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math.NA2022
Phase function methods for second order inhomogeneous linear ordinary differential equations
Kirill Serkh, James Bremer
It is well known that second order homogeneous linear ordinary differential equations with slowly varying coefficients admit slowly varying phase functions. This observation underl…
math.NA2022★ 1 cited
On the adaptive Levin method
Shukui Chen, Kirill Serkh, James Bremer
The Levin method is a well-known technique for evaluating oscillatory integrals, which operates by solving a certain ordinary differential equation in order to construct an antider…
math.NA2022★ 1 cited
Phase function methods for second order linear ordinary differential equations with turning points
James Bremer
It is well known that second order linear ordinary differential equations with slowly varying coefficients admit slowly varying phase functions. This observation is the basis of th…