Mixed finite elements with mass-lumping for the transient wave equation, Journal of Computational Acoustics, vol.8, pp.171-188, 2000. ,
, Finite element and discontinuous Galerkin methods for transient wave equations, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01253166
, Nodal discontinuous Galerkin methods algorithms, analysis, and applications, 2008.
Finite element methods for Maxwell's equations. Oxford Science Publications, 2003. ,
Intégration numérique etéléments finis d'ordreélevé appliqués aux equations de Maxwell en regime harmonique, 2006. ,
Solving ordinary differential equations I nonstiff problem, 2008. ,
, Numerical Methods for Ordinary Differential Equations Second Edition, 2008.
Solving ordinary differential equations II stiff and differential-algebraic problem, 2010. ,
Optimal Runge-Kutta methods for first order pseudospectral operators, Journal of Computational Physics, pp.404-419, 1999. ,
Higher order time stepping for second order hyperbolic problems and optimal CFL conditions, Computational Methods in Applied Sciences, vol.16, pp.67-93, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00976773
Optimized higher order time discretization of second order hyperbolic problems: Construction and numerical study, Journal of Computational and Applied Mathematics, vol.234, pp.1953-1961, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00976330
Optimized explicit Runge-Kutta schemes for the spectral difference method applied to wave propagation problems, SIAM Journal on Scientific Computing, vol.35, pp.957-986, 2013. ,
Optimal stability polynomials for numerical integration of initial value problems, Communications in Applied Mathematics And Computational Science, vol.7, pp.247-271, 2012. ,
Optimized high-order explicit Runge-Kutta-Nyström schemes, Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016, 2016. ,
Energy conserving explicit local time stepping for second-order wave equations, SIAM Journal on Scientific Computing, vol.31, 1985. ,
URL : https://hal.archives-ouvertes.fr/inria-00193160
Runge-Kutta-based explicit local timestepping methods for wave propagation, SIAM Journal on Scientific Computing, vol.37, pp.747-775, 2015. ,
Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems, ESAIM Mathematical Modelling and Numerical Analysis, vol.40, pp.815-841, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00607709
Raffinement de maillage spatio-temporel pour leséquations de l'élastodynamique, 2004. ,
Diagonally implicit Runge-Kutta methods for stiff problems, Computational Mathematics and Computational Physics, vol.46, pp.2110-2123, 2006. ,
A-stable methods and Padé approximations to the exponential, SIAM Journal on Numerical Analysis, vol.4, pp.671-680, 1973. ,
On the study and development of high-order time integration schemes for ODEs applied to acoustic and electromagnetic wave propagation problems, 2017. ,
Locally implicit discontinuous Galerkin time domain method for electromagnetic wave propagation in dispersive media applied to numerical dosimetry in biological tissues, SIAM Journal on Scientific Computing, vol.38, pp.2611-2633, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01133694
Locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell's equations, 2012. ,
Locally implicit time integration for linear Maxwell's equations, 2017. ,
High-order Padé and singly diagonally Runge-Kutta schemes for linear ODEs, application to wave propagation problems, Numerical Methods for Partial Differential Equations, pp.1-39, 2017. ,
Comparison of implicit and explicit hybridizable discontinuous Galerkin methods for the acoustics wave equation, International Journal for Numerical Methods in Engineering, vol.106, pp.712-739, 2016. ,
High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics, Journal of Computational Physics, vol.230, pp.3695-3718, 2011. ,
Slepc: A scalable and flexible toolkit for the solution of eigenvalue problems, ACM Trans. Math. Software, vol.31, pp.351-362, 2005. ,
A fully asynchronous multifrontal solver using distributed dynamic scheduling, SIAM Journal on Matrix Analysis and Applications, vol.23, pp.15-41, 2001. ,
URL : https://hal.archives-ouvertes.fr/hal-00808293