Open Source Fortran Mathematics Software

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.

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

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.

Matlab alternative. Scilab alternative. GNU Octave alternative. Mathematics software for numerical computation. Ordinary differential equations solver and finite elements solver. It has a console script interpreter, as well as a graphical interface script interpreter, for entering equations and statements, and a line plot display.

Runge is an Interactive Solver for Systems of Ordinary Differential Equations. It solves initial value problem (aka Cauchy problem). Few advantages Runge provides: It's fast. It utilizes BLAS and LAPACK libraries optimized for modern multi-core processors. It's interactive. It allows you to start a solution by mouse click on a plane. It's precise. It uses Runge Rule to adjust step length to satisfy required precision on each step. It's effective. When it needs to compute derivatives (Jacobian matrix, for example) it does that analytically, i.e. without using numerical methods. It's portable. It works on Windows and Linux 32 and 64 bit and Mac OS X 64 bit. It's open. It allows you to implement and embed your own algorithms (aka "solvers"). It's easy to use. It allows to export results to MS Excel and MATLAB. It's multilingual. It currently supports Englis and Russian languages. It's free. It's distributed under the Boost Software License.

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.

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.

This project provides a Fortran90 library and a python module for singular spectrum analyses such as PCA/EOF or MSSA. It is intended for people interested, for example, in analysing climate or financial variability.

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.

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.

A MEX-based Toolbox for MATLAB(R) for fast interpolation of 1D, 2D & 3D points, clouds and grids. It's a port of EZspline, a Fortran 90 module interface to the PSPLINE library from the National Transport Code Collaboration developed at the Princeton Plasma Physics Laboratory.

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!)

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

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.

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.

A 2-D inviscid flow and adjoint solver on unstructured triangular grids. It makes use of a vertex-centroid finite volume scheme which is second order accurate. The adjoint solver is developed using the automatic differentiation tool called TAPENADE. Code has been moved to https://github.com/cpraveen/euler2d

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.

This software has moved to http://www.poissonboltzmann.org/.

Computational modelling is a interdisciplinary field spanning many techniques and programming languages. AgenTools is a project dedicated to establishing increased modularity in scientific computing packages and a portal linking to other existing project

This library provides OCaml-interfaces to the BLAS- and LAPACK libraries.

The aim of this project is to translate the geostatistical BMELib Matlab Toolbox (http://www.unc.edu/depts/case/BMELIB/) into Python.

Problem Solving Environment (PSE) for Data Assimilation and Model Calibration