An analysis of 3-D particle path integration algorithms

1995 ◽  
Author(s):  
D Darmofal ◽  
R Haimes
Keyword(s):  
Path Integration ◽  
Particle Path ◽  
Integration Algorithms

An Analysis of 3D Particle Path Integration Algorithms

1996 ◽  
Vol 123 (1) ◽  
pp. 182-195 ◽  
Author(s):  
D.L. Darmofal ◽  
R. Haimes
Keyword(s):  
Path Integration ◽  
Particle Path ◽  
Integration Algorithms

Grid Cells and Human Path Integration

2012 ◽  
Author(s):  
Xiaoli Chen ◽  
Timothy P. McNamara ◽  
Jonathan W. Kelly
Keyword(s):  
Path Integration ◽  
Grid Cells

Path integration is not always limited by error accumulation

2006 ◽  
Author(s):  
Xiaoang Irene Wan ◽  
Ranxiao Frances Wang ◽  
James A. Crowell
Keyword(s):  
Path Integration ◽  
Error Accumulation

scholarly journals Coleman integration for even-degree models of hyperelliptic curves

2015 ◽  
Vol 18 (1) ◽  
pp. 258-265 ◽  
Author(s):  
Jennifer S. Balakrishnan
Keyword(s):  
Number Theory ◽  
Computer Science ◽  
Hyperelliptic Curves ◽  
Open Book ◽  
Line Integral ◽  
Book Series ◽  
Numerical Examples ◽  
Lecture Notes ◽  
Integration Algorithms ◽  
Mathematical Sciences

The Coleman integral is a $p$-adic line integral that encapsulates various quantities of number theoretic interest. Building on the work of Harrison [J. Symbolic Comput. 47 (2012) no. 1, 89–101], we extend the Coleman integration algorithms in Balakrishnan et al. [Algorithmic number theory, Lecture Notes in Computer Science 6197 (Springer, 2010) 16–31] and Balakrishnan [ANTS-X: Proceedings of the Tenth Algorithmic Number Theory Symposium, Open Book Series 1 (Mathematical Sciences Publishers, 2013) 41–61] to even-degree models of hyperelliptic curves. We illustrate our methods with numerical examples computed in Sage.

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