期刊
NUMERICAL ALGORITHMS
卷 81, 期 4, 页码 1183-1202出版社
SPRINGER
DOI: 10.1007/s11075-018-0586-z
关键词
Multi-frequency highly oscillatory problems; Stiffly oscillatory problems; Hamiltonian problems; Energy-conserving methods; Spectral methods; Legendre polynomials; Hamiltonian boundary value methods
Recently, the numerical solution of multi-frequency, highly oscillatory Hamiltonian problems has been attacked by using Hamiltonian boundary value methods (HBVMs) as spectral methods in time. When the problem derives from the space semi-discretization of (possibly Hamiltonian) partial differential equations (PDEs), the resulting problem may be stiffly oscillatory, rather than highly oscillatory. In such a case, a different implementation of the methods is needed, in order to gain the maximum efficiency.
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