Russell Nonlin - Numerical Continuation methods to solve nonlinear systems of equations

This crate is part of Russell - Rust Scientific Library

Contents

• Russell Nonlin - Numerical Continuation methods to solve nonlinear systems of equations
  • Introduction
    • Documentation
    • References
  • Installation
    • Setting Cargo.toml
    • Optional features
  • 🌟 Examples

    • Simple example

Introduction

🚧🚧🚧 WORK IN PROGRESS 🚧🚧🚧

This library implements solvers for nonlinear systems of equations using Numerical Continuation, in particular, Predictor-Corrector algorithms based on the Euler-Newton(-Raphson) method (See References #1 and #2).

Documentation

• — russell_nonlin documentation

References

1. Doedel EJ (2007) Lecture Notes on Numerical Analysis of Nonlinear Equations. Numerical Continuation Methods for Dynamical Systems: Path following and boundary value problems. Ed. by B Krauskopf, HM Osinga, J Galán-Vioque. Dordrecht: Springer Netherlands, pp. 1–49. doi: 10.1007/978-1-4020-6356-5 1

2. Allgower EL, Georg K (2003) Introduction to Numerical Continuation Methods. Society for Industrial and Applied Mathematics. doi: 10.1137/ 1.9780898719154

Installation

This crate depends on some non-rust high-performance libraries. See the main README file for the steps to install these dependencies.

Setting Cargo.toml

👆 Check the crate version and update your Cargo.toml accordingly:

[dependencies]
russell_nonlin = "*"

Optional features

The following (Rust) features are available:

• intel_mkl: Use Intel MKL instead of OpenBLAS
• local_suitesparse: Use a locally compiled version of SuiteSparse
• with_mumps: Enable the MUMPS solver (locally compiled)

Note that the main README file presents the steps to compile the required libraries according to each feature.

🌟 Examples

This section illustrates how to use russell_nonlin. See also:

• More examples on the documentation

• Examples directory

Simple example

TODO