Hamiltonian path problem

Algorithm

Theory of computation

Discrete mathematics

Boundary value problem

Applied mathematics

Hamiltonian system

Mathematical optimization

Hamiltonian (control theory)

Spectral method

Hamiltonian path

Graph

Mathematics

Mathematical analysis

Numerical analysis

Numerical Algorithms

Multi-frequency, highly-oscillatory Hamiltonian problems derive from the mathematical modelling of many real life applications. We here propose a variant of Hamiltonian Boundary Value Methods (HBVMs), which is able to efficiently deal with the numerical solution of such problems.

On the effectiveness of spectral methods for the numerical solution of multi-frequency highly oscillatory Hamiltonian problems