High Order Numerical Methods for Highly Oscillatory Problems
نویسندگان
چکیده
This paper is concerned with the numerical solution of nonlinear Hamiltonian oscillatory systems of second-order differential equations of a special form. We present numerical methods of high asymptotic as well as time stepping order based on the modulated Fourier expansion of the exact solution. Furthermore, numerical experiments on the modified Fermi-Pasta-Ulam problem support our investigations. 1991 Mathematics Subject Classification. 34E05 and 34E13 and 65L20 and 65P10. March 4, 2014.
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