Search Results for "solving equations"
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Showing 28 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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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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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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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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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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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.
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Manufactured Analytical Solution Abstraction (MASA): a library for applying the Method of Manufactured Solutions to verification of numerical software used for solving systems of nonlinear algebraic and differential equations.
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This library provides a general purpose polynomial calculator for actionscript 3. This includes basic math operators, deriviatives, finding zeros (uses TOMS493 algorithm), and solving. Supports copmlex coeffiecents and rational polynomials.
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3 levels density matrix simulation. Currently it enables you to get time solvetions for three-level systems. It's generates files with time solvetions for density matrix. In the future It will solve multilevel atomic system on MPI.
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Charybdis is a Python-driven set of applications for solving partial differential equations on irregular domains.
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Java library that implements linear algebra operations: matrix operations (addition, substraction, multiplication, transposing, determinant of matrix , inversion, rank of matrix); linear equations system solving.
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Java library for simple managing and solving sophisticated mathematic expressions and equations, based on Reverse Polish Notation (RPN)
