Add to ORKGAn error analysis of trigonometric integrators (or exponential integrators) applied to spatial semi-discretizations of semilinear wave equations is given. In particular, optimal second-order convergence is shown requiring only that the exact solution is of finite energy. The analysis is uniform in the spatial dis-cretization parameter. It covers the impulse method which coincides with the method of Deuflhard and the mollified impulse method of Garćıa-Archilla, Sanz-Serna & Skeel as well as the trigonometric methods proposed by Hairer & Lubich and by Grimm & Hochbruck. The analysis can also be used to explain the con-vergence behaviour of the Störmer–Verlet/leapfrog time discretization
This thesis provides a unified framework for the error analysis for space and time discretizations o...
AbstractWe analyze fully discrete methods of fourth- or second-order temporal accuracy for the appro...
This report presents the space-time convergence analysis of two implicit discretization strategies f...
Trigonometric time integrators are introduced as a class of explicit numerical methods for quasiline...
In this article we prove full discretization error bounds for semilinear second-order evolution equa...
In this paper we introduce a class of second-order exponential schemes for the time integration of s...
For classes of symplectic and symmetric time-stepping methods- trigonometric integrators and the St\...
We prove that a standard second order ¯nite di®erence uniform space discretization of the semilinear...
This thesis provides a unified framework for the error analysis of non-conforming space discretizati...
We develop a general convergence analysis for a class of inexact Newton-type regularizations for sta...
A fully discrete approximation of the semilinear stochastic wave equation driven by multiplicative n...
A fully discrete approximation of the linear stochastic wave equation driven by additive noise is pr...
We consider isoparametric finite element discretizations of semilinear acoustic wave equations with ...
This paper provides a unified error analysis for non-conforming space discretizations of linear wave...
A fully discrete approximation of the semi-linear stochastic wave equation driven by multiplicative ...
This thesis provides a unified framework for the error analysis for space and time discretizations o...
AbstractWe analyze fully discrete methods of fourth- or second-order temporal accuracy for the appro...
This report presents the space-time convergence analysis of two implicit discretization strategies f...
Trigonometric time integrators are introduced as a class of explicit numerical methods for quasiline...
In this article we prove full discretization error bounds for semilinear second-order evolution equa...
In this paper we introduce a class of second-order exponential schemes for the time integration of s...
For classes of symplectic and symmetric time-stepping methods- trigonometric integrators and the St\...
We prove that a standard second order ¯nite di®erence uniform space discretization of the semilinear...
This thesis provides a unified framework for the error analysis of non-conforming space discretizati...
We develop a general convergence analysis for a class of inexact Newton-type regularizations for sta...
A fully discrete approximation of the semilinear stochastic wave equation driven by multiplicative n...
A fully discrete approximation of the linear stochastic wave equation driven by additive noise is pr...
We consider isoparametric finite element discretizations of semilinear acoustic wave equations with ...
This paper provides a unified error analysis for non-conforming space discretizations of linear wave...
A fully discrete approximation of the semi-linear stochastic wave equation driven by multiplicative ...
This thesis provides a unified framework for the error analysis for space and time discretizations o...
AbstractWe analyze fully discrete methods of fourth- or second-order temporal accuracy for the appro...
This report presents the space-time convergence analysis of two implicit discretization strategies f...