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LINKS
Group One
Star Software - Star Science - Numerical Analysis

Center for the Mathematics of Waves http://www.math.udel.edu/research/wave_center/
Includes the Finite Element/Nystrom Solver, a two dimensional coupled finite element / Nystrom solver for the Helmholtz equation.

CSE - LANCELOT http://www.cse.clrc.ac.uk/nag/lancelot/lancelot.shtml
A standard fortran 77 package for solving large-scale nonlinearly constrained optimization problems. Free download by FTP.

Decision Tree for Optimization Software http://plato.la.asu.edu/guide.html
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.

Discrete Fourier Series Transform http://www.4p8.com/eric.brasseur/fouren.html
Basic presentation of the discrete Fourier series transform. Explanations and formules. Raw source code to calculate numerical Fourier transforms.

DONLP2 http://plato.la.asu.edu/donlp2.html
Software for nonlinear programming.




Aarseth's N-body software http://www.ast.cam.ac.uk/~sverre/
[open source - multiplatform] Direct N-body algorithms.

Barnes & Hut Treecode Algorithm http://www.ifa.hawaii.edu/~barnes/software.html
[open source - multiplatform] A guide to a tree code algorithm implementation, used for astronomical N-body simulations.

CAPGADGET http://www.geocities.com/capgadget
[open source - multiplatform] Visualization package to capture and display Gadget N-body simulations.

CFD codes list http://icemcfd.com/cfd/CFD_codes.html
A large list of commercial, public-domain and shareware Computational Fluid Dynamics codes.

COSMICS http://arcturus.mit.edu/cosmics/
Cosmological initial conditions and microwave anisotropy codes for cosmological modelling. COSMICS is a package of fortran-77 programs.




Laboratory for Computational Astrophysics http://zeus.ncsa.uiuc.edu:8080/lca_home_page.html
A joint project of the National Center for Supercomputer Applications and the Department of Astronomy of the University of Illinois.

N-Body/Particle Simulation Methods http://www.amara.com/papers/nbody.html
An extensive online tutorial with examples and code references.

NEMO http://bima.astro.umd.edu/nemo/
[open source - Unix] An extendible stellar dynamics toolbox; has various programs to create, integrate, analyze and visualize N-body and SPH-like systems. In addition there are various tools to operate on images, tables and orbits, including FITS files to export/import to/from other astronomical data reduction packages.

ORSA - Orbit Reconstruction, Simulation and Analysis http://orsa.sourceforge.net
ORSA is a C++ framework for the development of algorithms and programs oriented to the simulation and analysis of the orbital evolution of bodies in space.

Stellar Astrophysics Software http://grnwd.tripod.com/thelostchord.html
[open source - Windows] Various programs for stellar astrophysics. Includes CHANDRA stellar structure software for collapsed objects including rotating white dwarfs and neutron stars, and STARCAL for nuclear astrophysics and the stellar structure of main sequence stars with supernova forecasting.




Addix.Spline http://www.addix.com/products/spline/overview.html
A comprehensive spline curve function library for creating and evaluating splines in Excel, VB and VBA. Free download of evaluation copy.

An Index to Numerical Methods in Pascal http://www-rab.larc.nasa.gov/nmp/nmpIndex.htm
A comprehensive list including freeware, shareware and commercial packages.

Astronomical Image Processing System http://www.cv.nrao.edu/aips/
A software package for calibration, data analysis, image display, plotting, etcetera on astronomical data.

Astronomy and Numerical Source Codes http://www.moshier.net/
Astronomical computations and mathematical functions source programs in C. Home page of the Cephes Mathematical Library.

Boundary Element Method http://www.boundary-element-method.com/
Resources: Acoustics, Laplace and Helmholtz Problems. Book, manuals, Fortran software (Free and to purchase).




Easy-Fit http://www.uni-bayreuth.de/departments/math/~kschittkowski/easy_fit.htm
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 http://www.freefem.org/
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 http://www.netlib.org/utk/people/JackDongarra/la-sw.html
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 http://www.geocities.com/geneticoptimization
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 http://www.octave.org/
Free numerical analysis and visualization environment similar to Matlab.



GNU Octave Repository http://octave.sourceforge.net/
Central location for custom scripts, functions and extensions to GNU Octave.

Jean-Pierre Moreau's Home Page http://perso.wanadoo.fr/jean-pierre.moreau/
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 http://www.marschall-acoustics-instruments.com.au/MAI-IT
Numerical, statistical, and signal processing subroutine libraries optimised for OS/2 platforms.

MatLinks Software Network http://matlinks.net/
Providing the MatLinks ToolChest and Chorus ToolBox, peer-reviewed GNU Octave and Matlab/Simulink toolsuites under active development by scientists and engineers around the world.

MEDEA: Matrix Exponential Differential Equation Algorithm http://www.caspur.it/~castri/MEDEA/index.htm
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 http://www-users.cs.umn.edu/~karypis/metis/metis/
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 http://raphael.mit.edu/haimes.html
Visualization software developed at MIT.

Netlib http://www.netlib.org/
Searchable repository of free numerical software.

Newmat C++ Matrix Manipulation Library http://www.robertnz.net/nm_intro.htm
For the manipulation of matrices in the C++ language, oriented towards science and engineering applications.

Numerical Methods http://www.numerical-methods.com/
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++ http://www.vector-space.com/
VectorSpace C++ Library for advanced numerical computation such as constrained optimization, variational methods, and computational mechanics.

Ordinary Differential Equation System Solver http://damato.light-speed.de/dessolver/
A Java-Applet/Application for solving ODE systems.

Reactor Simulation Editor, Introduction with Examples http://www.cas.mcmaster.ca/~gilbert/rse_intro/
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 http://www.isca-louis.com/
Software and Algorithms for linear and nonlinear inverse Problems: Computerized tomography, wavelet applications, statical computations, multi parameter fit and more

SLEIGN2 http://www.math.niu.edu/~zettl/SL2/
FORTRAN programs for solving Sturm--Liouville equations.




Spline Curve Fit 3D http://www.geocities.com/mdcaero/index2.html
Software for complex three dimensional surfaces.

TeLa http://www.geo.fmi.fi/prog/tela.html
The tensor language. Scientific computing language and environment.

Test Set for Initial Value Problem Solvers http://pitagora.dm.uniba.it/~testset
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 http://www.eskimo.com/~ksh/algae/index.html
A high-level interpreted language for numerical analysis. Free (GNU GPL).

XR http://members.lycos.co.uk/keithmbriggs/XR.html
An implementation of exact real arithmetic in C++ by Keith Briggs.




985



 



Aarseth's N-body software http://www.ast.cam.ac.uk/~sverre/
[open source - multiplatform] Direct N-body algorithms.

Barnes & Hut Treecode Algorithm http://www.ifa.hawaii.edu/~barnes/software.html
[open source - multiplatform] A guide to a tree code algorithm implementation, used for astronomical N-body simulations.

CAPGADGET http://www.geocities.com/capgadget
[open source - multiplatform] Visualization package to capture and display Gadget N-body simulations.

CFD codes list http://icemcfd.com/cfd/CFD_codes.html
A large list of commercial, public-domain and shareware Computational Fluid Dynamics codes.

COSMICS http://arcturus.mit.edu/cosmics/
Cosmological initial conditions and microwave anisotropy codes for cosmological modelling. COSMICS is a package of fortran-77 programs.




Laboratory for Computational Astrophysics http://zeus.ncsa.uiuc.edu:8080/lca_home_page.html
A joint project of the National Center for Supercomputer Applications and the Department of Astronomy of the University of Illinois.

N-Body/Particle Simulation Methods http://www.amara.com/papers/nbody.html
An extensive online tutorial with examples and code references.

NEMO http://bima.astro.umd.edu/nemo/
[open source - Unix] An extendible stellar dynamics toolbox; has various programs to create, integrate, analyze and visualize N-body and SPH-like systems. In addition there are various tools to operate on images, tables and orbits, including FITS files to export/import to/from other astronomical data reduction packages.

ORSA - Orbit Reconstruction, Simulation and Analysis http://orsa.sourceforge.net
ORSA is a C++ framework for the development of algorithms and programs oriented to the simulation and analysis of the orbital evolution of bodies in space.

Stellar Astrophysics Software http://grnwd.tripod.com/thelostchord.html
[open source - Windows] Various programs for stellar astrophysics. Includes CHANDRA stellar structure software for collapsed objects including rotating white dwarfs and neutron stars, and STARCAL for nuclear astrophysics and the stellar structure of main sequence stars with supernova forecasting.




Addix.Spline http://www.addix.com/products/spline/overview.html
A comprehensive spline curve function library for creating and evaluating splines in Excel, VB and VBA. Free download of evaluation copy.

An Index to Numerical Methods in Pascal http://www-rab.larc.nasa.gov/nmp/nmpIndex.htm
A comprehensive list including freeware, shareware and commercial packages.

Astronomical Image Processing System http://www.cv.nrao.edu/aips/
A software package for calibration, data analysis, image display, plotting, etcetera on astronomical data.

Astronomy and Numerical Source Codes http://www.moshier.net/
Astronomical computations and mathematical functions source programs in C. Home page of the Cephes Mathematical Library.

Boundary Element Method http://www.boundary-element-method.com/
Resources: Acoustics, Laplace and Helmholtz Problems. Book, manuals, Fortran software (Free and to purchase).




Center for the Mathematics of Waves http://www.math.udel.edu/research/wave_center/
Includes the Finite Element/Nystrom Solver, a two dimensional coupled finite element / Nystrom solver for the Helmholtz equation.

CSE - LANCELOT http://www.cse.clrc.ac.uk/nag/lancelot/lancelot.shtml
A standard fortran 77 package for solving large-scale nonlinearly constrained optimization problems. Free download by FTP.

Decision Tree for Optimization Software http://plato.la.asu.edu/guide.html
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.

Discrete Fourier Series Transform http://www.4p8.com/eric.brasseur/fouren.html
Basic presentation of the discrete Fourier series transform. Explanations and formules. Raw source code to calculate numerical Fourier transforms.

DONLP2 http://plato.la.asu.edu/donlp2.html
Software for nonlinear programming.




Easy-Fit http://www.uni-bayreuth.de/departments/math/~kschittkowski/easy_fit.htm
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 http://www.freefem.org/
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 http://www.netlib.org/utk/people/JackDongarra/la-sw.html
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 http://www.geocities.com/geneticoptimization
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 http://www.octave.org/
Free numerical analysis and visualization environment similar to Matlab.



GNU Octave Repository http://octave.sourceforge.net/
Central location for custom scripts, functions and extensions to GNU Octave.

Jean-Pierre Moreau's Home Page http://perso.wanadoo.fr/jean-pierre.moreau/
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 http://www.marschall-acoustics-instruments.com.au/MAI-IT
Numerical, statistical, and signal processing subroutine libraries optimised for OS/2 platforms.

MatLinks Software Network http://matlinks.net/
Providing the MatLinks ToolChest and Chorus ToolBox, peer-reviewed GNU Octave and Matlab/Simulink toolsuites under active development by scientists and engineers around the world.

MEDEA: Matrix Exponential Differential Equation Algorithm http://www.caspur.it/~castri/MEDEA/index.htm
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 http://www-users.cs.umn.edu/~karypis/metis/metis/
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 http://raphael.mit.edu/haimes.html
Visualization software developed at MIT.

Netlib http://www.netlib.org/
Searchable repository of free numerical software.

Newmat C++ Matrix Manipulation Library http://www.robertnz.net/nm_intro.htm
For the manipulation of matrices in the C++ language, oriented towards science and engineering applications.

Numerical Methods http://www.numerical-methods.com/
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++ http://www.vector-space.com/
VectorSpace C++ Library for advanced numerical computation such as constrained optimization, variational methods, and computational mechanics.

Ordinary Differential Equation System Solver http://damato.light-speed.de/dessolver/
A Java-Applet/Application for solving ODE systems.

Reactor Simulation Editor, Introduction with Examples http://www.cas.mcmaster.ca/~gilbert/rse_intro/
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 http://www.isca-louis.com/
Software and Algorithms for linear and nonlinear inverse Problems: Computerized tomography, wavelet applications, statical computations, multi parameter fit and more

SLEIGN2 http://www.math.niu.edu/~zettl/SL2/
FORTRAN programs for solving Sturm--Liouville equations.




Spline Curve Fit 3D http://www.geocities.com/mdcaero/index2.html
Software for complex three dimensional surfaces.

TeLa http://www.geo.fmi.fi/prog/tela.html
The tensor language. Scientific computing language and environment.

Test Set for Initial Value Problem Solvers http://pitagora.dm.uniba.it/~testset
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 http://www.eskimo.com/~ksh/algae/index.html
A high-level interpreted language for numerical analysis. Free (GNU GPL).

XR http://members.lycos.co.uk/keithmbriggs/XR.html
An implementation of exact real arithmetic in C++ by Keith Briggs.




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