Search Results for "linear equations"
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Showing 45 open source projects for "linear equations"
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MathPHP
Powerful modern math library for PHP
Math PHP is a library that brings advanced mathematical functions and data analysis capabilities to PHP applications. It covers a wide range of topics, including linear algebra, calculus, statistics, probability, and numerical analysis. Math PHP is designed for developers and data scientists who require precise and efficient mathematical computations in PHP, making it suitable for scientific computing and data processing. -
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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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HYPRE
Parallel solvers for sparse linear systems featuring multigrid methods
Livermore’s HYPRE library of linear solvers makes possible larger, more detailed simulations by solving problems faster than traditional methods at large scales. It offers a comprehensive suite of scalable solvers for large-scale scientific simulation, featuring parallel multigrid methods for both structured and unstructured grid problems. The HYPRE library is highly portable and supports a number of languages. Work on HYPRE began in the late 1990s. It has since been used by research... -
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Gridap.jl
Grid-based approximation of partial differential equations in Julia
Gridap provides a set of tools for the grid-based approximation of partial differential equations (PDEs) written in the Julia programming language. The library currently supports linear and nonlinear PDE systems for scalar and vector fields, single and multi-field problems, conforming and nonconforming finite element (FE) discretizations, on structured and unstructured meshes of simplices and n-cubes. It also provides methods for time integration. -
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Easings.net
Easing Functions Cheat Sheet
Easings .net is a visualization and reference project dedicated to easing functions, which are widely used in animations and transitions to create natural motion. Instead of linear changes, easing functions help define how values accelerate or decelerate over time, resulting in smoother and more dynamic effects. The project provides a clear, interactive showcase of common easing equations such as quadratic, cubic, quartic, and elastic functions. It is a valuable resource for developers and designers who want to understand and compare different easing behaviors before applying them to web animations, game mechanics, or UI interactions. ... -
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JUDI.jl
Julia Devito inversion
JUDI is a framework for large-scale seismic modeling and inversion and is designed to enable rapid translations of algorithms to fast and efficient code that scales to industry-size 3D problems. The focus of the package lies on seismic modeling as well as PDE-constrained optimization such as full-waveform inversion (FWI) and imaging (LS-RTM). Wave equations in JUDI are solved with Devito, a Python domain-specific language for automated finite-difference (FD) computations. 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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LMath library
Math library for Free Pascal and Lazarus.
...It is entirely written in Pascal and does not depend on external libraries. 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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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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WavePacket (Matlab/Octave)
Dynamics of quantum systems, controlled by external fields
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, partly also classical or quantum-classical Liouville 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, including quantum optimal control. ... -
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CalcTools
A library of tools for math calculation
Java source intended to serve as a nexus for teaching both mathematics and software solutions for computation on iterative equations. Public interfaces allow a user to extend the available operator and function lists to external libraries. Currently the packaged libraries include the CERN Colt library and the Anaconda package of math libraries which include MpMath and SciPy. A user can easily extend the functionality by coding to the provided interfaces and dropping a JAR of the... -
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DiffEqOperators.jl
Linear operators for discretizations of differential equations
DiffEqOperators.jl is a package for finite difference discretization of partial differential equations. It allows building lazy operators for high order non-uniform finite differences in an arbitrary number of dimensions, including vector calculus operators. For the operators, both centered and upwind operators are provided, for domains of any dimension, arbitrarily spaced grids, and for any order of accuracy. The cases of 1, 2, and 3 dimensions with an evenly spaced grid are optimized with... -
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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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WaveTrain (Python)
Quantum dynamics of chain-like systems using tensor train formats
...WaveTrain builds on the Python tensor train toolbox scikit_tt, which provides efficient construction methods, storage schemes, as well as solvers for eigenvalue problems and linear differential equations in the TT format. WaveTrain comprises solvers for time-independent and time-dependent Schrödinger equations employing TT decompositions to construct low-rank representations. Often, the TT ranks of state vectors are found to depend only marginally on the chain length N, which results in the computational effort growing only slightly more than linearly in N, thus mitigating the curse of dimensionality. -
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BigDecimal
Arithmetic and calculus with decimal numbers of arbitrary precision.
BigDecimal is a C # library that uses System.Numerics.BigInteger in its implementation, adding only a decimal place quantizer. In BigDecimal all the arithmetic operations are implemented, including, logarithms, systems resolution of linear equations, trigonometric functions, polynomial regression, hyperbolic functions, the notorious gamma function (factorial for non-integer real numbers) and more that will be implemented still. My intention is, at a minimum, to implement all the mathematical functions of the Windows calculator, and at most, if any, all the mathematical functions of Office Excel. -
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ChemStud
android app for engineers and scientists
Carryout unit conversions, perform definite integrals, solve for simultaneous equations and Ordinary Differential Equations from reaction data, solve for electrical engineering circuit problems and optimize linear programming problems -
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TEPG
tutor of linear equations using python
program that solves linear equations and explains the solution and the sample in a pdf file. -
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WavePacket
Dynamics of quantum systems, controlled by external fields
WavePacket is a toolkit for numerical simulation of distinguishable particles. It can solve single or coupled time-independent or time-dependent (linear) Schrödinger and Liouville-von Neumann-equations, as well as classical or quantum-classical Liouville equations. External electric fields can be added within the semiclassical dipole approximation, thus WavePacket can be used to simulate modern experiments involving ultrashort light pulses in photo-induced physics or chemistry, including quantum optimal control. ... -
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tabipb
A treecode-accelerated boundary integral Poisson-Boltzmann solver
TABI (treecode-accelerated boundary integral) solves the linear Poisson-Boltzmann equation. The solver employs a well-conditioned boundary integral formulation for the electrostatic potential and its normal derivative on the molecular surface, which is triangulated and the integral equations are discretized by centroid collocation. The linear system is solved by GMRES iteration and the matrix-vector product is carried out by a Cartesian terraced which reduces the cost from O(N^2) to O(N*logN), where N is the number elements. ... -
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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
...The program is fully multiplatform (100% Java) and integrated with Java and a number of scripting languages: Jython (Python), Groovy, JRuby, BeanShell. 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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ProteinLP
A linear programming model for protein inference problem
In this paper, we present a linear programming model (ProteinLP) for protein inference, which is built on two simple probability equations. ProteinLP is implemented in Java and can run on any Java Virtual Machine (JVM) regardless of computer architecture. Since ProteinLP introduces linear programming to solve protein inference problem, the software uses a standard LP software package, Glpk for Java (v4.47). -
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Fast Matrix for Java
General purpose matrix utilities for Java in Parallel Computing
Fast Matrix for Java (fm4j) is a general-purpose matrix utility library for computing with dense matrices. fm4j encapsulated different underlying implementations and select the optimal one in run-time depending on the size of the input matrix. Moreover, fm4j employs Java (Tm) Concurrency to take advantage of the computation power of multi-cor processors.
