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NumeriXCore

NumeriXCore is a high-performance numerical analysis library designed for various scientific and engineering applications. This library is implemented in C++ and can be compiled to WebAssembly using Emscripten, making it suitable for both native and web-based applications.

Features

  • Iterative Methods for Solving Equations
  • Solutions of Systems of Linear Equations
  • Handling of Special Matrices
  • Solutions for Simultaneous Nonlinear Equations
  • Computation of Eigenvalues and Eigenvectors
  • Polynomial Interpolation and Approximation
  • Numerical Integration Techniques
  • Solutions to Initial and Boundary Value Problems for ODEs
  • Finite Element Method

Getting Started

Prerequisites

  • C++17 or higher
  • CMake 3.0 or higher
  • Emscripten (for WebAssembly build)

Building the Library

  1. Clone the repository:

    git clone https://github.com/PhlyingPhalanges/NumeriXCore.git
cd NumeriXCore

  2. Create a build directory and navigate into it:

    mkdir build
cd build

  3. Run CMake to configure the project:

    cmake ..

  4. Build the project:

    make

Building for WebAssembly

  1. Install Emscripten: Follow the instructions on the Emscripten website.

  2. Activate the Emscripten environment:

    source /path/to/emsdk/emsdk_env.sh

  3. Create a build directory and navigate into it:

    mkdir build
cd build

  4. Run CMake with Emscripten toolchain:

    emcmake cmake ..

  5. Build the project:

    emmake make

Usage

Include the NumeriXCore library in your project and link it during the build process. Here is a simple example:

C++

#include <iostream>
#include "iterative_methods.hpp"

int main() {
    // Example usage of the library
    double result = simple_iteration([](double x) { return cos(x); }, 1.0, 1e-6);
    std::cout << "Root: " << result << std::endl;
    return 0;
}

Acknowledgements

This library was developed using insights from two key resources, one on numerical analysis and the other on C++ programming:

  • Süli, E., & Mayers, D. F. (2003). An Introduction to Numerical Analysis. Cambridge: Cambridge University Press.
  • Stroustrup, B. (2013). The C++ programming language (4th ed.). Addison-Wesley.

These resources provided a solid foundation in numerical methods and C++, which was instrumental in the development of NumeriXCore.