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math.NA2015★ 3 cited
Asymptotic solvers for ordinary differential equations with multiple frequencies
Marissa Condon, Alfredo Deano, Jing Gao +1
We construct asymptotic expansions for ordinary differential equations with highly oscillatory forcing terms, focussing on the case of multiple, non-commensurate frequencies. We de…
math.NA2012★ 3 cited
A Gaussian quadrature rule for oscillatory integrals on a bounded interval
Andreas Asheim, Alfredo Deaño, Daan Huybrechs +1
We investigate a Gaussian quadrature rule and the corresponding orthogonal polynomials for the oscillatory weight function on the interval . We show that such a r…