Reduced model-based parareal simulations of oscillatory singularly perturbed ordinary differential equations
暂无分享,去创建一个
Laura Grigori | Julien Salomon | Sever A. Hirstoaga | Van-Thanh Nguyen | S. Hirstoaga | L. Grigori | J. Salomon | Van-Thanh Nguyen
[1] Giovanni Samaey,et al. A Micro-Macro Parareal Algorithm: Application to Singularly Perturbed Ordinary Differential Equations , 2012, SIAM J. Sci. Comput..
[2] Yvon Maday,et al. A Parareal in Time Semi-implicit Approximation of the Navier-Stokes Equations , 2005 .
[3] Gil Ariel,et al. Parareal Multiscale Methods for Highly Oscillatory Dynamical Systems , 2016, SIAM J. Sci. Comput..
[4] A. Fruchard,et al. ON COMBINED ASYMPTOTIC EXPANSIONS IN SINGULAR PERTURBATIONS , 2002 .
[5] Einar M. Rønquist,et al. Stability of the Parareal Algorithm , 2005 .
[6] Yvon Maday. Parareal in time algorithm for kinetic systems based on model reduction , 2007 .
[7] Emmanuel Frénod,et al. Application of the averaging method to the gyrokinetic plasma , 2007, Asymptot. Anal..
[8] Martin J. Gander,et al. Analysis for parareal algorithms applied to Hamiltonian differential equations , 2014, J. Comput. Appl. Math..
[9] Martin J. Gander,et al. Analysis of the Parareal Time-Parallel Time-Integration Method , 2007, SIAM J. Sci. Comput..
[10] Guillaume Bal,et al. On the Convergence and the Stability of the Parareal Algorithm to Solve Partial Differential Equations , 2005 .
[11] Emmanuel Frenod,et al. The Vlasov equation with strong magnetic field and oscillating electric field as a model of isotope resonant separation , 2002 .
[12] Martin J. Gander,et al. Nonlinear Convergence Analysis for the Parareal Algorithm , 2008 .
[13] Hong Qin,et al. Volume-preserving algorithms for charged particle dynamics , 2015, J. Comput. Phys..
[14] Terry Haut,et al. An Asymptotic Parallel-in-Time Method for Highly Oscillatory PDEs , 2013, SIAM J. Sci. Comput..
[15] M. Kretzschmar. Particle motion in a Penning trap , 1991 .