BibSonomy ::  user :: thorade ::

Here you can curve fit and surface fit your 2D and 3D data online with a rich set of error histograms, error plots, curve plots, surface plots, contour plots, VRML, auto-generated source code, and PDF file output. If you're looking for quality curve fitting and surface fitting, this is the site for you! Source code is available at the Google Code Repository. To begin, select an equation family from the drop-down menus above or try the "Function Finders" to help determine the best curve fit for your data.

The GNU Scientific Library (GSL) is a numerical library for C and C++ programmers. It is free software under the GNU General Public License. The library provides a wide range of mathematical routines such as random number generators, special functions and least-squares fitting. There are over 1000 functions in total with an extensive test suite. The complete range of subject areas covered by the library includes, Complex Numbers Roots of Polynomials Special Functions Vectors and Matrices Permutations Sorting BLAS Support Linear Algebra Eigensystems Fast Fourier Transforms Quadrature Random Numbers Quasi-Random Sequences Random Distributions Statistics Histograms N-Tuples Monte Carlo Integration Simulated Annealing Differential Equations Interpolation Numerical Differentiation Chebyshev Approximation Series Acceleration Discrete Hankel Transforms Root-Finding Minimization Least-Squares Fitting Physical Constants IEEE Floating-Point Discrete Wavelet Transforms Basis splines Unlike the licenses of proprietary numerical libraries the license of GSL does not restrict scientific cooperation. It allows you to share your programs freely with others.

Rules from the book by M. Tribus are explored to deduce specified thermodynamic derivatives of the thermodynamical variables (energy , enthalpy , free energy of Helmholtz , free energy of Gibbs , entropy , temperature , pressure , and volume ) as functions of measurable quantities (temperature , pressure , volume , coefficient of thermal expansion , coefficient of compressibility , heat capacity at constant pressure , and heat capacity at constant volume ). Sometimes the entropy will remain outside the derivatives.

MathModelica makes it possible to develop advanced multi-engineering and life science models by simple drag & drop. MathModelica provides an environment for model based design, including support for modeling, simulation, analysis, and documentation.

We focus on scientific/engineering software development using RAD abilities of Python language, accompanied with free scientific libraries such as NumPy and SciPy. Our mainstream research activity is numerical optimization, including nonsmooth optimization and solving systems of nonlinear equations. OpenOpt framework - universal numerical optimization package with several own solvers (e.g. ralg) and connections to tens of other, graphical output of convergence and many other goodies FuncDesigner - tool to rapidly build functions over variables/arrays and get their derivatives via automatic differentiation. Also, you can perform integration, interpolation, solve systems of linear/nonlinear/ODE equations and numerical optimization problems coded in FuncDesigner by OpenOpt (see some examples in its doc), uncertainty analysis and interval analysis DerApproximator - tool to get (or check user-supplied) derivatives via finite-difference approximation SpaceFuncs - tool for 2D, 3D, N-dimensional geometric modeling with possibilities of parametrized calculations, numerical optimization and solving systems of geometrical equations

Python(x,y) is a free scientific and engineering development software for numerical computations, data analysis and data visualization based on Python programming language, Qt graphical user interfaces, Eclipse integrated development environment and Spyder interactive scientific development environment.

SciPy (pronounced "Sigh Pie") is open-source software for mathematics, science, and engineering. It is also the name of a very popular conference on scientific programming with Python. The SciPy library depends on NumPy, which provides convenient and fast N-dimensional array manipulation. The SciPy library is built to work with NumPy arrays, and provides many user-friendly and efficient numerical routines such as routines for numerical integration and optimization. Together, they run on all popular operating systems, are quick to install, and are free of charge. NumPy and SciPy are easy to use, but powerful enough to be depended upon by some of the world's leading scientists and engineers. If you need to manipulate numbers on a computer and display or publish the results, give SciPy a try!

ggplot2 is a plotting system for R, based on the grammar of graphics, which tries to take the good parts of base and lattice graphics and none of the bad parts. It takes care of many of the fiddly details that make plotting a hassle (like drawing legends) as well as providing a powerful model of graphics that makes it easy to produce complex multi-layered graphics.

A couple of posts ago, I talked about a simple monte carlo simulation for diffusion limited aggregation. In this post, I’m going to talk about another algorithm that, at its heart, is based on random numbers. Unlike DLA though, this algorithm isn’t about simulating a physical system. Instead, it is about a method for solving optimization problems that are generally poorly suited to traditional numerical optimization techniques. This post describes an application of a library implementing the GEP method posed by Cândida Ferreira nearly 10 years ago. I started messing with GEP shortly after the paper “Gene Expression Programming: A New Adaptive Algorithm for Solving Problems” was published in the journal Complex Systems. The paper sat in a pile for a while, and about two years ago I picked it up again and started to implement it as a Haskell library.

The Trilinos Project is an effort to develop algorithms and enabling technologies within an object-oriented software framework for the solution of large-scale, complex multi-physics engineering and scientific problems. A unique design feature of Trilinos is its focus on packages.

FreeMat is a free environment for rapid engineering and scientific prototyping and data processing. It is similar to commercial systems such as MATLAB from Mathworks, and IDL from Research Systems, but is Open Source. FreeMat is available under the GPL license.

RKWard is meant to become an easy to use, transparent frontend to the R-language, a very powerful, yet hard-to-get-into scripting-language with a strong focus on statistic functions. It will not only provide a convenient user-interface, however, but also take care of seamless integration with an office-suite. Practical statistics is not just about calculating, after all, but also about documenting and ultimately publishing the results.

EES ('ease') is a revolutionary program which will change the way you think and work. EES provides capabilities not found in any other equation solving program. EES will solve large sets of non-linear algebraic and differential equations. EES also provides publication-quality plots, linear and non-linear regression, optimization, unit conversion and consistency checking, and uncertainty analyses. Built-in functions are provided for thermodynamic and transport properties of many substances, including steam, air, refrigerants, cryogenic fluids, JANAF table gases, hydrocarbons and psychrometrics. Additional property data can be added. EES also allows user-written functions, procedures, modules, and tabular data. EES can also interface with REFPROP and other NIST fluid property programs. REFPROP provides the most advanced methods for estimating the properties of mixtures. The Professional version allows many other additional features including animation and the ability to make stand-alone programs.

MATLAB is a high-level technical computing language and interactive environment for algorithm development, data visualization, data analysis, and numerical computation. Using MATLAB, you can solve technical computing problems faster than with traditional programming languages, such as C, C++, and Fortran.

Sage is a free open-source mathematics software system licensed under the GPL. It combines the power of many existing open-source packages into a common Python-based interface. Mission: Creating a viable free open source alternative to Magma, Maple, Mathematica and Matlab.

Cantor is an application that lets you use your favorite mathematical applications from within a nice KDE-integrated Worksheet Interface. It offers assistant dialogs for common tasks and allows you to share your worksheets with others. Four backends are curently available: Sage, Maxima, R and KAlgebra.

Maxima is a system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations, polynomials, and sets, lists, vectors, matrices, and tensors. Maxima yields high precision numeric results by using exact fractions, arbitrary precision integers, and variable precision floating point numbers. Maxima can plot functions and data in two and three dimensions.Maxima is a descendant of Macsyma, the legendary computer algebra system developed in the late 1960s at the Massachusetts Institute of Technology. It is the only system based on that effort still publicly available and with an active user community, thanks to its open source nature. Macsyma was revolutionary in its day, and many later systems, such as Maple and Mathematica, were inspired by it.