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.

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

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

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.

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.

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.

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.

A High-Order Multi-Variate Approximation Scheme for Arbitrary Data Sets, C implementation of the method described in http://web.mit.edu/qiqi/www/paper/interpolation.pdf, with Python and Fortran interfaces.

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!)

libdspl-2.0 — opensource cross-platform digital signal processing algorithm library, written in C language. Distributed under LGPL v3 license. This allows to use this library in all applications with dynamic linking.

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.

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

Taylor series Integrator for Differential EquationS. This software is developed by Profs. A. Abad, R. Barrio, F. Blesa and M. Rodriguez, (GME, University of Zaragoza, Spain). It consists on a C (Fortran) library, libTIDES, and a Mathematica package, MathTIDES. (MathTIDES requires Mathematica version >= 7.0) . Basic references: * A. Abad, R. Barrio, F. Blesa, M. Rodriguez, 2012. Algorithm 924: TIDES, a Taylor series Integrator for Differential EquationS, ACM TOMS. 39, no. 1, art. 5. (Main reference) * A. Abad, R. Barrio, F. Blesa, M. Rodriguez, 2011. TIDES tutorial: Integrating ODEs by using the Taylor Series Method., Monografías de la Academia de Ciencias de la Universidad de Zaragoza. 36, pp. 1-116. * R. Barrio, 2005. Performance of the Taylor series method for ODEs/DAEs, Appl. Math. Comput. 163 (2), pp. 525--545 * R. Barrio, 2006. Sensitivity analysis of ODE's/DAE's using the Taylor series method, SIAM J. on Scientific Computing 27 (6), pp. 1929--1947

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.

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.

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 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

This software is a computer program whose purpose is to fortran mathematics library and some solve linear equation in high performance computing. I create this software for for my last year of engineer school (Scientific Computing Option)

hybopt is a set of libraries to solve the identification and optimal control problems for hybrid (mechanistic/empirical) dynamic (ODE and DAE) models.

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

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