Mollified Impulse Methods for Highly Oscillatory Differential Equations
暂无分享,去创建一个
[1] A. Iserles. On the numerical quadrature of highly‐oscillating integrals I: Fourier transforms , 2004 .
[2] Antonio G. García. A Brief Walk Through Sampling Theory , 2002 .
[3] E. Hairer,et al. Numerical Energy Conservation for Multi-Frequency Oscillatory Differential Equations , 2005 .
[4] Ernst Hairer,et al. Simulating Hamiltonian dynamics , 2006, Math. Comput..
[5] Jack Wisdom,et al. The Origin of the Kirkwood Gaps: A Mapping for Asteroidal Motion Near the 3/1 Commensurability , 1982 .
[6] W. Arendt. Vector-valued laplace transforms and cauchy problems , 2002 .
[7] Ernst Hairer,et al. Solving Ordinary Differential Equations I: Nonstiff Problems , 2009 .
[8] J. Verwer,et al. Stability of Runge-Kutta Methods for Stiff Nonlinear Differential Equations , 1984 .
[9] Marlis Hochbruck,et al. Error analysis of exponential integrators for oscillatory second-order differential equations , 2006 .
[10] E. Hairer,et al. Geometric Numerical Integration , 2022, Oberwolfach Reports.
[11] Mark E. Tuckerman,et al. Reversible multiple time scale molecular dynamics , 1992 .
[12] E. Hairer,et al. Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems , 2010 .
[13] J. M. Sanz-Serna,et al. Numerical Hamiltonian Problems , 1994 .
[14] F. Krogh,et al. Solving Ordinary Differential Equations , 2019, Programming for Computations - Python.
[15] E. Hairer,et al. Solving Ordinary Differential Equations II , 2010 .
[16] Klaus Schulten,et al. Generalized Verlet Algorithm for Efficient Molecular Dynamics Simulations with Long-range Interactions , 1991 .
[17] Ernst Hairer,et al. Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations , 2000, SIAM J. Numer. Anal..
[18] Robert D. Skeel,et al. Long-Time-Step Methods for Oscillatory Differential Equations , 1998, SIAM J. Sci. Comput..