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# System prepended metadata

title: Note on Numerical Methods
tags: [Numerical]

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Note on Numerical Methods
===

Hyperbolic PDE
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## Integrator
- [Lax–Friedrichs Method](/Qe2NrPTsRv6d_f2qQ58iKA)
- [Lax–Wendroff Method](/98BzjjX2QdamYL3xPSiXZA)
- [MUSCL-Hancock Method](/pAJJiLsBRzO2Pk2hQXynlg)

## Riemann Solver
- [Exact Riemann Solver](/6EDYvK8cTluhOrga2_2eog)
- [Roe Solver](/pHyFy1DOTea0nbrYDbddiw)
- [HLL Riemann Solver](/OOHy_7cGRu-EyVMhpbzUMw)
- [HLLC Riemann Solver](/nZM-l8FFRhKPp4KiLRno3A)


## Data Reconstruction
- [Slope Limiter](/Lo7nGzFjRiivPI09vF9V0g)

Elliptic PDE
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Parabolic PDE
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ODE
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Fast Fourier Transformation
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- [Fast Fourier transform](/cSs-oqPLRtCntkOZqWkZHA)
- [Discrete Fourier transform](/NWzw7FEiQHCjNXLnAOyO5A)
- [2D Poisson solver by using FFT](/aNMAqAPQQ66McDTFgUnSjQ)


Miscellaneous
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- [Gaussian field generations](/VN695tbZSWSM98meJNtWGw)
- [Gaussian field generations](/VN695tbZSWSM98meJNtWGw)
- [Trilinear interpolations in 3D space](/2j_ZVi13S3SY2tRDYrdPkA)
- [Analytical solution to Poisoon and Laplace equations](/ndH--jzlSLigMmtKXr_YLQ)
- [Two-dimensional integration](/tOh8k4jpSGi6KpMNqh1knA)
- [3D Poisson solver with Neumann boundary conditions](/M2HLZbjXRHyuzT0v3H1KMQ)

Reference
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* [Numerical Methods for Engineers](https://folk.ntnu.no/leifh/teaching/tkt4140/._main000.html)
* [SimJournal](https://ammar-hakim.org/sj/index.html)