Modern Fortran implementation of the DDEABM Adams-Bashforth algorithm
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Updated
Jan 19, 2025 - Fortran
Modern Fortran implementation of the DDEABM Adams-Bashforth algorithm
In numerical analysis, a numerical method is a mathematical tool designed to solve numerical problems. The implementation of a numerical method with an appropriate convergence check in a programming language is called a numerical algorithm
Modern Fortran Edition of the DVODE ODE Solver
Implementations of various Algorithms used in Numerical Analysis, from root-finding up to gradient descent and numerically solving PDEs.
Algorithms used in classes. Numerical methods for ordinary differential equations.
Collection of fixed-step IVP solvers. Includes support for matrix-valued IVPs, and provides functions for generating IVP solver equations.
Linear Multistep Method code written in MATLAB for numerical approximations of ODEs.
Lotka-Volterra approximations using various numerical methods
Repository of my work with Hybrid Systems, covering topics from Reachability Analysis to Predicate Logic
Integração: Newton-Cotes, Gauss-Legendre, Gauss-Hermite, Gauss-Laguerre, Gauss-Чебышёв. Autovalores e Autovetores. Problema de Valor Inicial (PVI): Método de Euler, Runge-Kutta, Adams-Bashforth. Problema de Valor de Contorno (PVC). Derivada: Expansão em Série de Taylor, Função de Interpolação de Newton.
Numerical Solution for Ordinary Differential Equations - Euler, Ralston's Second-Order RK, Fourth-Order Runge-Kutta, NSS Heun, Adams-Bashforts, Adams-Moulton
Repositório para os códigos da matéria de Métodos Numéricos para Equações Diferenciais IPRJ01-07584
Numerical Analysis course Algorithms.
Numerical simulations of motion in Python using Euler, Runge-Kutta, Leapfrog, and Adams-Bashforth methods. Simulates spiral, circular, harmonic, and rocket motion with visualizations and output logging.
I have tried to explain the multi-step-methods of solving ODEs via Adams-Bashforth and Adams-Moulton methods which are explicit and implicit methods respectively. I also have implemented them explicitly to solve for a system of ODEs, I have also done an explicit implementation of fourth order Runge-Kutta method in the process as it is needed.
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