Numerical methods for ordinary differential equations: Euler, Improved Euler, Runge-Kutta.

Last update: Apr 29, 2022

Overview

Numerical methods

Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). Their use is also known as "numerical integration", although this term can also refer to the computation of integrals.

In this app we use:

Euler
Improved Euler
Runge-Kutta

Check PDF report for more details.

How to use

You can install and run from source with:

git clone https://github.com/AlekseyKorshuk/numerical-methods --recursive
cd numerical-methods
pip install -r requirements.txt
python main.py

Now visit 127.0.0.1:8050.

Sample results

Graphs

Exact and numerical solutions

Total approximation error depending on the number of grid cells

Local truncation error

Global truncation error

UML diagram

Toggle callback graph

Deep learning library for solving differential equations and more

DeepXDE Voting on whether we should have a Slack channel for discussion. DeepXDE is a library for scientific machine learning. Use DeepXDE if you need

1.4k Dec 29, 2022

PyTorch implementation for Score-Based Generative Modeling through Stochastic Differential Equations (ICLR 2021, Oral)

Score-Based Generative Modeling through Stochastic Differential Equations This repo contains a PyTorch implementation for the paper Score-Based Genera

757 Jan 4, 2023

Python framework for Stochastic Differential Equations modeling

SDElearn: a Python package for SDE modeling This package implements functionalities for working with Stochastic Differential Equations models (SDEs fo

4 May 10, 2022

Visualizations of some specific solutions of different differential equations.

Diff_sims Visualizations of some specific solutions of different differential equations. Heat Equation in 1 Dimension (A very beautiful and elegant ex

2 Jan 13, 2022

Combines power of torch, numerical methods to conquer and solve ALL {O,P}DEs

torch_DE_solver Combines power of torch, numerical methods and math overall to conquer and solve ALL {O,P}DEs There are three examples to provide a li

28 Dec 12, 2022

Numerical Methods with Python, Numpy and Matplotlib

Numerical Bric-a-Brac Collections of numerical techniques with Python and standard computational packages (Numpy, SciPy, Numba, Matplotlib ...). Diffe

10 Dec 20, 2021

FuseDream: Training-Free Text-to-Image Generationwith Improved CLIP+GAN Space OptimizationFuseDream: Training-Free Text-to-Image Generationwith Improved CLIP+GAN Space Optimization

FuseDream This repo contains code for our paper (paper link): FuseDream: Training-Free Text-to-Image Generation with Improved CLIP+GAN Space Optimizat

191 Dec 31, 2022

Using NumPy to solve the equations of fluid mechanics together with Finite Differences, explicit time stepping and Chorin's Projection methods

Computational Fluid Dynamics in Python Using NumPy to solve the equations of fluid mechanics 🌊 🌊 🌊 together with Finite Differences, explicit time

4 Nov 12, 2022

An okayish python script to generate a random Euler circuit with given number of vertices and edges.

Euler-Circuit-Test-Case-Generator An okayish python script to generate a random Euler circuit with given number of vertices and edges. Executing the S

1 Nov 13, 2021

Simple program to easily view Euler parameters in 3D.

5 Aug 20, 2021

Simple Linear 2nd ODE Solver GUI - A 2nd constant coefficient linear ODE solver with simple GUI using euler's method

Simple_Linear_2nd_ODE_Solver_GUI Description It is a 2nd constant coefficient li

4 Feb 5, 2022

Double pendulum simulator using a symplectic Euler's method and Hamiltonian mechanics

Symplectic Double Pendulum Simulator Double pendulum simulator using a symplectic Euler's method. The program calculates the momentum and position of

1 Jan 12, 2022

aka "Bayesian Methods for Hackers": An introduction to Bayesian methods + probabilistic programming with a computation/understanding-first, mathematics-second point of view. All in pure Python ;)

Bayesian Methods for Hackers Using Python and PyMC The Bayesian method is the natural approach to inference, yet it is hidden from readers behind chap

25.1k Jan 2, 2023

A PyTorch-based open-source framework that provides methods for improving the weakly annotated data and allows researchers to efficiently develop and compare their own methods.

Knodle (Knowledge-supervised Deep Learning Framework) - a new framework for weak supervision with neural networks. It provides a modularization for se

93 Nov 6, 2022

Here, I have discuss the three methods of list reversion. The three methods are built-in method, slicing method and position changing method.

Three-different-method-for-list-reversion Here, I have discuss the three methods of list reversion. The three methods are built-in method, slicing met

4 Sep 24, 2021

Implementation of temporal pooling methods studied in [ICIP'20] A Comparative Evaluation Of Temporal Pooling Methods For Blind Video Quality Assessment

5 Sep 16, 2022

A package with multiple bias correction methods for climatic variables, including the QM, DQM, QDM, UQM, and SDM methods

9 Nov 18, 2022

Analog clock that shows the weather instead of the actual numerical hour it points to.

Eli's weatherClock An digital analog clock but instead of showing the hours, the clock shows the weather at that hour of the day. So instead of showin

154 Dec 1, 2022

The FinQA dataset from paper: FinQA: A Dataset of Numerical Reasoning over Financial Data

Data and code for EMNLP 2021 paper "FinQA: A Dataset of Numerical Reasoning over Financial Data"

114 Dec 29, 2022

Releases(v1.0.0)

v1.0.0(Oct 25, 2021)

Full Changelog: https://github.com/AlekseyKorshuk/numerical-methods/commits/v1.0.0
Source code(tar.gz)
Source code(zip)

Owner

Aleksey Korshuk

Telegram: https://t.me/goodimpression

GitHub Repository https://numerical-methods-ode.herokuapp.com/

Active Transport Analytics Model (ATAM) is a new strategic transport modelling and data visualization framework for Active Transport as well as emerging micro-mobility modes

{ATAM} Active Transport Analytics Model Active Transport Analytics Model (“ATAM”) is a new strategic transport modelling and data visualization framew

0 Jan 12, 2022

demir.ai Dataset Operations

demir.ai Dataset Operations With this application, you can have the empty values (nan/null) deleted or filled before giving your dataset to machine le

8 Nov 01, 2022

The Spectral Diagram (SD) is a new tool for the comparison of time series in the frequency domain

The Spectral Diagram (SD) is a new tool for the comparison of time series in the frequency domain. The SD provides a novel way to display the coherence function, power, amplitude, phase, and skill sc

3 Oct 10, 2022

Python Data Structures for Humans™.

Schematics Python Data Structures for Humans™. About Project documentation: https://schematics.readthedocs.io/en/latest/ Schematics is a Python librar

2.5k Dec 28, 2022

Apache Superset is a Data Visualization and Data Exploration Platform

Superset A modern, enterprise-ready business intelligence web application. Why Superset? | Supported Databases | Installation and Configuration | Rele

50k Jan 06, 2023

Data Visualization Guide for Presentations, Reports, and Dashboards

This is a highly practical and example-based guide on visually representing data in reports and dashboards.

395 Dec 29, 2022

This project is an Algorithm Visualizer where a user can visualize algorithms like Bubble Sort, Merge Sort, Quick Sort, Selection Sort, Linear Search and Binary Search.

Algo_Visualizer This project is an Algorithm Visualizer where a user can visualize common algorithms like "Bubble Sort", "Merge Sort", "Quick Sort", "

4 Feb 07, 2022

A research of IT labor market based especially on hh.ru. Salaries, rate of technologies and etc.

hh_ru_research Проект реализован в учебных целях анализа рынка труда, в особенности по hh.ru Input data В качестве входных данных используются сериали

3 Sep 07, 2022

Visualize the training curve from the *.csv file (tensorboard format).

Training-Curve-Vis Visualize the training curve from the *.csv file (tensorboard format). Feature Custom labels Curve smoothing Support for multiple c

7 Feb 23, 2022

Interactive plotting for Pandas using Vega-Lite

pdvega: Vega-Lite plotting for Pandas Dataframes pdvega is a library that allows you to quickly create interactive Vega-Lite plots from Pandas datafra

342 Oct 26, 2022

Streamlit component for Let's-Plot visualization library

streamlit-letsplot This is a work-in-progress, providing a convenience function to plot charts from the Lets-Plot visualization library. Example usage

9 Nov 03, 2022

🎨 Python3 binding for `@AntV/G2Plot` Plotting Library .

PyG2Plot 🎨 Python3 binding for @AntV/G2Plot which an interactive and responsive charting library. Based on the grammar of graphics, you can easily ma

990 Jan 05, 2023

Python ts2vg package provides high-performance algorithm implementations to build visibility graphs from time series data.

ts2vg: Time series to visibility graphs The Python ts2vg package provides high-performance algorithm implementations to build visibility graphs from t

26 Dec 17, 2022