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.

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.

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

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

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.

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

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.

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.

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

Hy3S uses advanced MPI parallelized hybrid stochastic simulation methods to quickly compute the dynamics of biochemical networks with thousands of species/reactions. Many features included (see Home Page). An easy-to-use GUI (Matlab req) is included.

High order finite-volume scheme for solving Maxwell's equations on arbitrary 3D domains. This SF project was created mainly for a backup.

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!)

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.

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 ...

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.

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.

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/.

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.