and 6 -Evolution Problems I and II, Lions. Mathematical Analysis and Numerical Methods for Science and Technology, vol.5, 2000. ,
Effective computational methods for wave propagation, Numererical Insights, Chapman & Hall/CRC, vol.5, pp.247-266, 2008. ,
, The Mathematical Theory of Finite Element Methods, 2008.
Higher order time stepping for second order hyperbolic problems and optimal CFL conditions, Partial Differential Equations, vol.16, pp.67-93, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00976773
Introduction and study of fourth order theta schemes for linear wave equations, Journal of Computational and Applied Mathematics, vol.245, pp.194-212, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-01051803
Space/time convergence analysis of a class of conservative schemes for linear wave equations, Comptes Rendus Mathematique, vol.355, pp.282-289, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01421882
High-order numerical methods for transient wave equations, 2001. ,
Higher-order finite elements with mass-lumping for the 1D wave equation, Finite Element Analysis and Design, vol.16, pp.329-336, 1994. ,
Higher order triangular finite elements with mass lumping for the wave equation, SIAM Journal of Numererical Analysis, vol.38, issue.6, pp.2047-2078, 2001. ,
URL : https://hal.archives-ouvertes.fr/hal-01010373
A modified equation approach to constructing fourth-order methods for acoustic wave propagation, Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing, vol.8, issue.2, pp.135-151, 1987. ,
Variational methods for time-dependent wave propagation problems, Lecture Notes in Computational Science and Engineering, vol.31, pp.201-264, 2003. ,
Stability and dispersion analysis of improved time discretization for simply supported prestressed Timoshenko systems. Application to the stiff piano string, Wave Motion, vol.50, issue.3, pp.456-480, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00738233
Perturbation Theory for Linear Operators, Classics in Mathematics, vol.132, 1995. ,
Runge-Kutta methods and viscous wave equations, Numerische Mathematik, vol.112, issue.3, pp.485-507, 2009. ,
High-order explicit local time-stepping methods for damped wave equations, Journal of Computationnal and Appplied Mathematics, vol.239, pp.270-289, 2013. ,
Discontinuous Galerkin finite element method for the wave equation, SIAM Journal of Numerical Analysis, vol.44, pp.2408-2431, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-01443184
Stability of Finite-Dimensional Systems with Indefinite Damping, Advances in Mathematical Sciences and Applications, vol.17, pp.435-446, 1997. ,
Stability Results for the Wave Equation with Indefinite Damping, Journal of Differential Equations, vol.132, issue.2, pp.338-352, 1996. ,
Mathematical models for dispersive electromagnetic waves: An overview, Computers and Mathematics with Applications, vol.74, issue.11, pp.2792-2830, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01647185
Numerical meshes ensuring uniform observability of one-dimensional waves: construction and analysis, IMA Journal of Numerical Analysis, vol.36, issue.2, pp.503-542, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01859624
Elliptic Problems in Nonsmooth Domains, 1985. ,
Some Gronwall type inequalities and applications, 2003. ,
Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations, Springer Series in Computational Mathematics, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-01403326
Fractal decomposition of exponential operators with applications to many-body theories and Monte Carlo simulations, Physical Letter A, vol.146, issue.6, pp.319-323, 1990. ,
Difference schemes for Hamiltonian formalism and symplectic geometry, Journal of Computational Mathematics, vol.4, issue.3, pp.279-289, 1986. ,