Numerical quadrature for Bessel transformations

2008 ◽  
Vol 58 (9) ◽  
pp. 1247-1261 ◽  
Author(s):  
Shuhuang Xiang ◽  
Weihua Gui ◽  
Pinghua Mo
Keyword(s):  
Numerical Quadrature

Developed Plate Expansion Using Geodesics

1984 ◽  
Vol 21 (04) ◽  
pp. 384-388
Author(s):  
John C. Clements
Keyword(s):  
Differential Equation ◽  
Numerical Quadrature ◽  
Developable Surface ◽  
Accuracy Control ◽  
Isometric Mapping ◽  
Variable Stepsize ◽  
Mapping Algorithm ◽  
Equation Solving ◽  
Expansion Procedure ◽  
The Relationship

This work is concerned with the application of a new isometric mapping algorithm to hull plate expansion procedures for ships with all or portions of the hull consisting of developable surfaces. The expansion procedure is based on the relationship between the ruling lines r⇀(s) generating the developable surface S⇀(s,t) and one additional geodesic g⇀(s) constructed within the surface as the solution of the differential equation det(g⇀'g⇀"n⇀) = 0 where n⇀ is the unit normal to S⇀ at g⇀. Precise accuracy control is achieved through the use of adaptive numerical quadrature and a variable stepsize differential equation solving routine.

scholarly journals On numerical quadrature forC1quadratic Powell–Sabin 6-split macro-triangles

2019 ◽  
Vol 349 ◽  
pp. 239-250 ◽  
Author(s):  
Michael Bartoň ◽  
Jiří Kosinka
Keyword(s):  
Numerical Quadrature

Numerical Quadrature for Probabilistic Policy Search

2020 ◽  
Vol 42 (1) ◽  
pp. 164-175 ◽  
Author(s):  
Julia Vinogradska ◽  
Bastian Bischoff ◽  
Jan Achterhold ◽  
Torsten Koller ◽  
Jan Peters
Keyword(s):  
Numerical Quadrature ◽  
Policy Search
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