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Ian Hoppock's Projects

boris-algorithm icon boris-algorithm

The Boris algorithm for numerically tracing non-relativistic charged particles in electromagnetic fields, written in C, matlab, and python

heat_equation icon heat_equation

A solution, written in C, to the heat equation using Crank-Nicholson and finite differences.

inviscid_burgers icon inviscid_burgers

Solution to Burger's Equation (inviscid), written in C, using Adams-Bashforth Methods. These methods include the one, two, and three step algorithms.

korteweg-de_vries icon korteweg-de_vries

A solution, written in C, to Korteweg de Vries using the fourth order Runge-Kutta method and finite differences.

magnetic_dipole icon magnetic_dipole

Models a charged particle moving in a magnetic dipole, and displays the three adiabatic invariants, written in C, matlab, and python

qr_factorisation_julia icon qr_factorisation_julia

Three algorithms (classical GS, modified GS, and Householder) for QR factorisation written in Julia. Included is a standard backsubstitution algorithm also for Julia.

stochastic_heating icon stochastic_heating

Test particle simulation of stochastic heating via KAV wave-particle interaction

viscous_burgers icon viscous_burgers

Two solutions, written in MATLAB, for solving the viscous Burger's equation. They are both spectral methods: the first is a Fourier Galerkin method, and the second is Collocation on the Tchebyshev-Gauß-Lobatto points.

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