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Tags: Science and math
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Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differential-algebraic equations (DAEs), and more in Julia.

  • differential-equations
  • differentialequations
  • julia
  • ode

The Control Toolbox - An Open-Source C++ Library for Robotics, Optimal and Model Predictive Control

  • optimal-control
  • model-predictive-control
  • ilqr
  • ilqg

C++ library for solving large sparse linear systems with algebraic multigrid method

  • amg
  • c-plus-plus
  • sparse-linear-systems
  • opencl

Parallel solvers for sparse linear systems featuring multigrid methods.

  • math-physics
  • library
  • hpc
  • radiuss

Open-source cross-platform symbolic algebra library for C# and F#. Can be used for both production and research purposes.

  • csharp
  • algebra
  • integration
  • latex

Nonconvex embedded optimization: code generation for fast real-time optimization + ROS support

  • embedded-optimization
  • nonconvex
  • model-predictive-control
  • rust-library

A Python native dynamical system simulation framework in the block diagram paradigm.

  • blockdiagram
  • control-systems
  • hierarchical-modeling
  • nonlinear-dynamics

Exascale multiphase flow solver — 2025 Gordon Bell Prize Finalist | 200T grid points on 43K+ GPUs

  • gpu
  • exascale
  • cfd
  • fortran

Supernodal sparse direct solver. https://portal.nersc.gov/project/sparse/superlu/

An automatic code generator for nonlinear model predictive control (NMPC) and the continuation/GMRES method (C/GMRES) based numerical solvers for NMPC

  • model-predictive-control
  • nonlinear-model-predictive-control
  • mpc
  • nmpc

OFF, Open source Finite volume Fluid dynamics code

  • fluid-dynamics
  • fortran
  • oop
  • cfd

ODE system solver made simple. For IVPs (initial value problems).

  • runge-kutta-fehlberg
  • runge-kutta
  • simulation
  • ode-solver