Local error estimation for multistep collocation methods

1990 ◽  
Vol 30 (1) ◽  
pp. 126-144 ◽  
Author(s):  
Ivar Lie
Keyword(s):  
Error Estimation ◽  
Collocation Methods ◽  
Local Error ◽  
Local Error Estimation

Local error estimation for singly-implicit formulas by two-step Runge-Kutta methods

1992 ◽  
Vol 32 (1) ◽  
pp. 104-117 ◽  
Author(s):  
A. Bellen ◽  
Z. Jackiewicz ◽  
M. Zennaro
Keyword(s):  
Error Estimation ◽  
Local Error ◽  
Local Error Estimation ◽  
Runge Kutta

A comparison of adaptive strategies for mesh refinement based on 'a posteriori' local error estimation procedures

1990 ◽  
Vol 26 (2) ◽  
pp. 795-798 ◽  
Author(s):  
P. Fernandes ◽  
P. Girdinio ◽  
P. Molfino ◽  
G. Molinari ◽  
M. Repetto
Keyword(s):  
Error Estimation ◽  
Mesh Refinement ◽  
Adaptive Strategies ◽  
Local Error ◽  
A Posteriori ◽  
Local Error Estimation ◽  
Estimation Procedures

scholarly journals Embedded Exponentially-Fitted Explicit Runge-Kutta-Nyström Methods for Solving Periodic Problems

Computation ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 32
Author(s):  
Musa Demba ◽  
Poom Kumam ◽  
Wiboonsak Watthayu ◽  
Pawicha Phairatchatniyom
Keyword(s):  
Error Estimation ◽  
Variable Step Size ◽  
Local Error ◽  
Step Size ◽  
Local Error Estimation ◽  
Nyström Methods ◽  
Periodic Problems ◽  
Variable Step ◽  
Exponentially Fitted ◽  
Runge Kutta

In this work, a pair of embedded explicit exponentially-fitted Runge–Kutta–Nyström methods is formulated for solving special second-order ordinary differential equations (ODEs) with periodic solutions. A variable step-size technique is used for the derivation of the 5(3) embedded pair, which provides a cheap local error estimation. The numerical results obtained signify that the new adapted method is more efficient and accurate compared with the existing methods.

Local error estimation procedures as refinement indicators in adaptive meshing

1991 ◽  
Vol 27 (5) ◽  
pp. 4189-4192 ◽  
Author(s):  
P. Fernandes ◽  
P. Girdinio ◽  
G. Molinari ◽  
M. Repetto
Keyword(s):  
Error Estimation ◽  
Local Error ◽  
Adaptive Meshing ◽  
Local Error Estimation ◽  
Estimation Procedures
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