Open Source Fortran Mathematics Software - Page 3

Nonlinear Krylov Acceleration (NKA) is a method for accelerating the convergence of fixed-point (Picard) iterations. Many Newton-like and inexact Newton methods are fixed point iterations. The NKA project provides the canonical implementation of the method for several programming languages. The black-box accelerator is simple to integrate into existing code. Placed in the iteration loop, it observes the sequence of solution updates and replaces them with improved updates using information it has gleaned from previous solution iterates. It was only recently recognized (2011) that NLK is essentially equivalent to Anderson Acceleration for a specific choice of mixing parameter. NLK was independently devised in the late 1980's using a very different approach, and though it leads to the same algebraic method, NLK's organization is somewhat different, and arguably superior. The NLK approach also provides clear rationale for the proper choice of Anderson's arbitrary mixing parameter.

A Python environment for large and sparse linear and nonlinear optimization using intuitive interfaces to linear algebra tools and subproblem solvers written in low-level languages. It provides building blocks to experiment with new ideas and algorithms.

Numerikus is an attempt to build a set of numerical libraries written in C/C++, Fortran, Java and C# for single processor and multi-core processors. It wil have from basic functions to Linear Algebra solvers and ODE's and PDE's methods.

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!)

The Open Source Space Flight Dynamics (OSSFD) project is intended to provide the community with an open source solution to space flight dynamics.

The goal of this project is to produce a CAx-System for all people. Definition of CAx: en: http://en.wikipedia.org/wiki/CAx de: http://de.wikipedia.org/wiki/CAx

In many parallel scientific applications the process of grid generation, decomposition, message passing, and performance measurements are of similar stucture. The projects intention is to develop a generic function library that will contain all these.

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

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.

Rasp is a spatial statistics package for the R project.

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.

SPHear is a coupled smoothed particle hydrodynamics (SPH), finite element (FE) fluid-solid interaction analysis code for dynamic problems.

Sempy is a Python package for the solution of partial differential equations using the spectral element method.

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.

Suprangen is a system of libraries of pseudorandom number generators for Monte Carlo simulation and similar applications. It includes uniform and normal double precision generators with 32 or 52 random bits, Fortran 90 interfaces, and interfaces to GSL.

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

TRAPEX - solution of quadrature problems on finite intervals using trapezoidal sums with polynomial extrapolation and adaptive order and stepsize control.

Ordinary Differential Equation (ODE) solver for Tcl. Handles both stiff and non-stiff sets of equations; does time-evolved initial value problems and root finding. Based on the popular Lawrence Livermore solver LSODE.

CMATLIB is set of libraries for writing numerical applicatons. It includes support for neural-networks, hidden Markov models, kd-trees, and data smoothing. It may be used from C and Scheme programs.

Two dimensional (2D) fine mesh finite element (FE) grid editing system. Includes constrained Delaunay triangulation, and automated grid resolution changes based on local attributes. Win32 and Motif GUIs. Mature application, now going open source.

sparse linear algebra library, with emphasis on preconditioned Krylov subspace methods for the solution of linear systems of equations

VectTens is an object-oriented numerical library designed to manipulate vectors, tensors, and other mathematical quantities in a simple and efficient manner.

Ein Projekt zur mathematischen Betrachtung moderner kryptographischen Verfahren und von Laplaceschen Fraktalen mit Fraktionellen Ableitungen. Das Projekt ist für die Forschung und nicht für kommerziellen Einsatz gedacht.

This script fills in a two dimensional surface with an unbroken, non-overlapping path. The path direction is random, so one can imaging a chess board filled with dominos, with the constraint that the layout of the dominos is complete (board is filled) an

A command line calculator capable of complex arithmetics.