Broaden your selection: Category/Mathematics
- 'Asymptote' is a script-based vector graphics language for technical drawing, inspired by MetaPost but with an improved C++-like syntax. It provides for figures the same high-quality level of typesetting that LaTeX does for scientific text. It is a programming language, not just a graphics program, so it can use the best features of both scripts and GUIs. High-level graphics commands are implemented in the language itself, so they can be tailored to specific applications. Labels and equations are typeset with LaTeX for high-quality PostScript output.
- besssugo is a free computational tool specifically designed to aid a cognizant expert—i.e. you, whether an engineer, scientist, technician, geek, etc—to build videos showing the result of a certain scientific calculation or whatever data can be computed or storied in a digital computer. Technically speaking, it is a plugin for the computational tool wasora, which provides means to parse and understand a high-level plain-text input file containing algebraic expressions, data for function interpolation, differential equations and output instructions amongst other facilities. Therefore, any mathematical computation which can be done by wasora—i.e. solving systems of differential-algebraic equations, multidimensional interpolation of scattered data, numerical integration and differentiation, etc.—can be combined with the facilities that besssugo provides to create visual representations in the form of animations.
- cl-ana is a library of modular utilities for reasonably high performance data analysis & visualization using Common Lisp. (Reasonably means I have to be able to use it for analyzing particle accelerator data). The library is made of various sublibraries and is designed in a very bottom-up way so that if you don't care about some feature you don't have to load it.
The functionality support so far are
- Tabular data analysis: Read-write of large datasets stored in HDF5 files are supported, along with ntuple datasets, CSVs, and in-memory data tables. Users can add their own table types by defining 4 methods and extending the table CLOS type.
- Histograms: Binned data analysis is supported with both contiguous and sparse histogram types; functional interface is provided via map (which allows reduce/fold) and filter.
- Plotting: Uses gnuplot for plotting dataset samples, plain-old lisp functions, histograms, strings-as-formulae, and anything else the user wishes to add via methods on a couple of generics.
- Fitting: Uses GSL for non-linear least squares fitting. Uses plain-old lisp functions as the fit functions and can fit against dataset samples, histograms, and whatever the user adds.
- Generic mathematics: CL doesn't provide extendable math functions, so cl-ana provides these as well as a convenient mechanism (a single function) for using these functions instead of the non-extendable versions. Already included are error propogation and quantities (values with units, e.g. 5 meters) as well as a GNU Octave-style handling of sequences (e.g. (+ (1 2) (3 4)) --> (4 6)).
- ctioga2 is a plotting program in the spirit of gnuplot. It can be used either directly on command-line or writing command files (or a mix of both). It produces publication-quality PDF files. It is based on the Tioga plotting library.
- DUNE-Grid How To
- DUNE, the Distributed and Unified Numerics Environment is a modular toolbox for solving partial differential equations (PDEs) with grid-based methods. It supports the easy implementation of methods like Finite Elements (FE), Finite Volumes (FV), and also Finite Differences (FD). DUNE is free software licensed under the GPL (version 2) with a so called "runtime exception" (see license). This licence is similar to the one under which the libstdc++ libraries are distributed. Thus it is possible to use DUNE even in proprietary software. The underlying idea of DUNE is to create slim interfaces allowing an efficient use of legacy and/or new libraries. Modern C++ programming techniques enable very different implementations of the same concept (i.e. grids, solvers, ...) using a common interface at a very low overhead. Thus DUNE ensures efficiency in scientific computations and supports high-performance computing applications. DUNE is based on the following main principles:
- Separation of data structures and algorithms by abstract interfaces.- This provides more functionality with less code and also ensures maintainability and extendability of the framework.
- Efficient implementation of these interfaces using generic programming techniques.
- Static polymorphism allows the compiler to do more optimizations, in particular function inlining, which in turn allows the interface to have very small functions (implemented by one or few machine instructions) without a severe performance penalty. In essence the algorithms are parametrized with a particular data structure and the interface is removed at compile time. Thus the resulting code is as efficient as if it would have been written for the special case.
- Reuse of existing finite element packages with a large body of functionality.- In particular the finite element codes UG, ALBERTA, and ALUGrid have been adapted to the DUNE framework. Thus, parallel and adaptive meshes with multiple element types and refinement rules are available. All these packages can be linked together in one executable.
- The framework consists of a number of modules which are downloadable as separate packages. The current core modules are:
- dune-common- contains the basic classes used by all DUNE-modules. It provides some infrastructural classes for debugging and exception handling as well as a library to handle dense matrices and vectors.
- dune-grid- is the most mature module. It defines nonconforming, hierarchically nested, multi-element-type, parallel grids in arbitrary space dimensions. Graphical output with several packages is available, e.g. file output to IBM data explorer and VTK (parallel XML format for unstructured grids). The graphics package Grape has been integrated in interactive mode.
- dune-istl (Iterative Solver Template Library)- provides generic sparse matrix/vector classes and a variety of solvers based on these classes. A special feature is the use of templates to exploit the recursive block structure of finite element matrices at compile time. Available solvers include Krylov methods, (block-) incomplete decompositions and aggregation-based algebraic multigrid.
- DataCapture was born out of frustration, and after much procrastination. Every time I had to get numerical values of a graph from a journal or a conference paper, I had to painstakingly approximate data points from the graph as best I could. Every time the points would come out inaccurate and a rather poor reproduction of the actual data. I wanted to write a program that would automate this task, and do a much better job at that. But then, that was three years ago. Finally its done. Its not the best thing that I have created, but certainly, one of the most useful. Its written in TCl/Tk and is a very small and uncomplicated aplication. Something that you can easily incorporate into your own applications easily.
- Dr. geo
- Dr. Geo, a libre software to design & manipulate interactive geometric sketches with constraints. Dr. Geo aim is to be an open, easy to study, modify and extend interactive geometry software. It is distributed with its source code you can modify while using it. Ten years old kids use Dr. Geo to explore Euclidean geometric sketch, agile kids extend and program it with its embedded dynamic Smalltalk language and user interface.
- FroZenLight connects simple line art and mathematics. The source of light can be positioned so that either symmetric reflection patterns or secret messages (Cryptography) are created. Dozens of example light patterns and some math exercises are provided.
- FunkyPlot is an interactive plotting tool for mathematical functions, designed for pupils and students.
- GSEGrafix is an application which produces high-quality graphical plots for science and engineering. Plots are specified via simple ASCII parameter files and data files and are presented in an anti-aliased GNOME canvas. The program supports rectangular two-dimensional plots, histograms, polar-axis plots and three-dimensional plots. Plots can be printed or saved to BMP, JPEG or PNG image formats. GSEGrafix can also be run both from a command prompt and from Octave.
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