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Showing 18 open source projects for "equation"
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ProbNumDiffEq.jl
Probabilistic Numerical Differential Equation solvers via Bayesian fil
ProbNumDiffEq.jl provides probabilistic numerical ODE solvers to the DifferentialEquations.jl ecosystem. The implemented ODE filters solve differential equations via Bayesian filtering and smoothing. The filters compute not just a single point estimate of the true solution, but a posterior distribution that contains an estimate of its numerical approximation error. -
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IntervalRootFinding.jl
Find all roots of a function in a guaranteed way with Julia
This package provides guaranteed methods for finding roots of functions, i.e. solutions to the equation f(x) == 0 for a function f. To do so, it uses methods from interval analysis, using interval arithmetic from the IntervalArithmetic.jl package by the same authors. The basic function is roots. A standard Julia function and an interval is provided and the roots function return a list of intervals containing all roots of the function located in the starting interval. -
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DiffEqBayes.jl
Extension functionality which uses Stan.jl, DynamicHMC.jl
This repository is a set of extension functionality for estimating the parameters of differential equations using Bayesian methods. It allows the choice of using CmdStan.jl, Turing.jl, DynamicHMC.jl and ApproxBayes.jl to perform a Bayesian estimation of a differential equation problem specified via the DifferentialEquations.jl interface. -
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JUDI.jl
Julia Devito inversion
...JUDI's modeling operators can also be used as layers in (convolutional) neural networks to implement physics-augmented deep learning algorithms thanks to its implementation of ChainRules's rrule for the linear operators representing the discre wave equation. -
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LaTeXStrings.jl
convenient input and display of LaTeX equation strings for Julia
This is a small package to make it easier to type LaTeX equations in string literals in the Julia language, written by Steven G. Johnson. With ordinary strings in Julia, to enter a string literal with embedded LaTeX equations you need to manually escape all backslashes and dollar signs: for example, $\alpha^2$ is written \$\\alpha^2\$. Also, even though IJulia is capable of displaying formatted LaTeX equations (via MathJax), an ordinary string will not exploit this. -
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PySR
High-Performance Symbolic Regression in Python and Julia
...Symbolic regression works best on low-dimensional datasets, but one can also extend these approaches to higher-dimensional spaces by using "Symbolic Distillation" of Neural Networks, as explained in 2006.11287, where we apply it to N-body problems. Here, one essentially uses symbolic regression to convert a neural net to an analytic equation. Thus, these tools simultaneously present an explicit and powerful way to interpret deep neural networks. -
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FEniCS.jl
A scientific machine learning (SciML) wrapper for the FEniCS
...Interfaces have been provided for the main functions and their attributes, and instructions to add further ones can be found here. A high-level API for usage with DifferentialEquations. An example can be seen in solving the heat equation with high-order adaptive time-stepping. Various gists/jupyter notebooks have been created to provide a brief overview of the overall functionality and of any differences between the pythonic FEniCS and the Julian wrapper. DifferentialEquations.jl ecosystem. Paraview can also be used to visualize various results just like in FEniCS. -
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SciMLBenchmarks.jl
Benchmarks for scientific machine learning (SciML) software
SciMLBenchmarks.jl holds webpages, pdfs, and notebooks showing the benchmarks for the SciML Scientific Machine Learning Software ecosystem. -
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MandelbrotExplorer
A program to calculate and represent the Mandelbrot set
...The user disposes of a graphical interface to control the program and modify conveniently some parameters, like the XY-scales, the XY map area, the Julia seed for the complex series iteration of Z(n+1)=Z(n)^2+a, being Z(0)=(X0,Y0) the seed, and "a in XY" the points to be calculated. The user can enter (among other parameters) the desired convergence-radius R for the series, and/or the number of maximal iterations N for the generator-equation in Z. -
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qutoss
sandbox particle simulator that obeys schrödinger's equation
Enjoy bizarre Quantum Mechanics animations by throwing a 2D particle in arbitrary environments. There is infinite freedom in customizing the potentials: draw out absurd terrains, or opt for standard experiments such as double-slit. The project's purpose is to aid the user in building intuition for the peculiar workings of the quantum realm. As such, it aims to be user-friendly and does not require prior knowledge of QM. Currently only available for macOS and Windows users (Linux... -
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lequation
cross platform latex-to-bitmap-to-clipboard gui
L(atex)equation aims to be the simplest latex to bitmap converter there is. Its goals are: simple gui, simple install, mac + windows + ubuntu binaries and it just should work. -
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Easy Funktion is an easy to use function plotter that supports complex numbers as well as real numbers. Additional features are equation solving, approximation functions and a built in pocket calculator.
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Graph polynomials and view prime numbers on a ulam spiral graphing plot. Only integer numbers. Based on an old GPL version of the JEP equation parser. See website for additional examples/live applets Seems to be closely related to Cellular automaton.
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Seems to be closely related to Cellular automaton, except this creates a complex pattern from a mathematical function you input. See website for examples/live applets. This program makes use of an old GPL version of the JEP equation parser.
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equal III is an equation visualization tool. It's possible to graph f(x,y) = 0. So it is able to graph systems of equations and inequations, and do graphic change analysis.
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An object-oriented partial differential equation (PDE) solver, written in Python, based on a standard finite volume approach and includes interface tracking algorithms. *WARNING* The project is no longer using Sourceforge to maintain its repository.
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A Fast MAC based 3D Free surface fuid solver. Capable also of simulating viscoelastic fluids.Includes also wave equation solver for simulating shallow water phenomena.
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MathGenius is a graphical tool intended to simplify your work in mathematics. By now it includes a graphical function plotter, a mechanism (still in development) to derive functions, and an equation solver. An extension mechanism will be developed.
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