A library for solving differential equations using neural networks based on PyTorch, used by multiple research groups around the world, including at Harvard IACS.

library of numerical methods using Armadillo

compute an approximate minimal surface without recursion ("in one shot")

A zoo of implementations of differential equation problems in NumPy and JAX. Oscillators, chemical reactions, n-body problems, epidemiological models, IVPs, BVPs, and more.

Bio-insect flapping wing micro aerial vehicle (FWMAV) is a kind of centimeter-scale air-flying robot which imitates the flapping-wing motion pattern of flying insects in order to realize flying ability and agile maneuverability similar to flapping-winged flying insects. Because of its future broad application prospects in the field of military a…

Implementation of Numerical Analysis algorithms/methods in Python

Robust Flamelet Solver: Mixture-Fraction based Flamelet solver with arc-length continuation

Numerical Analysis Problems and Solutions

PolyMGen is a library for parallel quality mesh generation of many polytopes, such as polygons and polyhedrons

I use piecewise linear function to approximate the solution to a boundary value problem.

Two-dimensional finite element method on rectangles

A Modern Fortran translation of the TWOPNT program for Boundary Value Problems

This work proposes a hierarchically normalized physics-informed neural network (hnPINN) to solve PDE problems.

Implementing 2D Poisson's Equation using the Finite Difference Method and Iterative Solvers for matrices. Explored LU decomposition & the Thomas algorithm, Jacobi, Gauss-Seidel, and the Standard Over-Relaxation (SOR) method. MATH 4315: Advanced Scientific Computing with Professor Weihua Geng.

General Boundary Value Problem solver based on Scipy's solve_bvp algorithm.

The repository contains python code for 2D steady-state heat diffusion problems in different coordinate systems like cartesian, polar, spherical etc. This is a topic of numerical analysis, where methods like shooting method, finite difference method, CVM and weighted residual methods are used to solve a particular BVP. Python code has been devel…

Computes the boundary crossing probability for a general diffusion process and time-dependent boundary.

A repo for keeping various numerical Solvers

C OpenMP and CUDA implementation of parallel ensembling of global stiffness matrix.

This repository provides essential numerical algorithms for solving mathematical problems. Covering linear equations, differential equations and more, it's a valuable resource for students and professionals in science and engineering.