runge-kutta-methods

There are 2 repositories under runge-kutta-methods topic.

woodward / integrator
A numerical integrator written in Elixir for the solution of sets of non-stiff ordinary differential equations (ODEs).
elixir numerical nx ode-solver runge-kutta runge-kutta-adaptive-step-size runge-kutta-methods adaptive-stepsize bogacki-shampine dormand-prince odes ordinary-differential-equations elixir-nx
Language:Elixir 32
aromanro / ElectricField
Electric field lines and equipotentials using Runge-Kutta methods, including adaptive ones
bezier bezier-curves computational-physics direct2d electric-fields mfc physics runge-kutta runge-kutta-adaptive-step-size runge-kutta-methods splines
Language:C++ 23
mino2357 / Sample_program_ODE
常微分方程式の数値解法の基礎．（教材）
runge-kutta-methods runge-kutta-adaptive-step-size runge-kutta-4 rk4 eigen euler
Language:C++ 22
Hevenicio / 3D-Lorenz-Attractor-simulation-with-python
3D animation of the Lorenz Attractor trajectory, implemented in Python using the 4th order Runge-Kutta method. [Personal project]
animation animation-3d runge-kutta-methods python3 lorenz-attractor runge-kutta atrator-de-lorenz simulation matplotlib 3d rk4
Language:Python 19
DelSquared / Brownian-Motion
Python solver for the Brownian, Stochastic, or Noisy Differential Equations
langevin-dynamics langevin-equations langevin-diffusion langevin stochastic-processes stochastic-differential-equations noise-maps noisy-differential-equations oscillator brownian-motion brownian-dynamics ode-solver ode-solver-stochastic euler-method midpoint-method runge-kutta-methods random-walk non-equilibrium noisy-systems perturbation-analysis
Language:Python 13
aromanro / CompLotkaVolterra
Competitive Lotka–Volterra equations, solved using Runge-Kutta methods. Four dimensional system.
3d-charts 3d-graphics adaptive chaos chaos-theory competitive competitive-lotka-volterra lotka-volterra runge-kutta runge-kutta-methods vtk vtk-applications wxwidgets wxwidgets-applications
Language:C++ 11
Interesting-problems-
Ahmed-alkharusi / Interesting-problems-
Solving some interesting problems using Python and C++
the-logistic-map double-pendulum-simulation rk4 runge-kutta-methods physics math mandelbrot-set julia-sets solar-system three-body-problem sandpiles
Language:C++ 10
jahrWork / NumericalHUB
Set of modern Fortran numerical methods.
numerical-methods finite-differences spectral-methods runge-kutta-methods
Language:Fortran 9
Thierry-Dumont / Odes-NG
C++ library of (Ordinary) Differential Equations solvers.
ode differential-equations-solvers cpp pde runge-kutta-methods
Language:C++ 9
Nicerova7 / Numerical-analysis
Differents algorithms on python or matlab about numerical analysis - UNI
crank-nicolson numerical-algorithms numerical-analysis numerical-methods ordinary-differential-equations partial-differential-equations runge-kutta-methods shooting-method
Language:Python 8
devkapupara / ODE-Methods
A collection of various methods to find solution to Ordinary Differential Equations.
adams-bashforth-methods milne-simpson euler-method runge-kutta-methods midpoint-method taylor-estimation runge-kutta-4-system
Language:Python 6
noranta4 / Three-body-problem
The motion of an asteroid in a two-dimensional space with a star and a planet • University project • 2014 - Laboratorio di Fisica Computazionale - BSc in Physics, II year
c three-body-problem runge-kutta runge-kutta-methods differential-equations
Language:C 6
RUN-Beyond-the-Metaphor-An-Efficient-Optimization-Algorithm-Based-on-Runge-Kutta-Method
aliasgharheidaricom / RUN-Beyond-the-Metaphor-An-Efficient-Optimization-Algorithm-Based-on-Runge-Kutta-Method
The optimization field suffers from the metaphor-based “pseudo-novel” or “fancy” optimizers. Most of these cliché methods mimic animals' searching trends and possess a small contribution to the optimization process itself. Most of these cliché methods suffer from the locally efficient performance, biased verification methods on easy problems, and high similarity between their components' interactions. This study attempts to go beyond the traps of metaphors and introduce a novel metaphor-free population-based optimization based on the mathematical foundations and ideas of the Runge Kutta (RK) method widely well-known in mathematics. The proposed RUNge Kutta optimizer (RUN) was developed to deal with various types of optimization problems in the future. The RUN utilizes the logic of slope variations computed by the RK method as a promising and logical searching mechanism for global optimization. This search mechanism benefits from two active exploration and exploitation phases for exploring the promising regions in the feature space and constructive movement toward the global best solution. Furthermore, an enhanced solution quality (ESQ) mechanism is employed to avoid the local optimal solutions and increase convergence speed. The RUN algorithm's efficiency was evaluated by comparing with other metaheuristic algorithms in 50 mathematical test functions and four real-world engineering problems. The RUN provided very promising and competitive results, showing superior exploration and exploitation tendencies, fast convergence rate, and local optima avoidance. In optimizing the constrained engineering problems, the metaphor-free RUN demonstrated its suitable performance as well. The authors invite the community for extensive evaluations of this deep-rooted optimizer as a promising tool for real-world optimization. The source codes, supplementary materials, and guidance for the developed method will be publicly available at different hubs at http://aliasgharheidari.com/RUN.html.
optimization optimization-algorithms swarm-intelligence-algorithms swarm-intelligence benchmarking runge-kutta-methods runge-kutta modeling genetic-algorithm particle-swarm-optimization evolutionary-algorithms evolutionary-computation evolutionary-strategy differential-equations differential-evolution optimization-methods optimization-tools optimization-algorithm-library
Language:MATLAB 5
fritzwill / numerical-methods
Contains sample implementations in python of the following numerical methods: Euler's Method, Midpoint Euler's Method, Runge Kuttta Method of Order 4, and Composite Simpson's Rule
python numerical-methods numerical-analysis ivp integrals runge-kutta-rk4 runge-kutta-methods runge-kutta euler-method euler-midpoint-method simpson-rule
Language:Python 5
auralius / matlab-ode-solvers
Implementation of several popular solvers for solving ODEs in MATLAB.
ode-solver backward-euler forward-euler runge-kutta-methods heun-method dormand-prince
Language:MATLAB 4
david-perez / annu
A collection of classical algorithms to solve ODEs and boundary value problems
differential-equations runge-kutta-methods runge-kutta-adaptive-step-size runge-kutta-fehlberg adams-bashforth-methods milne-simpson shooting-method
Language:MATLAB 4
Rakibul73 / CCE-312---Numerical-Methods-Sessional-Code
Numerical Method Codes in Python
bisection-method cholesky-factorization cramers-rule euler-method false-position-method gauss-elimination gauss-jordan linear-regression polynomial-regression runge-kutta-methods simpson-rule trapezoidal-method
Language:Jupyter Notebook 4
Numerical-Method
ThisIs-Developer / Numerical-Method
A numerical method is an approximate computer method for solving a mathematical problem which often has no analytical solution.
bisection-method cprogramming euler-method gauss-elimination gauss-jordan lu-factorization newton-interpolation newton-raphson numerical-methods regula-falsi runge-kutta-methods secant-method taylor-method trapezoidal-method
Language:C 4
cinaral / rk4_solver
Simple header-only C++ ODE solver library for Runge-Kutta 4th order method with events.
numerical-integration rk4 runge-kutta-4 header-only bouncing-ball cpp matlab ode runge-kutta ode-solver runge-kutta-methods
Language:C++ 3
ClementeSerrano / satellite-modeling
Mathematical model based on the numerical analysis of ordinary differential equations for the capture of satellite positions and velocities
differential-equations matlab satellite-tracking runge-kutta-methods two-body-problem newtonian-mechanics
Language:MATLAB 3
Dartacavalo / ModelisationControleEDO
Projet en C++ | Réalisation d'un moteur de résolution d'EDO et illustration de la théorie du contrôle linéaire
control-systems linear-theory ode ode-solver edo euler-method integral runge-kutta runge-kutta-4 runge-kutta-methods simpson-method
Language:C++ 3
discreet26 / NUMERICAL-METHODS
CODE FOR ALL MODULES OF NUMERICAL METHODS
bisection-method newton-raphson regula-falsi gauss-elimination gauss-seidel gauss-jacobi gauss-jordan-elimination lagrange-interpolation newton-interpolation simpson-rule trapezoidal-method runge-kutta-methods numerical-methods
Language:C 3
HussainAbdi / Gravity-Simulator
N-body space simulator that uses the Runge-Kutta 4 numerical integration method to solve two first order differential equations derived from the second order differential equation that governs the motion of an orbiting celestial. Also has preset demos for two-body and three-body circular orbits which use parametric equations. Uses the SFML (Simple and Fast Multimedia Library) library: https://www.sfml-dev.org
c-plus-plus gravity gravity-simulate space orbit orbital-simulation orbits planet simulation n-body n-body-simulator runge-kutta runge-kutta-methods rk4 numerical-methods numerical-integration celestial celestial-bodies simulator
Language:C++ 3
jchristopherson / diffeq
A modern Fortran library providing an object-oriented approach to solving ordinary differential equations.
differential-equations runge-kutta-methods stability-analysis
Language:Fortran 3
ruiawang / Numerical-Analysis-Algorithms
Implementations of various Algorithms used in Numerical Analysis, from root-finding up to gradient descent and numerically solving PDEs.
differential-equations gradient-descent numerical-methods adams-bashforth adams-bashforth-moulton aitken-delta-squared-method broyden-method euler-method finite-difference-method fixed-point-iteration gauss-seidel modified-euler-method runge-kutta-methods secant-method spline-interpolation steepest-descent numerical-analysis
Language:MATLAB 3
sammylton / Numerical-Methods-in-FORTRAN
My codes for the courses of Computer Programming, and Numerical and Computational Physics at IITR
simpson-rule monte-carlo newton-raphson trapezoidal-method sorting-algorithms bubble-sort insertion-sort palindrome gauss-elimination gauss-jordan euler-method modified-euler-method runge-kutta-methods lu-decomposition linear-regression least-square-regression
Language:Fortran 3
vlakir / cleanode
Сustomized collection of ODE solvers
ode ode-solver mathematics python numerical-methods numerical-integration scientific-computing engineering runge-kutta runge-kutta-methods everhart orbital-mechanics orbital-simulation celestial-mechanics astronomical-algorithms integrator
Language:Python 3
adisen99 / Differential-Equations
Python and MATLAB code to find the solution of First Order Differential Equations given a certain initial/boundary condition.
differential-equations numerical-methods numerical-analysis euler-methods runge-kutta-methods milne predictor-corrector
Language:Python 2
ashnaider / DifferentialEquations
Numerical solutions of differential equations: Eulers, Euler-Cauchy, Runge-Kutta, midpoint method
differential-equations euler-method euler-cauchy-method runge-kutta midpoint-me runge-kutta-methods
Language:Python 2
devkapupara / Runge-Kutta-4
RK-4 Approximation to a single and a System of ODE's when the initial conditions are provided.
runge-kutta-4 runge-kutta-methods
Language:Python 2
kirtan2605 / IITM-EE1103-Numerical_Methods
The assignments of the course EE1103, Numerical Methods, offered by Prof. Anil Prabhakar, Department of Electrical Engineering at IIT Madras.
numerical-methods iitm hamming-distance linear-interpolation cubic-interpolations lu-decomposition profiling ode-solver gnuplot numerical-integration trapezoid trapezoidal-method rombergs-method runge-kutta-methods c
Language:C 2
MartinK-99 / LotkaVolterraEquationsDormandPrince45
A solution to the Lotka-Volterra Equations is approximated using Dormand-Prince-45 method with adaptive step size control.
dormand-prince lotka-volterra lotka-volterra-equations runge-kutta-adaptive-step-size runge-kutta-methods
Language:Python 2
oliviercotte / Linear-differential-equation
ordinary-differential-equations lorenz-attractor runge-kutta runge-kutta-adaptive-step-size runge-kutta-4 runge-kutta-methods euler-method riemann-integral
Language:MATLAB 2
sanadafaneh97 / Numerical-Methods-to-Solve-Ordinary-Differential-Equations-with-Python
Sample Python code for Euler's method, Runge-Kutta methods, and Bulirsch Stoeir method, and more
runge-kutta-methods euler python numerical-methods differential-equations ode
2
Numerical_Analysis
shaswata56 / Numerical_Analysis
Numerical Analysis course repository.
octave matlab numerical-methods numerical-analysis bisection-method false-position-method newton-raphson gauss-seidel gauss-jacobi jaccobi euler-method runge-kutta-methods root-finding-methods linear-equations differential-equations
Language:MATLAB 2
Zenchiyu / diffusion
Deep Learning Project on Diffusion Models for Image Generation
celeba cifar10 deep-learning diffusion-models fashionmnist generative-models euler-method heun-method runge-kutta-methods unet image-generation
Language:Python 2

runge-kutta-methods

woodward / integrator

aromanro / ElectricField

mino2357 / Sample_program_ODE

Hevenicio / 3D-Lorenz-Attractor-simulation-with-python

DelSquared / Brownian-Motion

aromanro / CompLotkaVolterra

Ahmed-alkharusi / Interesting-problems-

jahrWork / NumericalHUB

Thierry-Dumont / Odes-NG

Nicerova7 / Numerical-analysis

devkapupara / ODE-Methods

noranta4 / Three-body-problem

aliasgharheidaricom / RUN-Beyond-the-Metaphor-An-Efficient-Optimization-Algorithm-Based-on-Runge-Kutta-Method

fritzwill / numerical-methods

auralius / matlab-ode-solvers

david-perez / annu

Rakibul73 / CCE-312---Numerical-Methods-Sessional-Code

ThisIs-Developer / Numerical-Method

cinaral / rk4_solver

ClementeSerrano / satellite-modeling

Dartacavalo / ModelisationControleEDO

discreet26 / NUMERICAL-METHODS

HussainAbdi / Gravity-Simulator

jchristopherson / diffeq

ruiawang / Numerical-Analysis-Algorithms

sammylton / Numerical-Methods-in-FORTRAN

vlakir / cleanode

adisen99 / Differential-Equations

ashnaider / DifferentialEquations

devkapupara / Runge-Kutta-4

kirtan2605 / IITM-EE1103-Numerical_Methods

MartinK-99 / LotkaVolterraEquationsDormandPrince45

oliviercotte / Linear-differential-equation

sanadafaneh97 / Numerical-Methods-to-Solve-Ordinary-Differential-Equations-with-Python

shaswata56 / Numerical_Analysis

Zenchiyu / diffusion