Symbolic---numerical computations in the stability analyses of difference schemes

1990 ◽  
Author(s):  
S. I. Mazurik ◽  
E. V. Vorozhtsov
Keyword(s):  
Difference Schemes ◽  
Numerical Computations ◽  
Stability Analyses ◽  
The Stability

Symmetrizable Difference Dchemes

2005 ◽  
Vol 5 (1) ◽  
pp. 3-50 ◽  
Author(s):  
Alexei A. Gulin
Keyword(s):  
Initial Data ◽  
Difference Scheme ◽  
Difference Schemes ◽  
Time Dependent ◽  
Stability Boundaries ◽  
Typical Representative ◽  
Variable Weight ◽  
The Stability ◽  
Conditions Of Stability ◽  
The Right

AbstractA review of the stability theory of symmetrizable time-dependent difference schemes is represented. The notion of the operator-difference scheme is introduced and general ideas about stability in the sense of the initial data and in the sense of the right hand side are formulated. Further, the so-called symmetrizable difference schemes are considered in detail for which we manage to formulate the unimprovable necessary and su±cient conditions of stability in the sense of the initial data. The schemes with variable weight multipliers are a typical representative of symmetrizable difference schemes. For such schemes a numerical algorithm is proposed and realized for constructing stability boundaries.

scholarly journals The Stability Analyses of the Mathematical Models of Hepatitis C Virus Infection

2015 ◽  
Vol 9 (3) ◽  
Author(s):  
Maureen Siew Fang Chong ◽  
Masitah Shahrill ◽  
Laurie Crossley ◽  
Anotida Madzvamuse
Keyword(s):  
Hepatitis C Virus ◽  
Hepatitis C ◽  
Virus Infection ◽  
Mathematical Models ◽  
Hepatitis C Virus Infection ◽  
Stability Analyses ◽  
The Stability

scholarly journals Numerical Solution of a Kind of Fractional Parabolic Equations via Two Difference Schemes

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Abdon Atangana ◽  
Dumitru Baleanu
Keyword(s):  
Parabolic Equation ◽  
Fractional Calculus ◽  
Numerical Solution ◽  
Parabolic Equations ◽  
Difference Schemes ◽  
Stability And Convergence ◽  
Implicit Schemes ◽  
The Stability

A kind of parabolic equation was extended to the concept of fractional calculus. The resulting equation is, however, difficult to handle analytically. Therefore, we presented the numerical solution via the explicit and the implicit schemes. We presented together the stability and convergence of this time-fractional parabolic equation with two difference schemes. The explicit and the implicit schemes in this case are stable under some conditions.

The Stress and Stability Analyses of Railroad Tracks

1974 ◽  
Vol 41 (4) ◽  
pp. 841-848 ◽  
Author(s):  
A. D. Kerr
Keyword(s):  
The State ◽  
Track Structure ◽  
Railroad Track ◽  
Stability Analyses ◽  
Railroad Tracks ◽  
The Stability

The paper presents a survey of the state of knowledge in the fields of stress and stability determination of a railroad track. At first, the evolution of the railroad track structure is briefly summarized. This is followed by sections which discuss the development of the methods for the determination of stresses in the rails and ties, and the stability of the railroad track due to constrained thermal expansions.

The Equations of Motion of n-Bladed Propellers with Arbitrarily Positioned Hinges and Their Application to an Experimental One-Bladed Wind Turbine

1985 ◽  
Vol 199 (4) ◽  
pp. 237-244
Author(s):  
M Person
Keyword(s):  
Wind Turbine ◽  
Equations Of Motion ◽  
Stability Analyses ◽  
Start Up ◽  
Different Types ◽  
The Stability

The equations of motion of n-bladed propellers with arbitrarily positioned hinges are derived out of the equations of a one-bladed propeller, by superposition. Different types of propellers are compared for time variances at the equations. An unbalanced start-up and the stability analyses (Floquet) of an experimental one-bladed propeller illustrate the need to consider the interaction of the motions of nacelle or hub and blade.

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