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Special Functions
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Statistics and Econometrics
(115)
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/
KDTREE 2: Fortran 95 and C++ software to efficiently search for near
By Matthew B. Kennel. Accompanying paper is at http://adsabs.harvard.edu/abs/2004physics...8067K.
Software by P.B. Stark and Coauthors
Bvls.f solves least-squares problems with bounds on the variables. Qr.f computes QR decompositions in a stable way. Sbl1.f finds bounds on linear functionals of an n-vector subject to an l1 constraint on the misfit to a set of linear relations, and linear inequality constraints on the variables. Sbvq.f finds bounds on linear functionals of an n-vector subject to a quadratic constraint on the misfit to a set of linear relations, and linear inequality constraints on the variables.
Numerical Methods
Code by John H. Matthews to accompany the book Numerical Methods for Mathematics, Science, and Engineering, Second Edition.
Wavelet Analysis
Code to accompany book by Christopher Torrence and Gilbert P. Compo.
Multivariate Normal Probabilities and Quadratic Assignment Problems
Codes by Professor Zvi Drezner.
Applied Numerical Methods for Scientists and Engineers
Fortran and C code from book by Singiresu Rao.
GBYTES/SBYTES Library
Packages to handle binary unpacking and packing, in Fortran 77 and 90.
Memory Leaks
Fortran 90 test program by Arjen Markus to see if memory leaks originating from derived-types can be circumvented.
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.
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.
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.
Daniel A. Steck
Fortran 90 codes to integrate Ito stochastic differential equations, generate random numbers, compute the FFT, and time programs.
David Frank
Codes for a number-crunching benchmark, reading Internet URL addresses, and partially convertng C code to Fortran 90.
Cligen Weather Generator
Fortran 77 code to simulate weather, with associated data files.
Alan R. Miller
Code from the book "Fortran Programs for Scientists and Engineers", 2nd. ed. (1988).
Numerical Methods and Software
Code from book and for nonlinear optimization and matrix equations, by Stephen Nash.
xmlf90, an XML parser in Fortran90
Written by Alberto Garcia in the F subset of Fortran 95, freely available under the BSD license.
Gridpak
Package for curvilinear orthogonal grid generation, which creates an orthogonal grid when provided with boundary information.
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.
Ani2D
Fortran 77 package to generate unstructured triangular meshes adapted to a solution function defined at mesh nodes.
StopWatch
Fortran 90 module, by William Mitchell, for measuring execution time of program segments. It is designed to be a portable, easy-to-use means of measuring execution time.
FXDR
Library by David W. Pierce that allows calls to the XDR (eXternal Data Representation) routines from Fortran.
BLUPF90 family of programs
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.
XML
Module by Mart Rentmeester that reads and interprets XML in standard Fortran 95. Also at the site is code for varying length strings, the complementary error function, an interface to the GD Graphics Library, and nucleon-nucleon potential models.
Optimal interpolation Fortran module with Octave interface
Fortran 90 module to perform am n-dimensional optimal interpolation (OI). The optimal interpolation allows one to interpolate arbitrarily located observations to a regular grid using a background field as first guess.
Stefan Goedecker's Free Software
Fast Fourier Transforms and Silicon interatomic potentials.
Numerical and Statistical Codes
By Jean-Pierre Moreau.
Texas KZK Time Domain Code
Fortran 77 time-domain computer code to model axisymmetric sound beams in fluids. The code is based on an augmented KZK equation that accounts for nonlinearity, diffraction, thermoviscous absorption, and absorption and dispersion due to an arbitrary number of relaxation phenomena.
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.
Twist: a Compression Utility
Compression tool tailored for fields where node-to-node variations are small, and where undefined (dry) nodes are abundant.
Fast Wavelet Transform
By Rick Ottolini, based on an article by Gilbert Strang.
Benchmarks of N. Tajima
Codes to time floating point and integer arithmetic, intrinsic functions, and random access to memory.
Arithmetic with Error Bounds
Fortran 90 code by Abraham Agay.
Introduction to F
Examples of the F (Fortran 95 subset) language, by Harvey Gould.
LIBXML2F90
A Fortran 90 library by Alexander Poddey to access (read and write) XML (and similar) structured files via a linked list. This is conceptually different from the SAX approach. The data can be held and 'browsed' in memory.
XML-Fortran
Aims to be a library that allows programmers to access XML files.
Starlink
Astronomy software, much in Fortran.
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.
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.
Dan Nagle (Purple Sage Consulting) code
Fortran Portability Project, Fortran 2003 examples, and Fortran modules.
Token
Fortran 77 string tokenizer, similar to the C function.
Weekday
Fortran 77 code to compute the day of the week of a date using the Zeller congruence algorithm.
Open-Source Software
Codes by Richard Brent for multiple precision arithmetic, uniform and normal random number generators, irreducible/primitive trinomials, and parallel sorting.
XFOIL
Interactive program in Fortran 77 and C for the design and analysis of subsonic isolated airfoils, released under the GNU General Public License.
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).
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].
Panel Code (Aeronautics)
By Professor Kevin D. Jones of the U.S. Naval Postgraduate School.
Introduction to Scientific Computing
Fortran and C codes in gzipped tar file from book by Brigitte Lucquin and Olivier Pironneau.
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.
RIM: Computing the Acoutic Field Surrounding a Vibrating Plate
Shareware by Stephen Kirkup.
Collaborative Computational Projects
Links to chemistry, physics, and engineering codes, many in Fortran.
Numerical Methods
Fortran 90 codes for a course.
Combinatorial algorithms
Generation of subsets and permutations, Hamiltonian cycles, determinants and permanents, network flow, and minimum spanning trees.
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.
OpenMP Tutorial
Has examples of Fortran codes using the Message-Passing Interface (MPI).
Fortran CGI
Fortran 77 CGI examples using GET and POST.
High Performance Finite Elements
Fortran 77 and 90 codes.
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.
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.
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.
ISO Varying String
Implemented in the F subset by Rich Townsend.
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).
ShareBufferWin32
Easy Inter-Process Shared Memory Communication Utilities for Win32 using a simple Fortran 77-style interface. Written for Compaq Visual Fortran by Gary Scott.
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.
Fortran Library Links
Gary Scott's collection of source code links.
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.
Fortran Resources - Garnatz and Grovender
Keyed file shareware in Fortran 90 and 77, Fortran 90 interface to the X Window system.
Utilities in Fortran 90
Fortran 90 code by Michel Olagnon: pre-processor and pretty-printer, with command-line interface for Unix, fsplit utility for splitting large files into separate ones for each procedure, PostScript converter, interface bloc generator, and format creator for numeric strings.
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.
Jeff Cameron's Fortran code
Code for the VMS operating system and for a fractal figure called Sierpinski's Gasket.
Introducing Fortran 95
Code from the book by Ian Chivers and Jane Sleightholme.
Fortran code
Fortran 77 codes by Daniel Powers for optimization and statistics.
Tomasz Plewa's Numerical methods directory
Directory of links to numerical analysis sites, many of which contain software.
Lahey's Fortran Code Repository
Fortran codes for various tasks.
Fortran Resources (Lahey)
A collection of links provided by a vendor of Fortran compilers.
Ernesto Martin's codes
Random generator networks and other algorithms.
PsSchur
Computes the periodic real Schur decomposition of a matrix product. By Kurt Lust.
Peter Benner Fortran 77 code
SLICOT Subroutine Library in Control Theory, Parallel Library in Control (PLiC) for large-scale time-invariant linear control systems in state-space form on parallel distributed computers, eigenvalues of Hamiltonian Matrices, subroutines for compressing a symmetric or triangular matrix to packed storage mode or to unpack a packed array to full storage mode, benchmark examples of discrete-time algebraic Riccati equations, benchmark examples of continuous-time algebraic Riccati equations.
Finite Elements
Fortran 90 code by Jacques Laminie.
BIEPACK
Code for boundary integral equations, by Kendall E. Atkinson.
Prime
Counts prime numbers.
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.
PDEs and linear equations
Fortran and C codes by Dong Liang.
MathFinance - Financial Functions Library
Fortran 90 code for the Cox-Ross-Rubinstein binomial model, the analytic Black-Scholes formula, and Monte Carlo Simulation.
Free Software (of Craig C. Douglas)
Fortran and C codes for fast matrix multiplication and multigrid solution of PDEs.
G77_i386_fpe_demo
Demonstrates handling of floating point exceptions under g77/i386/Linux. By Tom Crane.
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.
Selected Publications and Unpublished Software of Patrick Keast
Code for partial differential equations, quadrature, and the solution of linear systems, with associated papers.
Fortran 90 Software Repository
Has short, concise examples of specific features of the Fortran 90, 95 or 2003 language.
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.
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.
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.
Public Domain Aeronautical Software (PDAS)
Programs for aeronautical engineering, many from NASA or USAF, complete with public domain source code, instructions and sample cases on CD-ROM. [Commercial]
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.
Examples
Fortran 90 codes from introductory course by John Mahaffy.
Neural Network Source Code in Fortran 90
Free code to help you develop neural networks.
Problem Generators
Generators for linear ordering and clustering problems, by John E. Mitchell.
Numerical Electromagnet Code (NEC) Archives
Code in Fortran, C, and Basic.
Sugihara's Integer-Arithmetic Geometric Software
Geometric Software (by Kokichi Sugihara) for Voronoi diagrams in 2D and 3D, and convex hulls in 3D and 4D.
Utility Code
Fortran 95 code by Paul van Delst for type kinds, comparing floating numbers, error handlers, file processing, endian conversion, list processing, string processing, dates, and fundamental constants.
Fast Hankel Transform
By Steve Sheng -- further details can be found in his dissertation.
Wild-card String Matching
Fortran 77 code by Clive Page to do wild-card matching to a pattern, which may contain "?" to match any single character, and "*" to match zero or more consecutive characters of any type.
Various Fortran 90 modules
Code for sets, graphs, multi-precision integers, and polynomials.
Iounits.f
Fortran 77 module to automatically assign i/o unit numbers, by Judah Milgram.
Nick Yas'ko Products
Codes for ANSI control sequences, solving linear equations, and creating Poscript graphics.
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
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.
TRIMHAP
Implements linkage disequilibrium mapping techniques.
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.
F2KCLI
Implements the draft F2K standard for accessing the command line and arguments. Site answers questions and lists supported compilers and platforms.
TLM3D
Code by J. L. Herring for transmission line modelling of electromagnetic fields in 3-dimensions using the symmetrical condensed node.
Fortran 77 Codes
Programs by Niklaus Zimmermann for climate data analysis, moving window regression, soil profile analysis, and testing predictive (simulated) maps.
Hello, World
Example of simple program in Fortran.
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