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Numerical analysis techniques include finite difference analysis, finite element analysis, fast Fourier transforms, and related.

Finite_Elements_Analysis@	Fortran Source Code@
Companies	Fast Fourier Transforms
Software	Wavelets@

• Addix.Spline A comprehensive spline curve function library for creating and evaluating splines in Excel, VB and VBA. Free download of evaluation copy.
• AIPS - Astronomical Image Processing System [open source - Unix, and VMS] A software package for interactive (and, optionally, batch) calibration and editing of radio interferometric data and for the calibration, construction, display and analysis of astronomical images made from those data using Fourier synthesis methods.
• An Index to Numerical Methods in Pascal A comprehensive list including freeware, shareware and commercial packages.
• Astronomical Image Processing System A software package for calibration, data analysis, image display, plotting, etcetera on astronomical data.
• Astronomy and Numerical Source Codes Astronomical computations and mathematical functions source programs in C. Home page of the Cephes Mathematical Library.
• Boundary Element Method Resources: Acoustics, Laplace and Helmholtz Problems. Book, manuals, Fortran software (Free and to purchase).
• Boundary Element Method Fortran 77 codes to solve the Laplace and Helmoltz equations.
• Center for the Mathematics of Waves Includes the Finite Element/Nystrom Solver, a two dimensional coupled finite element / Nystrom solver for the Helmholtz equation.
• CSE - LANCELOT A standard fortran 77 package for solving large-scale nonlinearly constrained optimization problems. Free download by FTP.
• Decision Tree for Optimization Software Identify potential solution algorithms for your problems.
• Decision Tree for Optimization Software Ready to use solutions for optimization problems, or at least a way to build such a solution using work done by others. Where possible, public domain software is listed.
• Decision Tree for Optimization Software Linear and non-linear optimization, constrained and unconstrained. Mainly Fortran 77 but some in C.
• Discrete Fourier Series Transform Basic presentation of the discrete Fourier series transform. Explanations and formules. Raw source code to calculate numerical Fourier transforms.
• DONLP2 Software for nonlinear programming.
• DONLP2 Programs by Peter Spellucci for nonlinear programming.
• Easy-Fit Used to identify parameters in explicit model functions, dynamic systems of equations (steady-state), Laplace transforms, ordinary differential equations, differential algebraic equations and one-dimensional partial differential equations. Proceeding from given experimental data. For example, observation times and measurements, the minimum least squares distances of measured data from a fitting criterion are computed, that may depend on the solution of the dynamic system.
• FreeFEM Free general PDE solver driven by a user friendly language. Both a 2D and a 3D version are available. MacOS, Windows.
• Freely Available Software for the Solution of Linear Algebra Problems Software for high-performance computers available in source form for problems in numerical linear algebra, specifically dense, sparse direct and iterative systems and sparse iterative eigenvalue problems.
• Genetic Optimization Algorithm Freeware used to solve optimization problems with several real and binary parameters and non linear objective functions and constraints. Includes illustration of program and links to the author's other webpages.
• GNU Octave Free numerical analysis and visualization environment similar to Matlab.
• GNU Octave High-level language, primarily intended for numerical computations. Solves linear and nonlinear problems numerically, and uses a language that is mostly compatible with Matlab. It may also be used as a batch-oriented language.
• GNU Octave Repository Central location for custom scripts, functions and extensions to GNU Octave.
• HSL Archive HSL (formerly the Harwell Subroutine Library) is a collection of ISO Fortran codes for large scale scientific computation, written by members of the Numerical Analysis Group and other experts. Free download by FTP.
• Jean-Pierre Moreau's Home Page This private website is entirely dedicated to sources in numerical analysis in four languages: Basic, C++, Fortran and Pascal in Microsoft Windows environment.
• MAI Information Technology Numerical, statistical, and signal processing subroutine libraries optimised for OS/2 platforms.
• MEDEA: Matrix Exponential Differential Equation Algorithm Algorithm for the numerical integration of systems of ordinary differential equations arising in chemical problems. C ocde, free to use.
• METIS: Serial Graph/Mesh Partitioning & Sparse Matrix Ordering Graph, mesh, and hypergraph partitioning software. Free download, portable on most Unix systems that have an ANSI C compiler (e.g. GNU C).
• MIT Aero/Astro Scientific Visualization Visualization software developed at MIT.
• Netlib Repository of mathematical software in source code form, mostly in Fortran, though there is some in Matlab, C and other languages. Directories include Lapack (linear algebra, eigenvalues, and SVD), toms (Trans. on Math. Software), numeralgo (Numerical Algorithms), and 'PACKS such as MINPACK (minimization), QUADPACK (quadrature, integration), FFTPACK (Fast Fourier Transform), ODEPACK, and ODRPACK.
• Netlib Netlib is a collection of mathematical software, papers, and databases operated by ORNL and the University of Tennessee.
• Netlib Searchable repository of free numerical software.
• Newmat C++ Matrix Manipulation Library For the manipulation of matrices in the C++ language, oriented towards science and engineering applications.
• Newmat09: C++ Matrix Library Emphasis is on the kind of operations needed in statistical calculations such as least squares, linear equation solve and eigenvalues.
• Numerical Methods Notes and Fortran code on topics including: Finite elements, finite differences, boundary elements, integral equation methods, optimisation,linear systems, numerical integration, ODEs.
• Object-oriented Finite Element / Numerical Methods in C++ VectorSpace C++ Library for advanced numerical computation such as constrained optimization, variational methods, and computational mechanics.
• Ordinary Differential Equation System Solver A Java-Applet/Application for solving ODE systems.
• Reactor Simulation Editor, Introduction with Examples The Reactor Simulation Editor (rsedit) is a software package designed to solve finite difference equations in a simplified way. The tool kit includes: a geometry editor, data structure editors, equation editor and an HTML output library.
• Scientific Computing Software and Algorithms for linear and nonlinear inverse Problems: Computerized tomography, wavelet applications, statical computations, multi parameter fit and more
• SLEIGN2 FORTRAN programs for solving Sturm--Liouville equations.
• SLEIGN2 Code to compute eigenvalues and eigenfunctions of regular and singular self-adjoint Sturm-Liouville problems.
• Spline Curve Fit 3D Software for complex three dimensional surfaces.
• TeLa The tensor language. Scientific computing language and environment.
• Test Set for Initial Value Problem Solvers Test problems, experimental results from a number of proven solvers, solvers, subroutines providing a common interface and links for Initial Value Problems for ODEs, DAEs and IDEs.
• The Algae Programming Language A high-level interpreted language for numerical analysis. Free (GNU GPL).
• XR An implementation of exact real arithmetic in C++ by Keith Briggs.

 

 

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