SPP with discontinuous function and spectral approximation.
Spurious-free approximations of electromagnetic eigenproblems by means of Nedelec-type elements
By using an inductive procedure we prove that the Galerkin finite element approximations of electromagnetic eigenproblems modelling cavity resonators by elements of any fixed order of either Nedelec’s edge element family on tetrahedral meshes are convergent and free of spurious solutions. This result is not new but is proved under weaker hypotheses, which are fulfilled in most of engineering applications. The method of the proof is new, instead, and shows how families of spurious-free elements can...
Spurious-free approximations of electromagnetic eigenproblems by means of Nedelec-type elements
By using an inductive procedure we prove that the Galerkin finite element approximations of electromagnetic eigenproblems modelling cavity resonators by elements of any fixed order of either Nedelec's edge element family on tetrahedral meshes are convergent and free of spurious solutions. This result is not new but is proved under weaker hypotheses, which are fulfilled in most of engineering applications. The method of the proof is new, instead, and shows how families of spurious-free elements...
Square-root families for the simultaneous approximation of polynomial multiple zeros.
S-Stability Properties for Generalized Runge-Kutta Methods.
Stabile Mehrschichtverfahren für parabolische Evolutionsgleichungen.
Stabilitätsbedingungen von rekurrenten Relationen und deren Anwendung
Stabilitätsungleichungen für Diskretisierungen von Randwertaufgaben gewöhnlicher Differentialgleichungen.
Stabilité d'un algorithme de recherche de valeur propre de problème généralisé
Stabilité et convergence des méthodes spectrales polynômiales. Application à l'équation d'advection
Stabilité numérique de l'algorithme de Levinson
Stability analysis of a difference scheme for the vibration equation with a finite number of degrees of freedom
Stability analysis of fast numerical methods for Volterra integral equations.
Stability analysis of linear multistep methods for delay differential equations.
Stability analysis of numerical methods for delay differential equations.
Stability Analysis of One-Step Methods for Neutral Delay-Differential Equations.
Stability Analysis of Product ...-Methods for Abel Integral Equations of the Second Kind.
Stability analysis of reducible quadrature methods for Volterra integro-differential equations
Stability analysis for numerical solutions of Voltera integro-differential equations based on linear multistep methods combined with reducible quadrature rules is presented. The results given are based on the test equation and absolute stability is deffined in terms of the real parameters and . Sufficient conditions are illustrated for - methods and for combinations of Adams-Moulton and backward differentiation methods.
Stability analysis of the Interior Penalty Discontinuous Galerkin method for the wave equation
We consider here the Interior Penalty Discontinuous Galerkin (IPDG) discretization of the wave equation. We show how to derive the optimal penalization parameter involved in this method in the case of regular meshes. Moreover, we provide necessary stability conditions of the global scheme when IPDG is coupled with the classical Leap–Frog scheme for the time discretization. Numerical experiments illustrate the fact that these conditions are also sufficient.
Stability analysis of the space-time discontinuous Galerkin method for nonstationary nonlinear convection-diffusion problems
This paper is concerned with the stability analysis of the space-time discontinuous Galerkin method for the solution of nonstationary, nonlinear, convection-diffusion problems. In the formulation of the numerical scheme we use the nonsymmetric, symmetric and incomplete versions of the discretization of diffusion terms and interior and boundary penalty. Then error estimates are briefly characterized. The main attention is paid to the investigation of unconditional stability of the method. Theoretical...