New approach for numerical solution of configuration-space Faddeev equations

1996 ◽  
Vol 101-102 (1) ◽  
pp. 391-399 ◽  
Author(s):  
J. Bernabéu ◽  
V. M. Suslov ◽  
T. A. Strizh ◽  
S. I. Vinitsky
Keyword(s):  
Numerical Solution ◽  
Configuration Space ◽  
Faddeev Equations ◽  
New Approach

nd-Scattering within MGL Approach for Configuration-Space Faddeev Equations

2019 ◽  
Vol 50 (4) ◽  
pp. 433-442 ◽  
Author(s):  
V. M. Suslov ◽  
I. Filikhin ◽  
B. Vlahovic ◽  
M. A. Braun
Keyword(s):  
Configuration Space ◽  
Faddeev Equations

scholarly journals Transforming Arithmetic Asian Option PDE to the Parabolic Equation with Constant Coefficients

2011 ◽  
Vol 2011 ◽  
pp. 1-6 ◽  
Author(s):  
Zieneb Ali Elshegmani ◽  
Rokiah Rozita Ahmad ◽  
Saiful Hafiza Jaaman ◽  
Roza Hazli Zakaria
Keyword(s):  
Parabolic Equation ◽  
Analytical Solution ◽  
Heat Equation ◽  
Numerical Solution ◽  
Closed Form ◽  
Asian Option ◽  
Asian Options ◽  
New Approach ◽  
Constant Coefficients ◽  
Closed Form Analytical Solution

Arithmetic Asian options are difficult to price and hedge, since at present, there is no closed-form analytical solution to price them. Transforming the PDE of the arithmetic the Asian option to a heat equation with constant coefficients is found to be difficult or impossible. Also, the numerical solution of the arithmetic Asian option PDE is not very accurate since the Asian option has low volatility level. In this paper, we analyze the value of the arithmetic Asian option with a new approach using means of partial differential equations (PDEs), and we transform the PDE to a parabolic equation with constant coefficients. It has been shown previously that the PDE of the arithmetic Asian option cannot be transformed to a heat equation with constant coefficients. We, however, approach the problem and obtain the analytical solution of the arithmetic Asian option PDE.

Solution of the Non-Newtonian Elastohydrodynamic Problem for Circular Contacts Based on a Flow Continuity Method

1996 ◽  
Vol 210 (4) ◽  
pp. 247-258 ◽  
Author(s):  
C A Holt ◽  
H P Evans ◽  
R W Snidle
Keyword(s):  
Film Thickness ◽  
Numerical Solution ◽  
Control Volume ◽  
Point Contact ◽  
Elastohydrodynamic Lubrication ◽  
Theoretical Formulation ◽  
New Approach ◽  
Limiting Shear Stress ◽  
Pure Rolling ◽  
Stress Behaviour

The paper describes a numerical solution method for the point contact elastohydrodynamic lubrication (EHL) problem under non-Newtonian, isothermal conditions. The theoretical formulation of the non-Newtonian effect is general and may be applied to both shear thinning and limiting shear stress behaviour. The particular rheological model investigated in this work is the Eyring ‘sinh law’ relation. The numerical solution of the lubrication equations is based upon a control volume approach rather than the more usual methods that utilize a modified Reynolds equation. This new approach ensures that flow continuity is satisfied at the discretization level. Results are presented to show the effect of non-Newtonian behaviour on film thickness and pressure distribution in circular EHL contacts operating over a range of slide-roll ratios from 0 (pure rolling) to 1.5. Under conditions of pure rolling or low sliding there is found to be little effect of non-Newtonian behaviour, but at the highest degree of sliding the film thickness over the central, flattened area of the contact is reduced by up to 10 per cent at the highest rolling speed of 0.75 m/s.

scholarly journals A New Approach to Numerical Solution of Nonlinear Klein-Gordon Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Berna Bülbül ◽  
Mehmet Sezer
Keyword(s):  
Exact Solutions ◽  
Numerical Solution ◽  
Numerical Method ◽  
Error Estimation ◽  
Matrix Method ◽  
Gordon Equation ◽  
New Approach ◽  
Collocation Points ◽  
Klein Gordon ◽  
Klein Gordon Equation

A numerical method based on collocation points is developed to solve the nonlinear Klein-Gordon equations by using the Taylor matrix method. The method is applied to some test examples and the numerical results are compared with the exact solutions. The results reveal that the method is very effective, simple, and convenient. In addition, an error estimation of proposed method is presented.

Path Planning With Selective/Desriable Orientation in Finite Twist Mapping Space

2000 ◽  
Author(s):  
Paresh Shah ◽  
Jian S. Dai
Keyword(s):  
Path Planning ◽  
Configuration Space ◽  
Redundant Manipulators ◽  
New Approach ◽  
Mapping Space ◽  
Mapping Spaces ◽  
Twist Mapping

Abstract The paper proposes a new approach for path planning based upon the finite twist mapping spaces and discusses the selective and desirable orientation in the planning. In the FT mapping space, positions and orientations are presented in conjunction with configuration space with the dexterous and partial dexterous workspaces. The path planning can hence be made with a range of dexterity of a manipulator to meet a desirable orientation. The work also extends to redundant manipulators.

Sign in / Sign up

Export Citation Format

Share Document