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Numerical Continuation Library

Project Description

Repository for EMAT30008 Scientific Computing - Numerical continuation coursework.

Description

This software serves as a general numerical continuation library, with some of the following capabilities;

  • OSE Solver - used for approximating the solutions of ordinary differential equation (ODE) initial value problems (IVP), through use of explicit iterative methods .
  • Numerical Shooting - used for approximating the solutions to ODE boundary value problems (BVP).
  • Natural Parameter Continuation (using Pseudo-arclength) - used to track the respective limit cycles or steady-states within the system, providing useful insights into bifurcations and stable/critical points
  • PDE Solver - used to find the solutions to PDE initial value problems (IVP), through use of finite-difference methods.

Contributing

Pull requests are welcome. For major changes, please open an issue first to discuss what you would like to change.

Please make sure to update tests as appropriate.

Creators

Kieren Sharma

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Repository for EMAT30008: Scientific Computing coursework.

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