): Fortran and C codes for fast matrix multiplication and multigrid solution of PDEs.
  • Fundamentals of Numerical Computing: Fortran 90 codes from book by Lawrence Shampine, Richard Allen, and Steven Pruess.
  • G77_i386_fpe_demo: Demonstrates handling of floating point exceptions under g77/i386/Linux. By Tom Crane.
  • GAMS : Guide to Available Mathematical Software: Guide to mathematical software in Fortran held at a small number of US government establishments. Some sources are in commercial libraries and are not directly accessible. The code is of a uniformly high quality but usually old; there may be more recent and better algorithms available.
  • GBYTES/SBYTES Library: Packages to handle binary unpacking and packing, in Fortran 77 and 90.
  • Gaussm3: Fortran 90 code for Gauss-Legendre and Gaussian quadrature, and solving linear equations by Gauss and Gauss-Jordan elimination, LU and Singular Value Decomposition.
  • H. D. Knoble's Collection of Fortran Algorithms: Sourcecode of programs, mostly of a tutorial nature.
  • Hello, World: Example of simple program in Fortran.
  • Helmholtz: Fortran 90 code to solve the Diffusion-Advection-Reaction equation in 2D.
  • High Performance Finite Elements: Fortran 77 and 90 codes.
  • High Performance Fortran Applications Software Catalog: Links to fragments, which are very short codes or code fragments to demonstrate the language features and constructs, kernels, which are short self-contained codes chosen as representative of particular application algorithms and their language feature requirements, and full applications codes, not necessarily stored in full locally, but registered here with relevant pointers given to the code owner/contact person.
  • Hompack90: Suite of Fortran 90 subroutines by Layne T. Watson for solving nonlinear systems of equations by homotopy methods. There are subroutines for fixed point, zero finding, and general homotopy curve tracking problems, utilizing both dense and sparse Jacobian matrices, and implementing three different algorithms: ODE-based, normal flow, and augmented Jacobian.
  • ISO Varying String: Implemented in the F subset by Rich Townsend.
  • Image Estimation by Example: Fortran 90 code of Jos Claerbout.
  • Input Routines: Fortran 90 module by Andy Stone that parses input lines into 'words', and routines that read a 'word' and translate it into a specified form, usually an integer or double-precision number. In conjunction with a simple CASE structure this provides a powerful and flexible method for organising data input. The package includes documentation, and an example program and data file as illustrations of the ways in which the module can be used to organise data. [gzipped tar file].
  • Introducing Fortran 95: Code from the book by Ian Chivers and Jane Sleightholme.
  • Introduction to F: Examples of the F (Fortran 95 subset) language, by Harvey Gould.
  • Introduction to Scientific Computing: Fortran and C codes in gzipped tar file from book by Brigitte Lucquin and Olivier Pironneau.
  • Iounits.f: Fortran 77 module to automatically assign i/o unit numbers, by Judah Milgram.
  • JPL Planetary and Lunar Ephemerides on CD-ROM by Standish, et. al: Contains three different Jet Propulsion Laboratory Planetary and Lunar Ephemerides (DE200, DE405, and DE406) along with associated reading and interpolating routines, allowing the user to obtain the rectangular coordinates of the sun, moon, and nine major planets by means of a subroutine written in standard Fortran.
  • Jeff Cameron's Fortran code: Code for the VMS operating system and for a fractal figure called Sierpinski's Gasket.
  • Jon Ahlquist's date manipulation code: Conversion to and from Julian dates, day-of-week and other date calculations, plus historical information. See also datesub.f90 at http://users.bigpond.net.au/amiller/
  • Jugoslav Dujic's Fortran Resources: XFT (eXtended Fortran Types) is a set of Fortran modules which wrap some Win32 APIs, the Dialog Management section has an enhanced DFLOGM module from CVF 6 and the Win32 Headers section has translations of some C header files that were not (yet?) incorporated in CVF.
  • Katherine Prescott's Fortran Downloads: Fortran 90 codes to solve ordinary and partial differential equations, tridiagonal linear systems and to simulate some problems involving lakes and rivers.
  • KindFinder: Fortran 90 program by Werner W. Schultz that checks for the available KIND parameters available for a given Fortran 90 or 95 compiler. It prints into a file a new Fortran program that can be compiled to write into a unit the various parameters that describe each integer/real representation.
  • LFA_Search: Fortran 90 code by Chad M. Schafer to numerically approximate the least favorable alternative (LFA) and least regrettable alternative (LRA). These define the minimax expected size and minimax regret confidence procedures, respectively.
  • Lahey's Fortran Code Repository: Fortran codes for various tasks.
  • Linear Algebra and Econometrics: SPARSEM is a collection of sparse matrix classes that makes programming with sparse matrices (and large problems) almost as easy as a matrix language. BLUPF90 is a BLUP program written using SPARSEM. REMLF90 is a REML version of BLUPF90 that uses accelerated EM algorithm. Other programs included are dense matrix module DENSEOP, Gibbs sampling program GIBBS90, and several versions of linear-threshold models. By Ignacy Misztal and collaborators.
  • Lucent Technologies (Bell Labs.) Non-Exclusive Limited-Use Software: An old but dependable library of Fortran 77 code which includes approximation, ODE/PDE solution, linear algebra, optimization, quadrature, root finding, special functions and FFTs. You must agree to single-user licence conditions before downloading a gzipped tar file (1Mb).
  • MPLOT: Package of MATLAB-style-callable routines for plain graphics by Valery E.Grikurov, Professor of Mathematics and Mathematical Physics. RGB color scheme is used (TrueColor mode supported).
  • MathFinance - Financial Functions Library: Fortran 90 code for the Cox-Ross-Rubinstein binomial model, the analytic Black-Scholes formula, and Monte Carlo Simulation.
  • Memory Leaks: Fortran 90 test program by Arjen Markus to see if memory leaks originating from derived-types can be circumvented.
  • Moisture Content Adjustment: Code to predict a property (P2) of dimension lumber at a target moisture content (MC2) given the value of the property (P1) at an initial moisture content (MC1).
  • Multivariate Normal Probabilities and Quadratic Assignment Problems: Codes by Professor Zvi Drezner.
  • NAS Parallel Benchmarks: Set of eight programs designed to help evaluate the performance of parallel supercomputers. The benchmarks, which are derived from computational fluid dynamics (CFD) applications, consist of five kernels and three pseudo-applications.
  • NSWC Library of Mathematics Subroutines: NSWC (Naval Surface Warfare Center) Library of Mathematics Subroutines written in Fortran 66. Old but very high quality code. Unfortunately the manual is only available in hard copy, and is very difficult to obtain. The source code is also available by ftp from: ftp://math.jpl.nasa.gov/pub/nswc.93
  • Ncregrid: Tool by Patrick Jöckel for data transfer of gridded 2- and 3-dimensional (spatial) geophysical/geochemical scalar fields between grids of different resolutions. The algorithm handles data on rectangular latitude/longitude grids (not necessarily evenly spaced) and vertical pressure hybrid grids of arbitrary resolution. The input/output data format is netCDF.
  • Nick Yas'ko Products: Codes for ANSI control sequences, solving linear equations, and creating Poscript graphics.
  • Numerical Analysis: Codes for the book by Richard L. Burden and J. Douglas Faires.
  • Numerical Electromagnet Code (NEC) Archives: Code in Fortran, C, and Basic.
  • Numerical Methods: Fortran 90 codes for a course.
  • Numerical Methods: Code for algebraic and transcendental equations, systems of linear equations, interpolation routines, numerical integration, eigenvalues, and special functions, by Abdusamad Salih.
  • Numerical Methods and Software: Code from book and for nonlinear optimization and matrix equations, by Stephen Nash.
  • Numerical Recipes Home Page: Home of the Numerical Recipes series of books on scientific programming, including the Numerical Recipes On-Line Software Store, free upgrades and bug fixes, and the complete books on-line in PostScript and Acrobat formats. The Numerical Recipes code in Fortran 77 and Fortran 90 is not in the public domain.
  • Numerical and Statistical Codes: By Jean-Pierre Moreau.
  • OSCall: OS Command line interface utility for Compaq/Intel Visual Fortran with immediate return or wait specified in milliseconds (routine automatically quotes the command string).
  • Ooura's Mathematical Software Packages: Quadrature, FFT (1D & 2D), Bessel functions, and GAMERF (gamma and error functions, including quadruple precision).
  • Open-Source Software: Codes by Richard Brent for multiple precision arithmetic, uniform and normal random number generators, irreducible/primitive trinomials, and parallel sorting.
  • OpenMP Tutorial: Has examples of Fortran codes using the Message-Passing Interface (MPI).
  • OpenMP: Sample Programs: Two simple examples of Fortran 77 and 90 programs using the OpenMP API for shared-memory parallel programming.
  • Orderpack 1.0 sorting and ranking routines in Fortran 90: Public domain package by Michel Olagnon of general and specialized sorting and ranking routines in Fortran 90. Specialized routines include partial sorts, partial ranks, unique sorts, unique ranks, partial and unique sorts, as well as partial and unique ranks.
  • Overflow from Alan Miller's Fortran web site: Includes updates of some TOMS algorithms, logistic regression, a Fortran 90 version of the special functions from the NSWC (Naval Surface Warfare Center) Math. Library, quadruple precision using 10-byte reals for the NAS Fortran-Plus compiler giving about 38 decimal digit accuracy, and code for Imagine1's F compiler, including the author's least-squares package. F code should compile using any standard Fortran compiler.
  • PDEs and linear equations: Fortran and C codes by Dong Liang.
  • PNNL Fortran Library (FLIB): Mainly non-numeric library for handling text, including parsing, accessing the command line, dates and times, and some random number generation.
  • PORT Mathematical Subroutine Library: Collection of Fortran 77 routines that address many traditional areas of mathematical software, including approximation, ordinary and partial differential equations, linear algebra and eigensystems, optimization, quadrature, root finding, special functions, and Fourier transforms, but excluding statistical calculations. PORT stands for Portable, Outstanding, Reliable, and Tested.
  • PSIDE (Parallel Software for Implicit Differential Equations): Code for solving implicit differential equations on shared memory parallel computers, by Jacques J.B. de Swart, Walter M. Lioen, and Wolter A. van der Veen.
  • Panel Code (Aeronautics): By Professor Kevin D. Jones of the U.S. Naval Postgraduate School.
  • Parallel Sparse Symmetric Direct Solver (PSPASES): High performance, scalable, parallel, MPI-based library, intended for solving linear systems of equations involving sparse symmetric positive definite matrices. The library provides