Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations, Applied Numerical Mathematics, vol.25, issue.2-3, pp.25-151, 1997. ,
DOI : 10.1016/S0168-9274(97)00056-1
Numerical Integration of Damped Maxwell Equations, SIAM Journal on Scientific Computing, vol.31, issue.2, pp.31-1322, 2009. ,
DOI : 10.1137/08072108X
Linearly implicit Runge???Kutta methods for advection???reaction???diffusion equations, Applied Numerical Mathematics, vol.37, issue.4, pp.535-549, 2001. ,
DOI : 10.1016/S0168-9274(00)00061-1
An implicit-explicit multistep method of the approximation of parabolic equations, Numerische Mathematik, vol.11, issue.3, pp.257-276, 1980. ,
DOI : 10.1007/BF01396412
Energy Conserving Explicit Local Time Stepping for Second-Order Wave Equations, SIAM Journal on Scientific Computing, vol.31, issue.3, pp.31-1985, 2009. ,
DOI : 10.1137/070709414
URL : https://hal.archives-ouvertes.fr/inria-00193160
Locally implicit discontinuous Galerkin method for time domain electromagnetics, Journal of Computational Physics, vol.229, issue.2, pp.512-526, 2010. ,
DOI : 10.1016/j.jcp.2009.09.038
URL : https://hal.archives-ouvertes.fr/inria-00403741
Development of a hp-like discontinuous Galerkin time-domain method on non-conforming simplicial meshes for electromagnetic wave propagation, Int. J. Numer. Anal. Mod, vol.6, pp.193-216, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00600469
Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes, ESAIM: Mathematical Modelling and Numerical Analysis, vol.39, issue.6, pp.2-39, 2005. ,
DOI : 10.1051/m2an:2005049
URL : https://hal.archives-ouvertes.fr/hal-00210500
Explicit local time-stepping methods for Maxwell???s equations, Journal of Computational and Applied Mathematics, vol.234, issue.12, pp.3283-3302, 2010. ,
DOI : 10.1016/j.cam.2010.04.028
Nodal high-order methods on unstructured grids. I. Time-domain solution of Maxwell's equations, J. Comput. Phys, pp.181-186, 2002. ,
Application of implicit???explicit high order Runge???Kutta methods to discontinuous-Galerkin schemes, Journal of Computational Physics, vol.225, issue.2, pp.225-1753, 2007. ,
DOI : 10.1016/j.jcp.2007.02.021
Additive Runge???Kutta schemes for convection???diffusion???reaction equations, Applied Numerical Mathematics, vol.44, issue.1-2, pp.139-181, 2003. ,
DOI : 10.1016/S0168-9274(02)00138-1
Dissipative terms and local time-stepping improvements in a spatial high order Discontinuous Galerkin scheme for the time-domain Maxwell???s equations, Journal of Computational Physics, vol.227, issue.14, pp.227-6795, 2008. ,
DOI : 10.1016/j.jcp.2008.03.032
Temporal convergence of a locally implicit discontinuous Galerkin method for Maxwell's equations, ESAIM: M2AN, pp.1225-1246, 2011. ,
Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems, ESAIM: Mathematical Modelling and Numerical Analysis, vol.40, issue.5, pp.2-40, 2006. ,
DOI : 10.1051/m2an:2006035
URL : https://hal.archives-ouvertes.fr/hal-00607709
Triangular mesh methods for the neutron transport equation, Los Alamos Scientific Laboratory Report LAUR, pp.73-479, 1973. ,
A high-order discontinuous Galerkin method with time-accurate local time stepping for the Maxwell equations, International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, vol.129, issue.42-44, pp.77-103, 2009. ,
DOI : 10.1002/jnm.700
Stability Restrictions on Second Order, Three Level Finite Difference Schemes for Parabolic Equations, SIAM Journal on Numerical Analysis, vol.17, issue.2, pp.300-309, 1980. ,
DOI : 10.1137/0717025
Component splitting for semi-discrete Maxwell equations, BIT Numerical Mathematics, vol.14, issue.2, 2010. ,
DOI : 10.1007/s10543-010-0296-y
Unconditionally stable integration of Maxwell???s equations, Linear Algebra and its Applications, vol.431, issue.3-4, pp.300-317, 2009. ,
DOI : 10.1016/j.laa.2008.12.036
Principles of Computational Fluid Dynamics, Springer Series in Computational Mathematics, vol.29, 2001. ,
DOI : 10.1007/978-3-642-05146-3
Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media, IEEE Trans. Antenn. Propag, vol.14, pp.302-307, 1966. ,