On the effectiveness of spectral methods for the numerical solution of multi-frequency highly-oscillatory Hamiltonian problems
arXiv:1711.0881049 citationsh-index: 36
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It addresses the challenge of numerically solving multi-frequency highly-oscillatory Hamiltonian problems, which arise in many real-life applications, by extending an existing method.
The paper proposes a variant of Hamiltonian Boundary Value Methods (HBVMs) for efficiently solving multi-frequency highly-oscillatory Hamiltonian problems, demonstrating effectiveness through numerical tests.
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.