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.

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

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

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

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.

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

Numerical integration in D dimensions using the Monte Carlo method.

Numerical integration in one dimension using the Monte Carlo method.

Numerical integration using the trapezoidal and Simpson's rules.