embedded runge-kutta pair,
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.
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.
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