Global error estimation for explicit second derivative general linear methods

2021 ◽  
Author(s):  
Ali Abdi ◽  
Gholamreza Hojjati ◽  
Giuseppe Izzo ◽  
Zdzislaw Jackiewicz
Keyword(s):  
Error Estimation ◽  
General Linear Methods ◽  
Global Error ◽  
General Linear ◽  
Second Derivative ◽  
Global Error Estimation

Global error estimation for explicit general linear methods

2021 ◽  
Author(s):  
Ali Abdi ◽  
Gholamreza Hojjati ◽  
Giuseppe Izzo ◽  
Zdzislaw Jackiewicz
Keyword(s):  
Error Estimation ◽  
General Linear Methods ◽  
Global Error ◽  
General Linear ◽  
Global Error Estimation

Second derivative general linear methods

2013 ◽  
Vol 67 (3) ◽  
pp. 637-654 ◽  
Author(s):  
R. I. Okuonghae ◽  
M. N. O. Ikhile
Keyword(s):  
General Linear Methods ◽  
General Linear ◽  
Second Derivative

scholarly journals Global error estimation with runge-kutta triples

1989 ◽  
Vol 18 (9) ◽  
pp. 835-846 ◽  
Author(s):  
J.R. Dormand ◽  
M.A. Lockyer ◽  
N.E. McGorrigan ◽  
P.J. Prince
Keyword(s):  
Error Estimation ◽  
Global Error ◽  
Runge Kutta ◽  
Global Error Estimation

Error Estimation for a Economic Equilibrium Modeling

2011 ◽  
Vol 267 ◽  
pp. 350-355
Author(s):  
Lei Wang
Keyword(s):  
Error Estimation ◽  
Linear Complementarity Problem ◽  
Complementarity Problem ◽  
Linear Complementarity ◽  
Economic Equilibrium ◽  
Global Error ◽  
Equilibrium Modeling ◽  
Generalized Linear Complementarity Problem ◽  
Global Error Estimation

In this paper, the global error estimation for the generalized linear complementarity problem in economic equilibrium modeling(GLCP) is established. The result obtained in this paper can be viewed as extensions of previously known results.

Efficient Numerical Shadowing Global Error Estimation for High Dimensional Dissipative Systems

2004 ◽  
Vol 4 (2) ◽  
Author(s):  
Jon Collis ◽  
Erik S. Van Vleck
Keyword(s):  
Error Estimation ◽  
Initial Conditions ◽  
Efficient Estimation ◽  
Global Error ◽  
Dissipative Systems ◽  
High Dimensional ◽  
Initial Value ◽  
Small Perturbations ◽  
One Step ◽  
Global Error Estimation

AbstractShadowing is a means of characterizing global errors in the numerical solution of initial value differential equations by allowing for small perturbations in the initial conditions. The method presented in this paper provides a technique for efficient estimation of the shadowing global error for systems that have a large number of exponentially decaying modes. The method is formulated for one-step methods and is applied to the spatial discretization of some dissipative PDEs.

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