Search Results for "differential equation solver"

Showing 80 open source projects for "differential equation solver"

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  • 1
    Diffrax

    Diffrax

    Numerical differential equation solvers in JAX

    Diffrax is a numerical differential equation solving library built for the JAX ecosystem, with a strong focus on composability, differentiability, and high-performance scientific computing. The project provides tools for solving ordinary differential equations, stochastic differential equations, controlled differential equations, and related systems in a way that fits naturally into modern machine learning and differentiable programming workflows. ...
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  • 2
    ProbNumDiffEq.jl

    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.
    Downloads: 0 This Week
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  • 3
    VoronoiFVM.jl

    VoronoiFVM.jl

    Solution of nonlinear multiphysics partial differential equations

    Solver for coupled nonlinear partial differential equations (elliptic-parabolic conservation laws) based on the Voronoi finite volume method. It uses automatic differentiation via ForwardDiff.jl and DiffResults.jl to evaluate user functions along with their jacobians and calculate derivatives of solutions with respect to their parameters.
    Downloads: 1 This Week
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  • 4
    Sundials.jl

    Sundials.jl

    Julia interface to Sundials, including a nonlinear solver

    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.
    Downloads: 1 This Week
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  • 5
    DiffEqBayes.jl

    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.
    Downloads: 1 This Week
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  • 6
    OrdinaryDiffEq.jl

    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...
    Downloads: 0 This Week
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  • 7
    DataDrivenDiffEq.jl

    DataDrivenDiffEq.jl

    Data driven modeling and automated discovery of dynamical systems

    DataDrivenDiffEq.jl is a package for finding systems of equations automatically from a dataset. The methods in this package take in data and return the model which generated the data. A known model is not required as input. These methods can estimate equation-free and equation-based models for discrete, continuous differential equations or direct mappings.
    Downloads: 0 This Week
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  • 8
    ModelingToolkit.jl

    ModelingToolkit.jl

    Modeling framework for automatically parallelized scientific ML

    ModelingToolkit.jl is a modeling language for high-performance symbolic-numeric computation in scientific computing and scientific machine learning. It then mixes ideas from symbolic computational algebra systems with causal and acausal equation-based modeling frameworks to give an extendable and parallel modeling system. It allows for users to give a high-level description of a model for symbolic preprocessing to analyze and enhance the model. Automatic symbolic transformations, such as index reduction of differential-algebraic equations, make it possible to solve equations that are impossible to solve with a purely numeric-based technique. ...
    Downloads: 8 This Week
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  • 9
    FourierFlows.jl

    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.
    Downloads: 0 This Week
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  • 10
    DPM-Solver

    DPM-Solver

    Fast ODE Solver for Diffusion Probabilistic Model Sampling

    ...The project introduces a specialized numerical solver designed to approximate the diffusion process using a small number of high-order integration steps. By reformulating the sampling problem as the solution of a diffusion-related ordinary differential equation, the solver can produce high-quality samples much more efficiently. This approach significantly reduces the computational cost required to generate images while maintaining strong generation quality.
    Downloads: 0 This Week
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  • 11
    basic_numerical_methods

    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,.....
    Downloads: 0 This Week
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  • 12
    Zgoubi is a raytracing code. Since 1972 it pushes charged particles through accelerators and beam lines, by stepwise solution of Lorentz force equation - and their spins via Thomas-BMT differential equation. Zgoubi simulates beam dynamics and polarization in a variety of accelerators (storage ring, synchrotron, cyclotron, betatron, microtron, FFAG, multi-pass ERL, etc) and optical systems (beam lines, magnetic and electrostatic optical components, time-of-flight and mass spectrometers, etc). ...
    Downloads: 1 This Week
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  • 13
    Advanced Trigonometry Calculator

    Advanced Trigonometry Calculator

    Precision Trigonometry: Advanced Calculator for Complex Math

    Advanced Trigonometry Calculator is equipped with a user-friendly interface that allows for easy input of problems and instant computation. Professionals such as engineers who need to perform advanced trigonometric calculations in their work will find this tool extremely useful. ATC Online Alpha: https://advantrigoncalc.sourceforge.io/atc/ More info by clicking below: https://advantrigoncalc.sourceforge.io/ Advanced Trigonometry Calculator was only and always only developed by...
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    Downloads: 18 This Week
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  • 14
    PyTorch Implementation of SDE Solvers

    PyTorch Implementation of SDE Solvers

    Differentiable SDE solvers with GPU support and efficient sensitivity

    This library provides stochastic differential equation (SDE) solvers with GPU support and efficient backpropagation. examples/demo.ipynb gives a short guide on how to solve SDEs, including subtle points such as fixing the randomness in the solver and the choice of noise types. examples/latent_sde.py learns a latent stochastic differential equation, as in Section 5 of [1].
    Downloads: 0 This Week
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  • 15
    QUCAS-Quantum-Cosmology-Integration

    QUCAS-Quantum-Cosmology-Integration

    NOTICE OF CONSOLIDATION & PARTNERSHIP PENDING As of April 2026, the 20

    NOTICE OF CONSOLIDATION & PARTNERSHIP PENDING As of April 2026, the 20 pipelines of the QCAUS/PDPBioGen suites are undergoing consolidation for high-scale institutional research. Core 'Ford 2026' algorithms remain the proprietary IP of the Ford Peace and Justice Foundation. Academic users at partner institutions are currently performing validation; all other commercial inquiries must contact the author License: Dual 🔬 Overview A complete computational framework for cosmological...
    Downloads: 0 This Week
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  • 16
    Math Model

    Math Model

    Code, resources, and templates for mathematical modeling

    Math_Model is a repository collecting resources, code, and algorithm templates for mathematical modeling and competition (e.g. Chinese modeling contests, US undergraduate modeling competitions). It includes LaTeX templates for writing solutions, records of past contest problems and winning solutions, algorithm implementations in MATLAB / M scripts for optimization, intelligent algorithms, numerical methods, and model frameworks. In effect, it is a curated library of modeling code, papers,...
    Downloads: 0 This Week
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  • 17
    SciMLBenchmarks.jl

    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.
    Downloads: 0 This Week
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  • 18
    Ion Beam Simulator
    Library for ion optics, plasma extraction and space charge dominated ion beam transport.
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    Downloads: 22 This Week
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  • 19
    GeneticSharp

    GeneticSharp

    GeneticSharp is a fast, extensible, multi-platform and multithreading

    ...Can be used in any kind of .NET 6, .NET Standard and .NET Framework apps, like ASP .NET MVC, ASP .NET Core, Blazor, Web Forms, UWP, Windows Forms, GTK#, Xamarin, MAUI and Unity3D games. GeneticSharp and extensions (TSP, AutoConfig, Bitmap equality, Equality equation, Equation solver, Function builder, etc). A Blazor client application template with GeneticSharp ready to run a Travelling Salesman Problem (TSP). A console application template with GeneticSharp, you just need to implement the chromosome and fitness function. A console application template with GeneticSharp ready to run a Travelling Salesman Problem (TSP).
    Downloads: 0 This Week
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  • 20
    WaveTrain (Python)

    WaveTrain (Python)

    Quantum dynamics of chain-like systems using tensor train formats

    WaveTrain is an open-source software for numerical simulations of chain-like quantum systems with nearest-neighbor (NN) interactions only (with or without periodic boundary conditions). This Python package is centered around tensor train (TT, or matrix product) representations of quantum-mechanical Hamiltonian operators and (stationary or time-evolving) state vectors. WaveTrain builds on the Python tensor train toolbox scikit_tt, which provides efficient construction methods, storage...
    Downloads: 0 This Week
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  • 21
    ViennaSHE is a modern semiconductor device simulator for 1D, 2D and 3D device simulation. It relies on deterministic solutions of the Boltzmann Transport Equation using Spherical Harmonics Expansions.
    Downloads: 3 This Week
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  • 22

    ADE_3D_FEM

    A 3D ADE FEM solver including a manual and a basic preprocessor

    A 3D Advection-Diffusion Equation Finite Element Method solver including a user's manual and a basic pre-proccessor.
    Downloads: 0 This Week
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  • 23
    HMD Mathematics

    HMD Mathematics

    Numerical mathematics platform, Matlab alternative

    Matlab alternative. Scilab alternative. GNU Octave alternative. Mathematics software for numerical computation. Ordinary differential equations solver and finite elements solver. It has a console script interpreter, as well as a graphical interface script interpreter, for entering equations and statements, and a line plot display.
    Downloads: 17 This Week
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  • 24

    WRF_ELEC

    Storm electrification package for the WRF-ARW

    ...It contains modules for the lightning discharge scheme, the screening layer parameterization, communications, and include code that calls these subroutines. Note that the required elliptic equation solver is a separate download from <http://sourceforge.net/projects/boxmg4wrf>
    Downloads: 0 This Week
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  • 25
    HBV interventions model

    HBV interventions model

    ODE HBV model and MCMC for fitting HBsAg, HBcAg and HBeAg data.

    This code implements the MCMC and ordinary differential equation (ODE) model described in [1]. The core MCMC and ODE code is implemented in C/C++, and is wrapped with an R front end. This is not an R-package (although there are plans to extend the code and eventually make it into an R-package). Please read the PDF file supplied for further instructions on how to use this code. [1] HBV vaccination and PMTCT as elimination tools in the presence of HIV: insights from a clinical cohort and dynamic model https://bmcmedicine.biomedcentral.com/articles/10.1186/s12916-019-1269-x
    Downloads: 0 This Week
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