Split Linear Multistep Methods for the Numerical Integration of Stiff Differential Systems.
S-Stability Properties for Generalized Runge-Kutta Methods.
Stability analysis of a difference scheme for the vibration equation with a finite number of degrees of freedom
Stability analysis of linear multistep methods for delay differential equations.
Stability Analysis of One-Step Methods for Neutral Delay-Differential Equations.
Stability and Accuracy of Time Discretizations for Initial Value Problems
Stability and B-Convergence of Linearly Implicit Runge-Kutta Methods.
Stability and error estimates valid for infinite time, for strongly monotone and infinitely stiff evolution equations
Stability and local error of difference methods for the solution of the ordinary differential equation of the first order
Stability of Explicit Time Discretizations for Solving Initial Value Problems.
Stability of Explicit Time Discretizations for Solving Initial Value Problems.
Stability of the Multistep-Methods on Variable Grids.
Stability of the second derivative linear multistep formulas
Stability properties of differential-algebraic equations and Spin-stabilized discretizations.
Stability Properties of Variable Stepsize Variable Formula Methods.
Strang-type preconditioners for solving systems of ODEs by boundary value methods.
Sur la A-stabilité des méthodes de Runge-Kutta.
Symmetric parareal algorithms for hamiltonian systems
The parareal in time algorithm allows for efficient parallel numerical simulations of time-dependent problems. It is based on a decomposition of the time interval into subintervals, and on a predictor-corrector strategy, where the propagations over each subinterval for the corrector stage are concurrently performed on the different processors that are available. In this article, we are concerned with the long time integration of Hamiltonian systems. Geometric, structure-preserving integrators are...
Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems
The Discontinuous Galerkin Time Domain (DGTD) methods are now popular for the solution of wave propagation problems. Able to deal with unstructured, possibly locally-refined meshes, they handle easily complex geometries and remain fully explicit with easy parallelization and extension to high orders of accuracy. Non-dissipative versions exist, where some discrete electromagnetic energy is exactly conserved. However, the stability limit of the methods, related to the smallest elements in the mesh,...
Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems
The Discontinuous Galerkin Time Domain (DGTD) methods are now popular for the solution of wave propagation problems. Able to deal with unstructured, possibly locally-refined meshes, they handle easily complex geometries and remain fully explicit with easy parallelization and extension to high orders of accuracy. Non-dissipative versions exist, where some discrete electromagnetic energy is exactly conserved. However, the stability limit of the methods, related to the smallest elements in the mesh,...