scholarly journals Truncation error estimates of approximate operators in a generalized particle method

2020 ◽  
Vol 37 (2) ◽  
pp. 565-598
Author(s):  
Yusuke Imoto
1966 ◽  
Vol 9 (2) ◽  
pp. 120-138 ◽  
Author(s):  
Peter Henrici ◽  
Pia Pflüger

AIAA Journal ◽  
2012 ◽  
Vol 50 (9) ◽  
pp. 1920-1932 ◽  
Author(s):  
François Fraysse ◽  
Eusebio Valero ◽  
Jorge Ponsín

1961 ◽  
Vol 83 (3) ◽  
pp. 382-383 ◽  
Author(s):  
N. H. Freed ◽  
C. J. Rallis

A practical method is presented for obtaining a meaningful estimate of the truncation error associated with fully finite-difference forms of the heat-conduction equation. The analysis is applied in this instance to the Liebmann analog equations. It may also be used with other manual and analog methods of computation, where the error due to mesh size is relatively large. An example is given deriving error estimates for a case of one-dimensional heat flow.


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