Bounds on asymptotic-numerical solvers for ordinary differential equations with extrinsic oscillation☆
暂无分享,去创建一个
Bin Wang | Bin Wang | Guolong Li | Guolong Li | Bin Wang
[1] Xinyuan Wu,et al. Structure-Preserving Algorithms for Oscillatory Differential Equations , 2013 .
[2] G. Gentile,et al. Frequency locking in an injection-locked frequency divider equation , 2008, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[3] Bin Wang,et al. Novel improved multidimensional Störmer-Verlet formulas with applications to four aspects in scientific computation , 2013, Math. Comput. Model..
[4] F. Verhulst. Nonlinear Differential Equations and Dynamical Systems , 1989 .
[5] E. Hairer,et al. Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations , 2004 .
[6] A. Iserles,et al. Asymptotic solvers for oscillatory systems of differential equations , 2011 .
[7] Xinyuan Wu,et al. A new high precision energy-preserving integrator for system of oscillatory second-order differential equations , 2012 .
[8] Marissa Condon,et al. On second-order differential equations with highly oscillatory forcing terms , 2010, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[9] J. Roychowdhury. Analyzing circuits with widely separated time scales using numerical PDE methods , 2001 .
[10] Xinyuan Wu,et al. On extended RKN integrators for multidimensional perturbed oscillators with applications , 2012 .
[11] J. M. Sanz-Serna,et al. Modulated Fourier expansions and heterogeneous multiscale methods , 2009 .
[12] Marissa Condon,et al. ON HIGHLY OSCILLATORY PROBLEMS ARISING IN ELECTRONIC ENGINEERING , 2009 .
[13] E. Dautbegovic,et al. An efficient nonlinear circuit simulation technique , 2004, IEEE Transactions on Microwave Theory and Techniques.
[14] A. Iserles,et al. Highly Oscillatory Quadrature: The Story soFar , 2006 .
[15] A. Iserles,et al. On systems of differential equations with extrinsic oscillation , 2010 .
[16] N.B. Carvalho,et al. Simulation of RF circuits driven by modulated signals without bandwidth constraints , 2002, 2002 IEEE MTT-S International Microwave Symposium Digest (Cat. No.02CH37278).
[17] Marissa Condon,et al. On numerical methods for highly oscillatory problems in circuit simulation , 2009 .
[18] Ernst Hairer,et al. Modulated Fourier Expansions of Highly Oscillatory Differential Equations , 2003, Found. Comput. Math..
[19] Xinyuan Wu,et al. A Filon-type asymptotic approach to solving highly oscillatory second-order initial value problems , 2013, J. Comput. Phys..