Runge-Kutta Numerical Integration Project

Overview

This project implements various algorithms for solving ordinary differential equations (ODEs) using different approaches: CUDA, OpenMP, MPI, and sequential C++. Each implementation showcases the versatility and performance of the Runge-Kutta method in different computational contexts.

Files and Summaries

1. Makefile

Defines compilation rules for C++ and CUDA implementations.

2. rk4.cu

Implements a CUDA kernel to solve an ODE using the Runge-Kutta method on the GPU.

3. rk4.py

Python implementation that mimics the functionality of the C++ CUDA code.

4. rk4_mpi.cpp

MPI implementation for parallel execution across multiple processes.

5. rk4_no_cuda.cpp

Sequential C++ implementation of the Runge-Kutta method without GPU acceleration.

6. rk4_no_cuda_omp.cpp

C++ implementation that uses OpenMP for parallel processing.

Overall Summary

The project successfully implements various Runge-Kutta algorithms.

Contribution

Contributions are welcome! Please feel free to submit pull requests or issues for further improvements.

License

This project is licensed under the MIT License.