scholarly journals High-Order Numerical Methods for BiGlobal Flow Instability Analysis and Control

10.5772/21152 ◽  
2011 ◽  
Author(s):  
Javier de ◽  
Daniel Rodriguez ◽  
Leo Gonzalez ◽  
Vassilis Theofilis
Keyword(s):  
Numerical Methods ◽  
Flow Instability ◽  
High Order ◽  
Instability Analysis ◽  
And Control

Optimization of the Navy’s three-dimensional mine impact burial prediction simulation model, Impact35, using high-order numerical methods

2021 ◽  
pp. 154851292110286
Author(s):  
Athanasios Donas ◽  
Ioannis Famelis ◽  
Peter C Chu ◽  
George Galanis
Keyword(s):  
Numerical Analysis ◽  
Numerical Methods ◽  
Prediction Model ◽  
Simulation Model ◽  
Three Dimensional ◽  
Simulation System ◽  
High Order ◽  
Alternative Methodology ◽  
Runge Kutta ◽  
Fifth Order

The aim of this paper is to present an application of high-order numerical analysis methods to a simulation system that models the movement of a cylindrical-shaped object (mine, projectile, etc.) in a marine environment and in general in fluids with important applications in Naval operations. More specifically, an alternative methodology is proposed for the dynamics of the Navy’s three-dimensional mine impact burial prediction model, Impact35/vortex, based on the Dormand–Prince Runge–Kutta fifth-order and the singly diagonally implicit Runge–Kutta fifth-order methods. The main aim is to improve the time efficiency of the system, while keeping the deviation levels of the final results, derived from the standard and the proposed methodology, low.

Numerical methods with a high order of accuracy applied in the quantum system

1996 ◽  
Vol 104 (6) ◽  
pp. 2275-2286 ◽  
Author(s):  
Wusheng Zhu ◽  
Xinsheng Zhao ◽  
Youqi Tang
Keyword(s):  
Numerical Methods ◽  
Quantum System ◽  
High Order ◽  
Order Of Accuracy ◽  
High Order Of Accuracy

scholarly journals Stabilization and Control of Delayed Recycling High Order Systems with one Unstable Pole at the Direct Path

2015 ◽  
Vol 18 (3) ◽  
pp. 789-801
Author(s):  
Juan Francisco Marquez-Rubio ◽  
Rocio Jasmin Vazquez-Guerra ◽  
Basilio del Muro-Cuéllar ◽  
Olivier Sename
Keyword(s):  
High Order ◽  
Direct Path ◽  
And Control
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