142 skills found · Page 1 of 5
jacobwilliams / Fortran Astrodynamics ToolkitA Modern Fortran Library for Astrodynamics 🚀
cpmech / RussellRust Scientific Libary. ODE and DAE (Runge-Kutta) solvers. Special functions (Bessel, Elliptic, Beta, Gamma, Erf). Linear algebra. Sparse solvers (MUMPS, UMFPACK). Probability distributions. Tensor calculus.
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john-s-butler-dit / Numerical Analysis PythonPython notebooks for Numerical Analysis
RomaTeng / ORB VINS RK4LearnVIORB by using Runge Kutta 4th Order Integration On Manifold
sotos82 / SolarSystemSimulatorGameA simulation of our Solar System and a game at the same time made mainly for educational purposes (it gives a good sense of the time and space scale of out Solar System). The planets the moon and the Space Crafts follow realistic (elliptical) orbits in phase space and the relative sizes of planets and moon are correct. For the orbital elements of the planets I used values according to the NASA planetary fact sheet. The radius of all planets and moon is increased by a factor of 30 to avoid floating point errors since the GPU internally is using single precision arithmetics. The planetary orbits are pre-computed at start time using a 4rth-order Runge-Kutta integrator. Specifically the 2nd Kepler-law (which is a differential equation) is solved for the values according to the Nasa Fact-Sheet for the planets of our solar system and the moon. The trajectories of the Space-Crafts are calculated at run time using a 2nd order Leapfrog Integrator with initial conditions based on user input and Earth's position and velocity at the time the Space Craft is launched. The goal of the game is to launch Space Crafts and complete the missions. Check out the video in the right for gameplay footage. Note that in order to play the game you need a mouse with a wheel. Programmed with C# and powered by Unity.
kbladin / Fluid SimulationSelf advection, external force and pressure solve to a velocity field represented by a MaC grid.
cfgnunes / Numerical Methods PythonNumerical methods implementation in Python.
martinjrobins / DiffsolODE solver library in Rust
jacobwilliams / RklibFixed and variable-step Runge-Kutta solvers in Modern Fortran
memmaptensor / ComfyUI RK SamplerBatched Runge-Kutta Samplers for ComfyUI
jacobwilliams / Dop853Modern Fortran Edition of Hairer's DOP853 ODE Solver. An explicit Runge-Kutta method of order 8(5,3) for problems y'=f(x,y); with dense output of order 7
jnafzig / HamiltonianSolverNumerically solves equations of motion for a given Hamiltonian function
MatthewPeterKelly / RungeKuttaCppA collection of explicit runge-kutta integrators, written in C++
milankl / SwmShallow water equations solver with finite differences written in Python. Arakawa C-grid, Arakawa and Lamb advection scheme, Shchepetkin and O'Brian-like biharmonic diffusion operator. 4th order Runge-Kutta for time integration.
princemahajan / FLINTFortran Library for numerical INTegration of differential equations
markmbaum / LibodeHigh-order ODE solvers as C++ classes with no dependencies
cfgnunes / Numerical Methods MatlabNumerical methods implementation in MATLAB.
woodward / IntegratorA numerical integrator written in Elixir for the solution of sets of non-stiff ordinary differential equations (ODEs).
SciML / RootedTrees.jlA collection of functionality around rooted trees to generate order conditions for Runge-Kutta methods in Julia for differential equations and scientific machine learning (SciML)
