Hyper-rectangle selection strategy for parallel adaptive numerical integration

1998 ◽  
pp. 71-75 ◽  
Author(s):  
Raimondas Čiegis ◽  
Ramūnas Šablinskas ◽  
Jerzy Waśniewski
Keyword(s):  
Numerical Integration ◽  
Selection Strategy

scholarly journals An Operator-Based Scheme for the Numerical Integration of FDEs

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1372
Author(s):  
Inga Timofejeva ◽  
Zenonas Navickas ◽  
Tadas Telksnys ◽  
Romas Marcinkevicius ◽  
Minvydas Ragulskis
Keyword(s):  
Power Series ◽  
Numerical Integration ◽  
Analytic Solution ◽  
Selection Strategy ◽  
Integration Step ◽  
Adaptive Integration ◽  
Fractional Differential ◽  
Generalized Differential ◽  
Infinite Power ◽  
Step Selection

An operator-based scheme for the numerical integration of fractional differential equations is presented in this paper. The generalized differential operator is used to construct the analytic solution to the corresponding characteristic ordinary differential equation in the form of an infinite power series. The approximate numerical solution is constructed by truncating the power series, and by changing the point of the expansion. The developed adaptive integration step selection strategy is based on the controlled error of approximation induced by the truncation. Computational experiments are used to demonstrate the efficacy of the proposed scheme.

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.

NUMERICAL INTEGRATION IN THE PRESENCE OF SINGULARITIES

1981 ◽  
Vol 1 (1) ◽  
pp. 83-85 ◽  
Author(s):  
Moran P.A.P.
Keyword(s):  
Numerical Integration

SIRTF Controller Simulation: Instability Masked by Numerical Integration

1988 ◽  
Author(s):  
N. Rajan ◽  
F. J. Alexandro ◽  
J. Hirata
Keyword(s):  
Numerical Integration

Optimal Route Selection Strategy in Wireless Mesh Networks

2018 ◽  
Vol 6 (1) ◽  
pp. 238-243
Author(s):  
Pushpender Sarao ◽  
◽  
T. Raghavendra Gupta ◽  
S. Suresh ◽  
◽  
...  
Keyword(s):  
Wireless Mesh Networks ◽  
Mesh Networks ◽  
Selection Strategy ◽  
Route Selection ◽  
Optimal Route ◽  
Wireless Mesh
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