Magnetic Mirror

embedded runge-kutta pair, integration, set of odes

The trajectory of a charged particle propagating in a non-uniform magnetic field is calculated by solving the Lorentz force law using an embedded Runge-Kutta pair. The results show that the particle is mirrored.

  Oil Spill

integration, interpolation

Simulating movement of an oil spill outside the norwegian west-coast simplified as dissolvment of a chemical.

  Hydrogen Molecule Ion

schrödinger equation

Employing Monte Carlo integration to determine the "shape" of the hydrogen molecule ion.

  The Size of a Hydrogen Atom - Monte Carlo Integration

monte carlo

Computing the size of the hydrogen atom using Monte Carlo integration.

  Sloshing

simpson's method, newton, euler, eigenvalue, poisson's equation, integration, interpolation

Analyzing sloshing using a numerical approach based on a linear model, which reduces the problem to a Steklov eigenvalue problem.

  Verlet Integration

ode

Solving a second-order ordinary differential equation (Newton's second law) using Verlet integration.

  Monte Carlo Integration in D Dimensions

monte, carlo

Numerical integration in D dimensions using the Monte Carlo method.

  Monte Carlo Integration in One Dimension

monte, carlo

Numerical integration in one dimension using the Monte Carlo method.

  Numerical Integration

method, simpson's

Numerical integration using the trapezoidal and Simpson's rules.