Add to ORKGAbstract. In this paper we are concerned with the convergence analysis of splitting methods for nonautonomous abstract evolution equations. We in-troduce a framework that allows us to analyze the popular Lie, Peaceman– Rachford and Strang splittings for time dependent operators. Our framework is in particular suited for analyzing dimension splittings. The influence of boundary conditions is discussed. 1. Introduction. Splittin
AbstractWe consider splitting methods for the numerical integration of separable non-autonomous diff...
Splitting methods are widely used as temporal discretizations of evolution equations. Such methods u...
We investigate Lie–Trotter product formulae for abstract nonlinear evolution equations with delay. U...
Splitting methods constitute a class (numerical) schemes for solving initial value problems. Roughly...
AbstractWe establish general product formulas for the solutions of non-autonomous abstract Cauchy pr...
summary:We consider a Strang-type splitting method for an abstract semilinear evolution equation $$ ...
In this paper, we are concerned with the construction and analysis of high order exponential splitti...
In this paper we present a unified picture concerning general splitting methods for solving a large ...
Abstract. A rigorous convergence analysis of the Strang splitting algorithm for Vlasov-type equation...
The convergence of various operator splitting procedures, such as the sequential, the Strang and the...
We consider splitting methods for the numerical integration of separable non-autonomous differentia...
Abstract. We consider a splitting-based approximation of the abstract differential Riccati equation ...
Using composition procedures, we build up high order splitting methods to solve evolution equations ...
We consider a splitting-based approximation of the abstract differential Riccati equation in the set...
Abstract. We consider a splitting-based approximation of the abstract differential Riccati equation ...
AbstractWe consider splitting methods for the numerical integration of separable non-autonomous diff...
Splitting methods are widely used as temporal discretizations of evolution equations. Such methods u...
We investigate Lie–Trotter product formulae for abstract nonlinear evolution equations with delay. U...
Splitting methods constitute a class (numerical) schemes for solving initial value problems. Roughly...
AbstractWe establish general product formulas for the solutions of non-autonomous abstract Cauchy pr...
summary:We consider a Strang-type splitting method for an abstract semilinear evolution equation $$ ...
In this paper, we are concerned with the construction and analysis of high order exponential splitti...
In this paper we present a unified picture concerning general splitting methods for solving a large ...
Abstract. A rigorous convergence analysis of the Strang splitting algorithm for Vlasov-type equation...
The convergence of various operator splitting procedures, such as the sequential, the Strang and the...
We consider splitting methods for the numerical integration of separable non-autonomous differentia...
Abstract. We consider a splitting-based approximation of the abstract differential Riccati equation ...
Using composition procedures, we build up high order splitting methods to solve evolution equations ...
We consider a splitting-based approximation of the abstract differential Riccati equation in the set...
Abstract. We consider a splitting-based approximation of the abstract differential Riccati equation ...
AbstractWe consider splitting methods for the numerical integration of separable non-autonomous diff...
Splitting methods are widely used as temporal discretizations of evolution equations. Such methods u...
We investigate Lie–Trotter product formulae for abstract nonlinear evolution equations with delay. U...