Search Results for "equations"
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Showing 145 open source projects for "equations"
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DifferentialEquations.jl
Multi-language suite for high-performance solvers of equations
This is a suite for numerically solving differential equations written in Julia and available for use in Julia, Python, and R. The purpose of this package is to supply efficient Julia implementations of solvers for various differential equations. The well-optimized DifferentialEquations solvers benchmark as some of the fastest implementations, using classic algorithms and ones from recent research which routinely outperform the “standard” C/Fortran methods, and include algorithms optimized for high-precision and HPC applications. ... -
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OrdinaryDiffEq.jl
High performance ordinary differential equation (ODE)
This is a suite for numerically solving differential equations written in Julia and available for use in Julia, Python, and R. The purpose of this package is to supply efficient Julia implementations of solvers for various differential equations. The well-optimized DifferentialEquations solvers benchmark as some of the fastest implementations, using classic algorithms and ones from recent research that routinely outperform the “standard” C/Fortran methods, and include algorithms optimized for high-precision and HPC applications. ... -
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FourierFlows.jl
Tools for building fast, hackable, pseudospectral equation solvers
This software provides tools for partial differential equations on periodic domains using Fourier-based pseudospectral methods. A central intent of the software's design is also to provide a framework for writing new, fast solvers for new physical problems. The code is written in Julia. -
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MathJax
Beautiful and accessible math in all browsers
...MathJax is highly flexible and can be tailored to the needs of your institution by creating customized configurations and specialized software workflows. MathJax uses CSS with web fonts or SVG, instead of bitmap images or Flash, so equations scale with surrounding text at all zoom levels. MathJax is highly modular on input and output. Use MathML, TeX, and ASCIImath as input and produce HTML+CSS, SVG, or MathML as output. MathJax works with screenreaders & provides expression zoom and interactive exploration. You also can copy equations into Office, LaTeX, wikis, and other software. -
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SymPy
A computer algebra system written in pure Python
SymPy is an open source Python library for symbolic mathematics. Its goal is to become a full-featured computer algebra system (CAS) while maintaining the simplicity of its code. Written entirely in Python, SymPy is easy to use, comprehensible and easily extensible. It’s also very lightweight as it solely depends on mpmath, a pure Python library for arbitrary floating point arithmetic. SymPy has participated in every Google Summer of Code since 2007 and because of this has continuously... -
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DeepXDE
A library for scientific machine learning & physics-informed learning
...DeepXDE includes the following algorithms. Physics-informed neural network (PINN). Solving different problems. Solving forward/inverse ordinary/partial differential equations (ODEs/PDEs) [SIAM Rev.] Solving forward/inverse integro-differential equations (IDEs) [SIAM Rev.] fPINN: solving forward/inverse fractional PDEs (fPDEs) [SIAM J. Sci. Comput.] NN-arbitrary polynomial chaos (NN-aPC): solving forward/inverse stochastic PDEs (sPDEs) [J. Comput. Phys.] PINN with hard constraints (hPINN): solving inverse design/topology optimization [SIAM J. ... -
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XMDS
Fast integrator of stochastic partial differential equations
XMDS is a code generator that integrates equations. You write them down in human readable form in a XML file, and it goes away and writes and compiles a C++ program that integrates those equations as fast as it can possibly be done in your architecture. -
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DDE-BIFTOOL
Bifurcation analysis for delay-differential equations
DDE-BIFTOOL is a set of routines for performing numerical bifurcation analysis of delay-differential equations, running in Matlab or Octave[2]. It was originally created by Koen Engelborghs at KU Leuven (Belgium). [1] Tutorial demo <http://ddebiftool.sourceforge.net/demos/neuron/html/demo1_simple.html> shows the output of an illustrative demo. <http://ddebiftool.sourceforge.net> links to documentation, a list of contributors and current maintainers. -
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A cross-platform, open-source, alternative to NIST REFPROP. Based on reference-accuracy equations of state and transport property correlations for refrigerants like Water, CO2, R134a, Nitrogen, Argon, Ammonia, Air, R404a, R410a, Propane and many others. A selection of secondary working fluid properties are also available. Can also make use of REFPROP when available. In addition, calculations for Humid Air Properties based on ASHRAE RP-1485 are provided.
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LaSolv
Solves symbolic electrical AC circuit equations
In electrical engineering, AC circuits are often used in the design process. However, deriving the gain, input impedance or what have you is tedious and error prone. LaSolv takes a SPICE like description of your circuit and solves for whatever parameter you specify- voltage gain, trans-impedance, input impedance, etc. -
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Elmer finite element software
Open source finite element software for multiphysical problems
Elmer is a finite element software for numerical solution of partial differential equations and multiphysical problems. It includes models of structural mechanics, fluid dynamics, heat transfer, electromagnetics etc. Elmer home is www.csc.fi/elmer -
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CFDTool - CFD & OpenFOAM GUI Toolbox
CFDTool - Easy to Use Computational Fluid Dynamics (CFD) Toolbox
... - Completely stand-alone and cross-platform self-contained toolbox - Optionally use as MATLAB Add-On toolbox - Fully integrated and easy to use MATLAB GUI - Modeling and simulation in 1D, 2D, 3D, and axisymmetric/swirl/cylindrical coordinate systems - Seamless OpenFOAM GUI and SU2 CFD solver integrations (https://www.featool.com/Easy-to-Use-OpenFOAM-GUI) - Built-in geometry and CAD tools - Automatic mesh and grid generation - Pre-defined equations and boundary conditions for: + Incompressible viscous fluid flows (Navier-Stokes equations) + Compressible, supersonic, trans-sonic, and turbulent flows + Heat conduction with conjugate heat transfer -
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WavePacket (C++/Python)
Time-dependent simulation of open and closed quantum systems
...WavePacket is a program package for numerical simulation of quantum-mechanical wavepacket dynamics of distinguishable particles. It can be used to solve single or coupled time-independent or time-dependent (linear) Schrödinger and Liouville-von Neumann-equations. Optionally accounting for the interaction with external electric fields within the semiclassical dipole approximation, WavePacket can be used to simulate modern experiments involving ultrashort light pulses in photo-induced physics or chemistry. WavePacket is suitable for teaching quantum mechanics as well as for research projects in physics and chemistry. ... -
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REDUCE
A Portable General-Purpose Computer Algebra System
REDUCE is an interactive system for general algebraic computations of interest to mathematicians, scientists and engineers. It can be used interactively for simple calculations but also provides a flexible and expressive user programming language. The development of the REDUCE computer algebra system was started in the 1960s by Anthony C. Hearn. Since then, many scientists from all over the world have contributed to its development. REDUCE has a long and distinguished place in the... -
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LMath library
Math library for Free Pascal and Lazarus.
...LMath provides routines and demo programs for numerical analysis, including mathematical functions, probabilities, matrices, optimization, linear and nonlinear equations, integration, Fast Fourier Transform, random numbers, curve fitting, statistics and graphics. It is organized s set of lazarus packages which makes it easily extensible and helps to include only really needed features in your project. -
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matgts
programs for geotechnical engineering and mathematics
...mtfem - finite element analysis, 2D, plane strain state (C, SDL), GNU/Linux and Wind0ws executables present; mtpile - analysis of a laterally loaded pile (C, SDL); mtslope - slope stability and displacement analysis using limit equilibrium (C,SDL); jswall - analysis of a diaphragm wall (JavaScript); jsmath - mathematics: polynomial equations, linear systems of equations, eigenvalues, matrix multiplication, matrix inversion (JavaScript); mtwall - obsolete program for analysing a diaphragm wall (C, SDL). Some Javascript programs require at least Firefox 3 or 4, because of <canvas> and "use strict". -
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Billiards Covers
This zip jar contains the current coverings of periodic paths.
Researchers, Mathematicians and Enthusiasts. Download "Billiards Covers" to see the most current list of periodic paths in triangles. Download "Billiards Everything" to discover new periodic billiard paths, an unresolved problem from 1775! Follow "The Great Periodic Path Hunt" at gwtokarsky.github.io for the latest news. Email tokarsky@ualberta.ca for feedback. -
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ANYstructure
GUI based steel structure calculation and optimization tool.
...Calculate and optimize the following: Minimum plate thickness (DNV/DNVGL-OS-C101) Minimum section modulus of stiffener/plate (DNVGL-OS-C101) Minimum shear area (DNVGL-OS-C101) Buckling (DNVGL-RP-C201) Fatigue for plate/stiffener connection (DNVGL-RP-C203) Compartments (tank pressures) are created automatically. Pressures on external hull (or any other generic location) is defined by specifying equations. You can optimize single plate/stiffener field or multiple. PYTHON: PIP install ANYstructure Code: https://github.com/audunarn/ANYstructure -
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Continuation Core and Toolboxes (COCO)
Toolboxes for parameter continuation and bifurcation analysis.
Development platform and toolboxes for parameter continuation, e.g., bifurcation analysis of dynamical systems and constrained design optimization. This material is based upon work partially supported by the National Science Foundation under Grant No. 1016467 and the Danish research council (FTP) under the project number 0602-00753B. Any opinions, findings, and conclusions or recommendations expressed on this site are those of the authors and do not necessarily reflect the views of the... -
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DAE Tools Project
Object-oriented equation-based modelling and optimisation software
DAE Tools is a cross-platform equation-based object-oriented modelling, simulation and optimisation software. It is not a modelling language nor a collection of numerical libraries but rather a higher level structure – an architectural design of interdependent software components providing an API for: - Model development/specification - Activities on developed models, such as simulation, optimisation, sensitivity analysis and parameter estimation - Processing of the results, such as... -
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RSM
Radiation Spectrum Method : a modal BPM (Beam Propagation Method)
RSM (Radiation Spectrum Method) is a 2D rigorous tool to solve the Maxwell equations for the propagation of light in integrated optics or photonics devices. It makes use of an EigenMode Expansion method (EME) to solve the electromagnetic problem. This software running on Windows and MacOS comes with a GUI that permits to define with the aid of files or scripts the arbitrary and complex geometry of the waveguide. -
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K3DSurf (now MathMod) is a program to visualize and manipulate Mathematical models in three, four, five and six dimensions. K3DSurf supports Parametric equations and Isosurfaces. ****** Welcome to the realm of complex numbers! Change-log for MathMod-11.1 (16/06/2021) 1) Support of graphing functions with complex numbers Z=u+iv in 3D and 4D spaces (demo scripts: "Complex3D_xx" and "Complex4D_Saddle") 2) Added support for HSV (hue, saturation, brightness) coloring model (script: "Complex_Domain_Coloring") 3) Texture definitions (RGB and HSV) for parametric surfaces can now be expressed as functions of complex numbers 4) Added a software implementation for the OpenGL variable gl_FrontFacing (fixed an issue with GPU drivers on MacOSX Catalina). ...
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FEATool Multiphysics - FEA & CFD Toolbox
FEATool Multiphysics is an easy-to-use FEA and CFD Simulation Toolbox
FEATool Multiphysics (https://www.featool.com) is a fully integrated toolbox for computer aided engineering CAE, finite element analysis & fluid dynamics simulations. With a very easy-to-use GUI, anyone is now able to quickly set up and perform large scale dynamical and complex engineering physics simulations, with coupled fluid flow, heat transfer, structural mechanics, chemical transport, and electromagnetics effects, without having to learn complex programming. In addition to... -
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Ket
An algebra editor
A text editor for maths. Simple algebra should be faster and more intuitive to perform on a computer than on paper and should look like maths. Write small fragments in plain text; perform simple click-and-drag algebra with the mouse; and explore more involved algebra through keyboard shortcuts. When done, save as plain text files or export to LaTeX and HTML. -
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ransfoil
console to calculate airflow around an airfoil based on RANS approach
RANSFOIL is a console program to calculate airflow field around an isolated airfoil in low-speed, subsonic, transonic or supersonic regime by numerically solving the Reynolds averaged Navier-Stokes (RANS) equations using mature computational fluid dynamics (CFD) method. As postprocess results, the aerodynamic parameters of the airfoil, e.g., lift coefficient and drag coefficient, can be integrated from the airflow distribution near wall boundary. In addition, the coupling between airflow and heat transfer and the effect of surface roughness on near wall flow are considered by this program, it can be used for engineering calculation of the friction drag and heat transfer coefficients on airfoil surface. ...
