scholarly journals Product rules are optimal for numerical integration in classical smoothness spaces

2017 ◽  
Vol 38 ◽  
pp. 39-49 ◽  
Author(s):  
Aicke Hinrichs ◽  
Erich Novak ◽  
Mario Ullrich ◽  
Henryk Woźniakowski
Keyword(s):  
Numerical Integration ◽  
Product Rules

The orbit of Pluto over a long interval of time

1966 ◽  
Vol 25 ◽  
pp. 227-229 ◽  
Author(s):  
D. Brouwer
Keyword(s):  
Periodic Orbit ◽  
Numerical Integration ◽  
Restricted Problem ◽  
Three Dimensional ◽  
The Third ◽  
Circular Restricted Problem ◽  
Resonance Relation

The paper presents a summary of the results obtained by C. J. Cohen and E. C. Hubbard, who established by numerical integration that a resonance relation exists between the orbits of Neptune and Pluto. The problem may be explored further by approximating the motion of Pluto by that of a particle with negligible mass in the three-dimensional (circular) restricted problem. The mass of Pluto and the eccentricity of Neptune's orbit are ignored in this approximation. Significant features of the problem appear to be the presence of two critical arguments and the possibility that the orbit may be related to a periodic orbit of the third kind.

A Modified Algorithm for Reduction of Error in Combined Numerical Integration

2019 ◽  
Vol 51 (04) ◽  
pp. 745-750
Author(s):  
A.A BHATTI ◽  
M.S CHANDIO ◽  
R.A MEMON ◽  
M.M SHAIKH
Keyword(s):  
Numerical Integration ◽  
Modified Algorithm

Solving Numerical Integration Based on Evolution Strategy Method

2009 ◽  
Vol 31 (2) ◽  
pp. 196-206 ◽  
Author(s):  
Yong-Quan ZHOU ◽  
Ming ZHANG ◽  
Bin ZHAO
Keyword(s):  
Numerical Integration ◽  
Evolution Strategy ◽  
Strategy Method
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