Convergence Criteria for Iterative Processes

AIAA Journal ◽  
1972 ◽  
Vol 10 (8) ◽  
pp. 1107-1108 ◽  
Author(s):  
PAL G. BERGAN ◽  
RAY W. CLOUGH
Keyword(s):  
Convergence Criteria ◽  
Iterative Processes

Meet fractal curves with 1C:MathKit

2020 ◽  
pp. 38-48
Author(s):  
O. M. Korchazhkina
Keyword(s):  
Methodological Approach ◽  
Fractal Curve ◽  
Iterative Processes ◽  
Geometric Figures ◽  
Modern Natural ◽  
Geometric Objects ◽  
Ict Tools ◽  
Subject Areas ◽  
The Subject ◽  
And Mathematics

The article presents a methodological approach to studying iterative processes in the school course of geometry, by the example of constructing a Koch snowflake fractal curve and calculating a few characteristics of it. The interactive creative environment 1C:MathKit is chosen to visualize the method discussed. By performing repetitive constructions and algebraic calculations using ICT tools, students acquire a steady skill of work with geometric objects of various levels of complexity, comprehend the possibilities of mathematical interpretation of iterative processes in practice, and learn how to understand the dialectical unity between finite and infinite parameters of flat geometric figures. When students are getting familiar with such contradictory concepts and categories, that replenishes their experience of worldview comprehension of the subject areas they study through the concept of “big ideas”. The latter allows them to take a fresh look at the processes in the world around. The article is a matter of interest to schoolteachers of computer science and mathematics, as well as university scholars who teach the course “Concepts of modern natural sciences”.

scholarly journals Finite Element Study for Magnetohydrodynamic (MHD) Tangent Hyperbolic Nanofluid Flow over a Faster/Slower Stretching Wedge with Activation Energy

Mathematics ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 25
Author(s):  
Bagh Ali ◽  
Rizwan Ali Naqvi ◽  
Amna Mariam ◽  
Liaqat Ali ◽  
Omar M. Aldossary
Keyword(s):  
Activation Energy ◽  
Finite Element ◽  
Volume Fraction ◽  
Wedge Angle ◽  
Energy Parameter ◽  
Reliability And Validity ◽  
Lewis Number ◽  
Convergence Criteria ◽  
Convective Boundary ◽  
Differential Formulation

The below work comprises the unsteady flow and enhanced thermal transportation for Carreau nanofluids across a stretching wedge. In addition, heat source, magnetic field, thermal radiation, activation energy, and convective boundary conditions are considered. Suitable similarity functions use to transmuted partial differential formulation into the ordinary differential form, which is solved numerically by the finite element method and coded in Matlab script. Parametric computations are made for faster stretch and slowly stretch to the surface of the wedge. The progressing value of parameter A (unsteadiness), material law index ϵ, and wedge angle reduce the flow velocity. The temperature in the boundary layer region rises directly with exceeding values of thermophoresis parameter Nt, Hartman number, Brownian motion parameter Nb, ϵ, Biot number Bi and radiation parameter Rd. The volume fraction of nanoparticles rises with activation energy parameter EE, but it receded against chemical reaction parameter Ω, and Lewis number Le. The reliability and validity of the current numerical solution are ascertained by establishing convergence criteria and agreement with existing specific solutions.

scholarly journals On the stability of asynchronous iterative processes

1987 ◽  
Vol 20 (1) ◽  
pp. 137-153 ◽  
Author(s):  
John N. Tsitsiklis
Keyword(s):  
Iterative Processes ◽  
The Stability

Getting the Core: A Neo‐institutionalist Approach to the EMU

1995 ◽  
Vol 30 (3) ◽  
pp. 347-369 ◽  
Author(s):  
Miriam L. Campanella
Keyword(s):  
Financial Markets ◽  
Monetary Union ◽  
Trade Agreement ◽  
Maastricht Treaty ◽  
Convergence Criteria ◽  
The North ◽  
Single European Act ◽  
Effective Role ◽  
Set Up ◽  
New Institutions

THE NEW REGIONALISM, MANIFESTED IN EUROPE BY THE SINGLE European Act and the Maastricht Treaty (1992) and in North America by the signature of the North-American Free Trade Agreement (NAFTA 1993), is centred on strategic policies and new institutions, the aims of which are to achieve a more effective role in global competition. In Europe, the shift is marked by the impending process of monetary union and the creation of its related institutions. The new approach agreed in the Maastricht Treaty sets out four requirements for eligibility to membership of monetary union. Convergence criteria embodying the judgment of financial markets about future inflation, exchange rate and fiscal policy appeared to be the second best choice for governments seeking to institutionalize their commitment to inflation-avoiding policies. The whole mechanism is meant first to provide the region with a credible monetary institution able to win over the financial markets and secondly to set up bulwarks to the inflation-prone pressures of domestic sheltered interests. Thirdly, the aim is to commit member countries, through a so-called targeting exercise (in Keohane's words) to accomplishing the agreed objectives with monetary discipline and macroeconomic adjustment.

Numerical Prediction of Flow in a Nuclear Fuel Bundle With Various Turbulence Models

2002 ◽  
Author(s):  
Wang Kee In ◽  
Dong Seok Oh ◽  
Tae Hyun Chun
Keyword(s):  
Turbulent Flow ◽  
Nuclear Fuel ◽  
Turbulence Models ◽  
Convective Transport ◽  
Stress Model ◽  
Convergence Criteria ◽  
Mean Flow ◽  
Numerical Predictions ◽  
Viscosity Models ◽  
Fuel Bundle

The numerical predictions using the standard and RNG k–ε eddy viscosity models, differential stress model (DSM) and algebraic stress model (ASM) are examined for the turbulent flow in a nuclear fuel bundle with the mixing vane. The hybrid (first-order) and curvature-compensated convective transport (CCCT) schemes were used to examine the effect of the differencing scheme for the convection term. The CCCT scheme was found to more accurately predict the characteristics of turbulent flow in the fuel bundle. There is a negligible difference in the prediction performance between the standard and RNG k-ε models. The calculation using ASM failed in meeting the convergence criteria. DSM appeared to more accurately predict the mean flow velocities as well as the turbulence parameters.

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