This paper is concerned with the construction and Numerical Analysis of Extended Exponential General Linear Methods. These methods, in contrast to other methods in literatures, consider methods with the step greater than the stage order (S>Q).Numerical experiments in this study, indicate that Extended Exponential General Linear Methods perform better than existing Methods.Keywords: General Linear Methods, Exponential methods, Order condition
AbstractWe discuss error propagation for general linear methods for ordinary differential equations ...
[EN] This work gives a new formula for the forward relative error of matrix exponential Taylor appr...
In this talk we describe the construction of highly stable general linear methods (GLMs) for the num...
We describe the derivation of order conditions, without restrictions on stage order, for general lin...
General linear (GL) methods are numerical algorithms used to solve ODEs. The standard order conditio...
Implicit–explicit (IMEX) time stepping methods can efficiently solve differential equations with bot...
We search for general linear methods with s internal stages and r = s ...
To investigate a possible order reduction for general linear methods [2] we consider the Prothero-Ro...
Exponential Runge–Kutta methods constitute efficient integrators for semilin-ear stiff problems. So ...
The approach introduced recently by Albrecht to derive order conditions for Runge-Kutta formulas bas...
The paper deals with the construction of explicit Nordsieck second derivative general linear methods...
We describe the construction of general linear methods in Nordsieck form of order p and stage order ...
AbstractWe present a method for evaluation of the exponential integral, Es(x), generalized to an arb...
AbstractGeneral linear methods were originally introduced to provide a unified theory of consistency...
AbstractWe discuss error propagation for general linear methods for ordinary differential equations ...
[EN] This work gives a new formula for the forward relative error of matrix exponential Taylor appr...
In this talk we describe the construction of highly stable general linear methods (GLMs) for the num...
We describe the derivation of order conditions, without restrictions on stage order, for general lin...
General linear (GL) methods are numerical algorithms used to solve ODEs. The standard order conditio...
Implicit–explicit (IMEX) time stepping methods can efficiently solve differential equations with bot...
We search for general linear methods with s internal stages and r = s ...
To investigate a possible order reduction for general linear methods [2] we consider the Prothero-Ro...
Exponential Runge–Kutta methods constitute efficient integrators for semilin-ear stiff problems. So ...
The approach introduced recently by Albrecht to derive order conditions for Runge-Kutta formulas bas...
The paper deals with the construction of explicit Nordsieck second derivative general linear methods...
We describe the construction of general linear methods in Nordsieck form of order p and stage order ...
AbstractWe present a method for evaluation of the exponential integral, Es(x), generalized to an arb...
AbstractGeneral linear methods were originally introduced to provide a unified theory of consistency...
AbstractWe discuss error propagation for general linear methods for ordinary differential equations ...
[EN] This work gives a new formula for the forward relative error of matrix exponential Taylor appr...
In this talk we describe the construction of highly stable general linear methods (GLMs) for the num...
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