Non-Euclidean phase spaces. Discrete nets on the Lobachevsky plane and numerical integration algorithms for $$\Lambda^2$$ -equations

2014 ◽  
pp. 259-290
Author(s):  
Andrey Popov
Keyword(s):  
Numerical Integration ◽  
Lobachevsky Plane ◽  
Integration Algorithms

scholarly journals Notes regarding the Modeling of the Angle of Attack

2019 ◽  
Vol 304 ◽  
pp. 07012
Author(s):  
Laurentiu Moraru
Keyword(s):  
Numerical Integration ◽  
Equations Of Motion ◽  
Angle Of Attack ◽  
Numerical Algorithms ◽  
Simulated Data ◽  
Flight Simulation ◽  
Approximate Analytical Solutions ◽  
Long Time ◽  
Integration Algorithms ◽  
Nonlinear Equations Of Motion

Numerical integration has become routine for many decades and so has become the numerical integration of the aircraft’s equation of motion. Many numerical algorithms have been used in flight dynamics and the applications of the basic numerical methods to flight simulation have been included in textbooks for a long time. However, many design and/or optimization algorithms rely on analyzing large amounts of simulated data, so analytical algorithms that can provide expedite estimations of the fast varying parameters have been revaluated. The current paper discusses approximate analytical solutions for the angle of attack. Two types of such solutions are discussed. The first model considered originates in the classically linearized equations of motion. The second model discussed was obtained by simplifying the nonlinear equations of motion. The two models are compared against numerical results, provided by classical numerical integration algorithms.

scholarly journals An Efficient Numerical Integration Algorithm for Cellular Neural Network Based Hole-Filler Template Design

2007 ◽  
Vol 2 (4) ◽  
pp. 367 ◽  
Author(s):  
V. Murugesh ◽  
K. Batri
Keyword(s):  
Numerical Integration ◽  
Character Recognition ◽  
Design Method ◽  
Numerical Algorithms ◽  
Cellular Neural Network ◽  
Integration Algorithm ◽  
Integration Algorithms ◽  
Simulation Results ◽  
Template Design ◽  
Output Characteristics

This paper presents, a design method for the template of the hole-filler used to improve the performance of the character recognition using Numerical integration algorithms. This is done by analyzing the features of the hole-filler template and the dynamic process of CNN and by using popular numerical algorithms to obtain a set of inequalities satisfying its output characteristics as well as the parameter range of the hole-filler template. Some simulation results and comparisons are also presented.

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