AbstractGeneral linear methods were originally introduced to provide a unified theory of consistency, stability and convergence for a large class of numerical methods for ordinary differential equations. We survey the use of this formulation and discuss the meaning of order of accuracy for these methods. In the search for new practical algorithms, we consider the special case of “DIMSIM” methods
We discuss error propagation for general linear methods for ordinary differential equations up to te...
We consider the construction of a class of numerical methods based on the general matrix inverse [14...
The order reduction phenomenon for general linear methods (GLMs) for stiff differential equations is...
AbstractGeneral linear methods were originally introduced to provide a unified theory of consistency...
General linear (GL) methods are numerical algorithms used to solve ODEs. The standard order conditio...
In this paper we consider the family of General Linear Methods (GLMs) for the numerical solution of ...
AbstractWe discuss error propagation for general linear methods for ordinary differential equations ...
We describe the derivation of order conditions, without restrictions on stage order, for general lin...
In this talk we describe the construction of highly stable general linear methods (GLMs) for the num...
A New implicit general linear method is designed for the numerical olution of stiff differential Equ...
In this paper we examine the linear stability properties of singly-implicit general linear methods. ...
The aim of our research is the construction and analysis of efficient general linear methods (GLM), ...
The approach introduced recently by Albrecht to derive order conditions for Runge-Kutta formulas bas...
For linear di®erential-algebraic equations (DAEs) with properly stated leading terms the property of...
We discuss error propagation for general linear methods for ordinary differential equations up to te...
We consider the construction of a class of numerical methods based on the general matrix inverse [14...
The order reduction phenomenon for general linear methods (GLMs) for stiff differential equations is...
AbstractGeneral linear methods were originally introduced to provide a unified theory of consistency...
General linear (GL) methods are numerical algorithms used to solve ODEs. The standard order conditio...
In this paper we consider the family of General Linear Methods (GLMs) for the numerical solution of ...
AbstractWe discuss error propagation for general linear methods for ordinary differential equations ...
We describe the derivation of order conditions, without restrictions on stage order, for general lin...
In this talk we describe the construction of highly stable general linear methods (GLMs) for the num...
A New implicit general linear method is designed for the numerical olution of stiff differential Equ...
In this paper we examine the linear stability properties of singly-implicit general linear methods. ...
The aim of our research is the construction and analysis of efficient general linear methods (GLM), ...
The approach introduced recently by Albrecht to derive order conditions for Runge-Kutta formulas bas...
For linear di®erential-algebraic equations (DAEs) with properly stated leading terms the property of...
We discuss error propagation for general linear methods for ordinary differential equations up to te...
We consider the construction of a class of numerical methods based on the general matrix inverse [14...
The order reduction phenomenon for general linear methods (GLMs) for stiff differential equations is...