The method of stationary phase and the centred-difference approximation are used to generate the finite-difference scheme for solving Klein-Gordon equation in MATLAB.

Euler's and Runge-Kutta methods comparison on solving initial value problem on Lotka-Volterra equations and other functions

Bimetric 3+1 evolution

Algorithms and theory exercises for my Numerical Methods II classes. Most codes made in python.

The first task for the course "Numerical Methods for Initial Value Problem" in TAU 2019

A repo for keeping various numerical Solvers

Bimetric 3+1 evolution

Formulas of this year's [2024] NPTEL Course titled Advanced Computational Techniques

Academic work on Finite Element Method

Repositório com implementações de métodos numéricos em Python desenvolvido ao longo da disciplina DCC008X - Cálculo Numérico

Solves initial value problem of SIQRD equations. Optimizes coefficients of this pandemic model, so that simualtions match observed. Implements three IVP schemes and two gradient optimization methods with line search using Wolfe conditions.

The final project for the course "Numerical Methods for Initial Value Problem" in TAU 2019

Euler's Method in Python to approximate solution of IVPs (differential equations)

Differential equations' solutions in C developed during the Computational Mathematics course @cse.uoi.gr

Test Set for Initial Value Problems

Here, we will provide a PyTorch regime to handle the partial differential equation solution of the heat equation by executing Deep Kolmogorov Method of Beck et. al.

Numerical Solution for Ordinary Differential Equations - Euler, Ralston's Second-Order RK, Fourth-Order Runge-Kutta, NSS Heun, Adams-Bashforts, Adams-Moulton

Sample app for visualizing profiles caused by different differential equations

Numerically computing the dynamics of mechanical systems.

Solving various PDEs by employing Siren, with JAX implementation.