Symbolic computation in physics and chemistry: Applications of the inner projection technique and of a new summation method for divergent series

1991 ◽  
Vol 40 (S25) ◽  
pp. 209-223 ◽  
Author(s):  
J. ?�?ek ◽  
F. Vinette ◽  
E. J. Weniger
Keyword(s):  
Symbolic Computation ◽  
Summation Method ◽  
Divergent Series ◽  
Projection Technique

A summation method for divergent series

1999 ◽  
Vol 54 (3) ◽  
pp. 626-627
Author(s):  
V V Belokurov ◽  
Yu P Solov'ev ◽  
E T Shavgulidze
Keyword(s):  
Summation Method ◽  
Divergent Series

scholarly journals Overview in Summabilities: Summation Methods for Divergent Series, Ramanujan Summation and Fractional Finite Sums

Mathematics ◽  
2021 ◽  
Vol 9 (22) ◽  
pp. 2963
Author(s):  
Jocemar Q. Chagas ◽  
José A. Tenreiro Machado ◽  
António M. Lopes
Keyword(s):  
Summation Formula ◽  
Summation Method ◽  
Divergent Series ◽  
Summation Methods ◽  
Classical Sense ◽  
Finite Sums

This work presents an overview of the summability of divergent series and fractional finite sums, including their connections. Several summation methods listed, including the smoothed sum, permit obtaining an algebraic constant related to a divergent series. The first goal is to revisit the discussion about the existence of an algebraic constant related to a divergent series, which does not contradict the divergence of the series in the classical sense. The well-known Euler–Maclaurin summation formula is presented as an important tool. Throughout a systematic discussion, we seek to promote the Ramanujan summation method for divergent series and the methods recently developed for fractional finite sums.

Partial Summation Method for XANES Calculation

1997 ◽  
Vol 7 (C2) ◽  
pp. C2-99-C2-102
Author(s):  
T. Fujikawa ◽  
R. Yanagisawa ◽  
N. Yiwata
Keyword(s):  
Summation Method ◽  
Partial Summation

Symbolic computation to estimate two-sided boundary conditions in two-dimensional conduction problems

10.2514/3.920 ◽  
1997 ◽  
Vol 11 ◽  
pp. 472-476
Author(s):  
Henry H. Kerr ◽  
F. C. Frank ◽  
Jae-Woo Lee ◽  
W. H. Mason ◽  
Ching-Yu Yang
Keyword(s):  
Boundary Conditions ◽  
Symbolic Computation ◽  
Two Dimensional
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