scholarly journals A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian systems

2021 ◽  
Author(s):  
Bin Wang ◽  
Xinyuan Wu
Keyword(s):  
Hamiltonian Systems ◽  
Oscillatory Hamiltonian Systems ◽  
Highly Oscillatory

scholarly journals Long-term analysis of numerical integrators for oscillatory Hamiltonian systems under minimal non-resonance conditions

2014 ◽  
Vol 55 (3) ◽  
pp. 705-732 ◽  
Author(s):  
David Cohen ◽  
Ludwig Gauckler ◽  
Ernst Hairer ◽  
Christian Lubich
Keyword(s):  
Hamiltonian Systems ◽  
Oscillatory Hamiltonian Systems ◽  
Numerical Integrators ◽  
Term Analysis

Symplectic schemes for highly oscillatory Hamiltonian systems with varying fast frequencies

2010 ◽  
Vol 348 (17-18) ◽  
pp. 1033-1038
Author(s):  
Matthew Dobson ◽  
Claude Le Bris ◽  
Frédéric Legoll
Keyword(s):  
Hamiltonian Systems ◽  
Oscillatory Hamiltonian Systems ◽  
Highly Oscillatory ◽  
Symplectic Schemes
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