Add to ORKGRecently Ch. Lubich proved convergence results for Runge-Kutta methods applied to stiff mechanical systems. The present paper discusses the new ideas necessary to extend these results to general linear methods, in particular BDF and multistep Runge-Kutta methods
AbstractWe study convergence properties of time-point relaxation (TR) Runge-Kutta methods for linear...
We study convergence properties of time-point relaxation (TR) Runge-Kutta methods for linear systems...
Explicit Runge-Kutta schemes are the methods of choice for solving non-stiff systems of ordinary dif...
Abstract. This paper continues earlier work by the same author concerning the stability and B-conver...
This paper deals with the convergence properties of high-order implicit Runge-Kutta methods applied ...
The intention of this paper is to extend the convergence concepts for discretization methods applied...
Many numerical methods used to solve ordinary differential equations or differential-algebraic equat...
The numerical integration of stiff mechanical systems is studied in which a strong potential forces ...
A number of techniques and solvers have been suggested, developed, and described, but a clear defini...
textabstractThis paper deals with solving stiff systems of differential equations by implicit Multis...
We review and extend the list of stability and convergence properties satisfied by Runge-Kutta (RK) ...
We review and extend the list of stability and convergence properties satisfied by Runge-Kutta (RK) ...
Explicit Runge-Kutta schemes are the methods of choice for solving non-stiff systems of ordinary di...
Explicit Runge-Kutta schemes are the methods of choice for solving non-stiff systems of ordinary di...
We study convergence properties of time-point relaxation (TR) Runge-Kutta methods for linear systems...
AbstractWe study convergence properties of time-point relaxation (TR) Runge-Kutta methods for linear...
We study convergence properties of time-point relaxation (TR) Runge-Kutta methods for linear systems...
Explicit Runge-Kutta schemes are the methods of choice for solving non-stiff systems of ordinary dif...
Abstract. This paper continues earlier work by the same author concerning the stability and B-conver...
This paper deals with the convergence properties of high-order implicit Runge-Kutta methods applied ...
The intention of this paper is to extend the convergence concepts for discretization methods applied...
Many numerical methods used to solve ordinary differential equations or differential-algebraic equat...
The numerical integration of stiff mechanical systems is studied in which a strong potential forces ...
A number of techniques and solvers have been suggested, developed, and described, but a clear defini...
textabstractThis paper deals with solving stiff systems of differential equations by implicit Multis...
We review and extend the list of stability and convergence properties satisfied by Runge-Kutta (RK) ...
We review and extend the list of stability and convergence properties satisfied by Runge-Kutta (RK) ...
Explicit Runge-Kutta schemes are the methods of choice for solving non-stiff systems of ordinary di...
Explicit Runge-Kutta schemes are the methods of choice for solving non-stiff systems of ordinary di...
We study convergence properties of time-point relaxation (TR) Runge-Kutta methods for linear systems...
AbstractWe study convergence properties of time-point relaxation (TR) Runge-Kutta methods for linear...
We study convergence properties of time-point relaxation (TR) Runge-Kutta methods for linear systems...
Explicit Runge-Kutta schemes are the methods of choice for solving non-stiff systems of ordinary dif...