Search Results for "linear equations"
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Showing 83 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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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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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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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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Book-Reviews-In-Mathematica
Partial Differential Equations, Complex Analysis, Mathematica, Farlow
Cliff* Notes, Mathematica Evaluatable "Partial Differential Equations for Scientists and Engineers", Farlow "Physics for Scientists and Engineers", Serway "A First Course in Complex Analysis", Beck "PDE", Asmar "PDE, An Introduction", Colton "Elementary Differential Equations", 7th, Rainville "Ordinary Differential Equations", Tenenbaum "Linear Algebra And It's Applications", Lay "Swokowski Calculus", 5th, Swokowski "Chemistry Concepts & Problems, A Self-Teaching Guide", Houk "Openstax Chemistry" "College Algebra and Trigonometry", 2nd, Kaufman * 2nd order cannonicalization SOLVER, cannonical form automatically * nth order PDE to System of n first order PDE matrices generator with ODE Decouple Solving (pde not yet) * radial probability plot for Hydrogen, pde shrodinger's * Planck blackbody, Rutherford essay * fermi free electron essay * Table of Nucleon positions for all Isotope w/Manipulate * p-p separation nucleus plot using the above -
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Forget about sleepless nights over textbooks! Solver is an application that solves equations quickly and easily. • Solve equations of any type — from linear to the fourth degree. • Save time and effort — you won't have to learn anything else. • Import and export data — work with equations from files and save solutions in the desired format. Don't miss the chance to make learning math simple and effective!
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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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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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AtteStat
The package for statistical data analysis and applied mathematics
Less means - more power. The high performance open source package for statistical data analysis and applied mathematics AtteStat is an add-in for desktop versions of the Microsoft Excel spreadsheets. Both 32-bit and 64-bit in one package. The combination of the unsurpassed convenience of spreadsheets and the effective interception of Microsoft Excel exceptions (frontend) and the maximum speed of the C++ programming language (backend). Winner of contest Microsoft Office Extensions (PC... -
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ME.com
Mathematical & engineering components for software development
The truth can't be complicated. Mathematical & engineering components (abbreviation ME . com) for development of the software are the comprehensive collection of original fastest algorithms for scientific computing. Not based on any known software library. Used in AtteStat, StatAnt, Criterial projects and another with rights saved include in educational purposes. Registered 2003-03-21 with the Federal Service for Intellectual Property. Completely free. No donation required. Mathematical &... -
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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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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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GiNaCDE
A software for solving Nonlinear Differential Equations
GiNaCDE is free and open-source software that solves entirely automatically linear or nonlinear differential equations. In searching traveling wave solutions, this application converts the Nonlinear Partial Differential Equations (NLPDEs) into Nonlinear Ordinary Differential Equations (NLODEs) and gives the exact solutions when they exist. The Differential Equations are solved by F-expansion and first integral methods. -
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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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PLP_Solvers
Library of solvers for work in Science, Engineering & Education
Portable library of solvers for work in Science, Engineering & Education. Library Contents: High Precision Computation, Numerical Calculus, Complex Analysis, Geometry, Linear Algebra, Special Functions, Differential Equations, Transformations, Optimization & Interpolation, Statistics, Physics ... (12,538 functions in v23.06 package) Knowledge of any programming language is not required. Only Windows port is available. -
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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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Equation Math Solver
Equation Math Solver
Equation Solver is a piece of software designed to help you execute second (a*x^2+b*x+c=0) and first (b*x+c=0) degree equations, along with simple linear systems (a1*x+b1*y+c1=0 and a2*x+b2*y+c2=0). It doesn't come packed with complicated options or configuration parameters, making it accessible to math students who don't have heavy PC experience. My blog: https://vegettadbz.blogspot.com/ -
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Algorithms Math Models
MATLAB implementations of algorithms
Algorithms_MathModels is a large MATLAB collection of algorithms and solved examples targeted at students and teams preparing for mathematical modeling competitions (national and international contests like MCM/ICM). The repository gathers implementations and case studies across many topics commonly used in contest solutions: optimization (linear, integer, goal and nonlinear programming), heuristic and metaheuristic methods (simulated annealing, genetic algorithms, immune algorithms), neural networks and time-series methods, interpolation and regression, graph theory, cellular automata, grey systems, fuzzy models, partial/ordinary differential equations, and multivariate analysis, among others. ... -
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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.
