Search Results for "solving equations"
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Showing 43 open source projects for "solving 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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DeepXDE
A library for scientific machine learning & physics-informed learning
DeepXDE is a library for scientific machine learning and 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. ... -
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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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overtureFramework
A framework for solving partial differential equations
Overture is a framework for solving partial differential equations (PDEs) in complex, possibly moving geometry. Overture uses overlapping grids to represent the geometry. The software includes grid generation capabilities, PDE solvers for fluids, solids, and fluid-structure interactions (FSI) as well as electromagnetics. -
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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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Fosite - advection problem solver
numerical simulation code for solving transport equations in 1D/2D/3D
Fosite is a generic framework for the numerical solution of hyperbolic conservation laws in generalized orthogonal coordinates. Its main purpose is the simulation of compressible flows in accretion disks. The underlying numerical solution method belongs to the family of unsplit conservative finite volume TVD schemes. The method is 2nd order accurate in space and uses high order Runge-Kutta and multistep schemes for time evolution. In addition to the pure advection code several source terms... -
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basic_numerical_methods
Didactic application to aid students in learning Numerical Methods;
A practical tool (for students and engineers) to foresee the result of calculus exercises. Calculation and visualization numerical methods for nonlinear equation, ODE, integration, linear system, polynomial fitting,..... -
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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. ... -
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lucidum
Application simulates the incipience of laser radiation
The dynamics of the population of energy levels and the power of stimulated radiation in laser amplifying media is modeled by solving a system of rate equations. The application was developed for students to explain the time dependence of laser power they observed. The material constants of the active medium of the laser used are specified in the configuration file. The application allows you to interactively select the pump speed and quality factor of the resonator by observing the time dependencies of the inverse population and laser radiation power. -
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MathSteps
Step by step math solutions for everyone
mathsteps is a JavaScript library that performs step-by-step algebraic simplification and equation solving for expressions provided as strings. It exposes functions to simplify expressions and to solve equations, returning a structured sequence of steps that detail each transformation. For every step, mathsteps reports the original node, the change type, the resulting node, and any substeps, which makes it useful for education, debugging, and explainable math tooling. ... -
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DataMelt
Computation and Visualization environment
...This Java multiplatform program is integrated with several scripting languages such as Jython (Python), Groovy, JRuby, BeanShell. DMelt can be used to plot functions and data in 2D and 3D, perform statistical tests, data mining, numeric computations, function minimization, linear algebra, solving systems of linear and differential equations. Linear, non-linear and symbolic regression are also available. Neural networks and various data-manipulation methods are integrated using powerful Java API. Elements of symbolic computations using Octave/Matlab scripting are supported. -
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NLIGA
Open source Matlab code for nonlinear isogeometric analysis
A unified framework, NLIGA (Non-Linear Isogeometric Analysis), is developed for mainly solving two and three-dimensional nonlinear problems on the MATLAB platform by using isogeometric analysis (IGA). Nonlinear hyperelastic and elastoplastic materials are primarily considered at this stage. Newton-Raphson method is used to solve the nonlinear governing equations. A series of benchmark examples are performed to validate the procedures. -
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BitLogic
Simple Java computer algebra calculator
A calculator that solves many types of problems including solving equations computing derivatives and integrals simplifying expressions graphing equations 2d and 3d reverse polish notation, algebraic and word based interpreter infinite writing board for writing out equations requires java 11 or more -
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Finita
Package for solving PDE systems numerically
Finita is a software package for solving complex algebraic/differential systems of equations numerically using various grid methods. -
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Grin is a set of tools for solving 2D elliptic equations using boundary elements (Green's functions)
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n-chinese-remainders
chinese remainder theorem - progressive solving, n-soln, extras
"chinese remainder" solves a system of equations over modulus quickly. crtwo is an improvement to Mathematica's release. crtwo: solves Chinese Remainder a pair at a time, (uses gcd), yet is still fast. Which means crtwo, unlike text book soln, uses an algorithm to solve or fail one mod equation at a time. showing win or fail of each eqn and solving other sawtooth intersections is possible, due to that. -
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CFD2D
The incompressible Navier-Stokes equations solver in 2D domains
CFD2D is open source software for Linux for solving the non-dimensionalized incompressible Navier-Stokes equations (NSE) inside an arbitrary two-dimensional domain inscribed in a unit square with Dirichlet and "do-nothing" boundary conditions. The space discretization is based on Finite Element Method (FEM) using an approximately uniform triangular mesh. The two choices of FE spaces are offered, these are of the so called MINI-element and of the Taylor-Hood element. -
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Linear Equations Set Solver
Solving Set Of Linear Equations with use of Gauss elimination method.
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SCaVis
Scientific Computation and Visualization Environment
...SCaVis can be used to plot functions and data in 2D and 3D, perform statistical tests, data mining, numeric computations, function minimization, linear algebra, solving systems of linear and differential equations. Linear, non-linear and symbolic regression are also available. Elements of symbolic computations using Octave/Matlab scripting are supported. The project was migrated to DataMelt. -
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SL2
SL2 (= SLSL) - A Simple Linear Systems Library
SL2 is a C++ template library for solving systems of linear equations, providing the most common algorithms for dense and sparse systems. It uses OpenMP for parallelization and has no other dependencies. As the name suggests, SL2's implementation is staightforward with a focus on clear concepts, easy usage and understandable code. -
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pyTRAX
ODEs solver with GUI
This small program named TRAX is capable of solving systems of ordinary differential equations and plotting the solution on a phase plane as well as function of time. The program is intended for educational purposes. The program runs on any Python-enabled platform, including GNU/Linux and MS\Windows OSs. To run the program you will need a python interpreter ver. 2.x and compatible versions of numpy, scipy and matplotlib libraries. -
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Math Simulator
A simulation software for numerical techniques.
Math Simulator is a java-based application which simulates various mathematical techniques.It is extremely useful for the Engineering students and for professionals. Most importantly, unlike most others Math Simulator is an Application rather than a java - library. So, user is not required to have any computer background. A Unique feature of Math Simulator is that it allows you to save queries for later reference. Hence you can save the problems along with their results. -
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cancer_dynamics
Cancer Dynamics web
Website that shows the dynamics of a tumor by solving a system of ordinary differential equations. The results are two kind of graph images, and a gif file, being all of them available for download as a compressed file. -
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Coupling the notion that during the search for the minimum of a function we must pass through its solution with a PSO solution generator engine, is the approach for solving, in time domain, a non-linear algebric-differential system of equations.
