The Accurate Numerical Solution of Highly Oscillatory Ordinary Differential Equations
<p>We consider systems of ordinary differential equations with rapidly oscillating solutions. Conventional numerical methods require an excessively small time step (Δt = 0(εh), where h is the step size necessary for the resolution of a smooth function of t and 1/ε me...
Internet
https://thesis.library.caltech.edu/1601/4/scheid_re_1982.pdfScheid, Robert Elmer, Jr (1982) The Accurate Numerical Solution of Highly Oscillatory Ordinary Differential Equations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/4JVY-JB67. https://resolver.caltech.edu/CaltechETD:etd-05042006-103859 <https://resolver.caltech.edu/CaltechETD:etd-05042006-103859>