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math.NA2014
Error analysis of trigonometric integrators for semilinear wave equations
Ludwig Gauckler
An error analysis of trigonometric integrators (or exponential integrators) applied to spatial semi-discretizations of semilinear wave equations with periodic boundary conditions i…
math.NA2014
Long-term analysis of numerical integrators for oscillatory Hamiltonian systems under minimal non-resonance conditions
David Cohen, Ludwig Gauckler, Ernst Hairer +1
For trigonometric and modified trigonometric integrators applied to oscillatory Hamiltonian differential equations with one or several constant high frequencies, near-conservation…