Add to ORKGAbstract. A novel parallel algorithm for the integration of linear initial-value problems is pro-posed. This algorithm is based on the simple observation that homogeneous problems can typically be integrated much faster than inhomogeneous problems. An overlapping time-domain decomposition is utilized to obtain decoupled inhomogeneous and homogeneous subproblems, and a near-optimal Krylov method is used for the fast exponential integration of the homogeneous subproblems. We present an error analysis and discuss the parallel scaling of our algorithm. The efficiency of this approach is demonstrated with numerical examples
Abstract. In this paper we consider and investigate a parallel algorithm for numerical solution of t...
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We introduce an overlapping time-domain decomposition for linear initial-value problems which gives ...
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Abstract. In this paper we consider and investigate a parallel algorithm for numerical solution of t...
This study developed a parallel algorithm to efficiently solve linear programming models. The propos...
Conventional projection methods for the numerical solution of integral equations are serial in struc...
A parallel time integration method for nonlinear partial differential equations is proposed. It is b...
We introduce an overlapping time-domain decomposition for linear initial-value problems which gives ...
This paper describes and tests a parallel implementation of a factorized approximate inverse precond...
The parallel solution of initial value problems for ordinary differential equations (ODE-IVPs) has b...
Exponential integrators have received renewed interest in recent years as a means to approximate sti...
The parareal algorithm is a numerical method to integrate evolution problems on parallel computers. ...
In this paper, we adapt a parallel time integration scheme to track the trajectories of noisy non-li...
The numerical solution of a parabolic partial differential equation is usually calculated by a times...
In this paper the research behind the parallelization on the GPU of the time parallel time integrati...
We propose a modified parallel-in-time - Parareal - multi-level time integration method which, in co...
In the perspective of parallel processing, a new sense of parametric optimization might be promoted....
Abstract. We introduce a micro-macro parareal algorithm for the time-parallel integration of multisc...
Abstract. In this paper we consider and investigate a parallel algorithm for numerical solution of t...
This study developed a parallel algorithm to efficiently solve linear programming models. The propos...
Conventional projection methods for the numerical solution of integral equations are serial in struc...