We investigate the concurrent solution of low-index differential-algebraic equations (DAE’s) by the waveform relaxation (WR) method, an iterative method for system integration. We present our new simulation code, DAWRS (Differential - Algebraic - Waveform Relaxation Solver), to solve DAE’s on parallel machines using the WR methods, and describe new techniques to improve the convergence of such methods. As experimental results, we demonstrate the achievable concurrent performance to solve DAE’s for a class of applications in chemical engineering
In this paper we consider the application of block waveform iteration methods to initial value probl...
Waveform relaxation is a numerical method for solving large-scale systems of ordinary differential e...
Parallelizable numerical methods for solving large scale DAE systems are developed at the level of d...
We investigate the concurrent solution of low-index differential-algebraic equations (DAE’s) b...
An extension of the waveform relaxation (WR) algorithm to systems of differential/algebraic equation...
AbstractIn this paper, we consider a two stage strategy for waveform relaxation (WR) iterations, app...
AbstractFor linear constant-coefficient differential-algebraic equations, we study the waveform rela...
The accurate, high-speed solution of systems of ordinary differential-algebraic equations (DAE’s) of...
We consider systematic parallel solution of ordinary differential-algebraic equations (DAE's) of low...
It is the purpose of this paper to provide an acceleration of waveform relaxation (WR) methods for ...
This thesis reports the continuing effort towards establishing a parallel numerical algorithm known ...
AbstractThe study of high-dimensional differential equations is challenging and difficult due to the...
In this paper, the authors extend the results of their earlier paper on waveform relamtion (WR), whi...
Several results pertaining to the partitioning of the waveform relaxation (WR) algorithm for dynamic...
AbstractWe are interested in solving linear time-dependent index one differential algebraic equation...
In this paper we consider the application of block waveform iteration methods to initial value probl...
Waveform relaxation is a numerical method for solving large-scale systems of ordinary differential e...
Parallelizable numerical methods for solving large scale DAE systems are developed at the level of d...
We investigate the concurrent solution of low-index differential-algebraic equations (DAE’s) b...
An extension of the waveform relaxation (WR) algorithm to systems of differential/algebraic equation...
AbstractIn this paper, we consider a two stage strategy for waveform relaxation (WR) iterations, app...
AbstractFor linear constant-coefficient differential-algebraic equations, we study the waveform rela...
The accurate, high-speed solution of systems of ordinary differential-algebraic equations (DAE’s) of...
We consider systematic parallel solution of ordinary differential-algebraic equations (DAE's) of low...
It is the purpose of this paper to provide an acceleration of waveform relaxation (WR) methods for ...
This thesis reports the continuing effort towards establishing a parallel numerical algorithm known ...
AbstractThe study of high-dimensional differential equations is challenging and difficult due to the...
In this paper, the authors extend the results of their earlier paper on waveform relamtion (WR), whi...
Several results pertaining to the partitioning of the waveform relaxation (WR) algorithm for dynamic...
AbstractWe are interested in solving linear time-dependent index one differential algebraic equation...
In this paper we consider the application of block waveform iteration methods to initial value probl...
Waveform relaxation is a numerical method for solving large-scale systems of ordinary differential e...
Parallelizable numerical methods for solving large scale DAE systems are developed at the level of d...