Open Source Fortran Mathematics Software

Elmer is a finite element software for numerical solution of partial differential equations and multiphysical problems. It includes models of structural mechanics, fluid dynamics, heat transfer, electromagnetics etc. Elmer home is www.csc.fi/elmer

Freemat is an interpreted, matrix-oriented development environment for engineering and scientific applications, similar to the commercial package MATLAB. Freemat provides visualization, image manipulation, and plotting as well as parallel programming.

ATLAS (Automatically Tuned Linear Algebra Software) provides highly optimized Linear Algebra kernels for arbitrary cache-based architectures. ATLAS provides ANSI C and Fortran77 interfaces for the entire BLAS API, and a small portion of the LAPACK AP

The PDL module gives standard perl the ability to COMPACTLY store and SPEEDILY manipulate the large N-dimensional data sets that are the bread and butter of scientific computing.

qrupdate is a Fortran library for fast updates of QR and Cholesky decompositions.

AUTO is a publicly available software for continuation and bifurcation problems in ordinary differential equations originally written in 1980 and widely used in the dynamical systems community.

Wings for NONMEM (wfn) is a set of DOS batch files and awk scripts to make the use of NONMEM more convenient. Simpler NONMEM execution: nmgo runname Extended control stream with user defined names for THETA(), etc. Automatic structured output ...

Algae is a programming language for numerical analysis. We wrote it because we needed a fast and versatile tool, capable of handling large systems. Algae has been applied to interesting problems in aerospace and related fields for more than a decade.

MaxFem is an open software package for electromagnetic simulation by using finite element methods. The package can solve problems in electrostatics, direct current, magnetostatics and eddy-currents. Since version 0.4.0, MaxFEM requires Python 3. We have moved the installers to the MaxFEM website (see below). In order to improve MaxFEM, we will require you to fill out a simple form before downloading them.

This will be a place to release tools that have not yet been added to SciPy (or will not be added for whatever reason). Currently an interface to ImageMagick is here.

This library is a Fortran 95 gnuplot interface for some Unix like OS'es. This provides some routines that enables direct access of a child gnuplot session from a Fortran 95 program. You will need a copy of fortranposix to make this work.

F2what is an open source project to translate algorithmic fortran to a variety of languages (java, dotnet and VBA so far). It offers a Fortran77 parser with code transformations, variable disambiguation, and modular output to other programming languages. It also offers already translated versions of Lapack and quadprog to Java, .Net and VBA, to give access to SVD, LU, QR, Cholesky, eigenvalue decomposition, linear system solving and QP optimization in those three languages.

librsb is a library for sparse matrix computations featuring the Recursive Sparse Blocks (RSB) matrix format. This format allows cache efficient and multi-threaded (that is, shared memory parallel) operations on large sparse matrices. The most common operations necessary to iterative solvers are available, e.g.: matrix-vector multiplication, triangular solution, rows/columns scaling, diagonal extraction / setting, blocks extraction, norm computation, formats conversion. The RSB format is especially well suited for symmetric and transposed multiplication variants. On these variants, librsb has been found to be faster than Intel MKL's implementation for CSR. Most numerical kernels code is auto generated, and the supported numerical types can be chosen by the user at build time. librsb implements the Sparse BLAS standard, as specified in the BLAS Forum documents.

FFTW++ is a C++ header class for the FFTW Fast Fourier Transform library that automates memory allocation, alignment, planning, wisdom, and communication on both serial and parallel (OpenMP/MPI) architectures. In 2D and 3D, hybrid dealiasing of convolutions substantially reduces memory usage and computation time. Wrappers for C, Python, and Fortran are included.

FLENS (Flexible Library for Efficient Numerical Solutions) is a C++ library for scientific computing. It can be considered as a very convenient and --- at the same time --- extremely efficient interface for BLAS and LAPACK. But it is much more than this

PsiLAB is an environment for scientific research, numerical calculations and generic data analysis. It's written in the functional language O'CaML.

Fortran 2008 added 3 new intrinsic functions: erf, erfc, erfc_scaled. However, they take only real arguments. This package provides a BSD licensed Fortran 2008 module with erf(z), where z is a complex argument. The calculation is based on calculating w(z), the Faddeyeva (plasma dispersion) function. Two algorithms are implemented: TOMS 680 and 916, http://www.netlib.org/toms/. The simple test program calculates values in the Abramowitz, Stegun.

Generic data-assimilation toolbox written in java, with native (c and fortran) libraries for high performance computing. Provides tools to couple to your own model and a wide range of algorithms, ranging from parameter calibration to Kalman filters.

Ani3D provides portable libraries for each step in the numerical solution of systems of PDEs with variable tensorial coefficients: (1) unstructured adaptive mesh generation, (2) metric-based mesh adaptation, (3) finite element discretization and interpolation, (4) algebraic solvers.

The DUNS (Diagonalized Upwind Navier-Stokes)code is a 2D/3D, structured, multi-block, multi-species,reacting, steady/unsteady, Navier Stokes fluid dynamics code with q-omega turbulence model. It currently uses a diagonalized ADI procedure with upwind diff

Diofantos is a library for the solution of equations that arise in physics. It deals with ordinary differential equations (ODE), partial differential equations (PDE), including grid generation, and integral equations.

The Optimized Sparse Kernel Interface (OSKI) Library provides automatically tuned sparse matrix kernels, for use by solver libraries and applications. OSKI is part of the BeBOP project on performance tuning and analysis at U.C. Berkeley. (Go Bears!)

Framework for blockstructured adaptive finite volume methods. Provides MPI-parallelized variant of the Berger-Oliger AMR algorithm for Beowulf-clusters. Uses Clawpack. Visualization and conversion tools for HDF4 files included.

The purpose of this project was to prepare gfortran for integration into gcc. Since this integration was completed in the summer of 2003, this project is now finished. You can find information about gfortran on http://gcc.gnu.org/wiki/GFortran/

The hsdar package contains classes and functions to manage, analyse and simulate hyperspectral data. These might be either spectrometer measurements or hyperspectral images through the interface of rgdal.